1) The physical quantities not having same dimensions are

a )   speed and (μ0ε0)-1/2 b )   torque and work c )   momentum and Planck's constant d )   stress and Young's module

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2) Three forces start acting simultaneously on a particle moving with velocity, . These forces are represented in magnitude and direction by the three sides of a triangle ABS (as shown). The particle will now move with velocity

a )   , remaining unchanged b )   less than c )   greater than d )   | V | in the direction of the largest force BC

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3) The coordinates of a moving particle at any time ' t ' are given by x = αt2 and y = βt3. The speed of the particle at time t ' is given by

a )   b )   3t c )   3t2 d )   t2

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4) A car, moving with a speed of 50 km/hr, can be stopped by brakes after at least 6 m. If the same car is moving at speed of 100 km/hr, the minum stopping distance is

a )   6 m b )   12 m c )   18 m d )   24 m

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5) A boy playing on the roof of a 10 m high building throws a ball with a speed of 10 m/s at an angle 30° with the horizontal. How far from the throwing point will the ball be at the height of 10 m from the ground ? [ g = 10m/s2 , sin 30° = 1/2 , cos 30° = /2

a )   8.66 m b )   5.20 m c )   4.33 m d )   2.60 m

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6) The displacement of a particle varies according to the relation x = 4 ( cos πt + sin πt ). The amplitude of the particle is

a )   8 b )   -4 c )   4 d )   4

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7) Consider following two statements : (A) Linear momentum of a system of particles is zero (B) Kinetic energy of a system of particles is zero Then

a )   A implies B and B implies A b )   A does not imply B and B does not imply A c )   A implies B but B does not imply A d )   A does not imply B but B implies A

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8) A horizontal force of 10 N is necessary to just hold a block stationary against a wall. The coefficient of friction between the block and the wall is 0.2. The weight of the block is

a )   2 N b )   20 N c )   50 N d )   100 N

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9) A marble of mass 2 kg lying on ice when given a velocity of 6 m/s is stopped by friction 1n 10 s. Then the coefficient of friction is

a )   0.01 b )   0.02 c )   0.03 d )   0.06

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10) A light balance hangs from the hook of the other light spring balance and a block of mass M kg hangs from the former one. Then the true statement about the scale reading is

a )   Both the scale read M/2 kg each b )   Both the scale read M kg each c )   The scale of the lower one reads M kg and of the upper one zero d )   The reading of the two scales can be anything but the sum of the readings will be M kg

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11) A block of mass M is pulled along a horizontal frictionless surface by a rope of mass m. If a force P is applied at the free end of the rope, the force exerted by the rope on the block is

a )   (PM)/(M + m) b )   (Pm)/(M + m) c )   (Pm)/(M - m) d )   P

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12) A spring balance is attached to the ceiling of a lift. A man hangs his bag on the spring and the spring reads 49 N, when the lift is stationary. If the lift moves downwards with an acceleration of 5 m/s2 , the reading of the spring balance will be

a )   49 N b )   24 N c )   74 N d )   15 N

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13) When a U238 nucleus originally at rest, decays by emitting an alpha particle having a speed 'u' , the recoil speed of the residual nucleus is

a )   - 4u/238 b )   4u/238 c )   - 4u/234 d )   4u/234

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14) A body is moved along a straight line by a machine delivering a constant power. The distance moved by the body in time t is proportional to

a )   t1/2 b )   t3/4 c )   t3/2 d )   t1/4

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15) A rocket with a lift-off mass 3.5 X 105 kg is blasted upward with an initial acceleration of 10 m/s2. Then the initial thrust of the blast is nearly

a )   1.75 X 105 N b )   3.5 X 105 N c )   7.0 X 105 N d )   14.0 X 105 N

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16) Two spherical bodies of mass M and 5 M and radii R and 2 R respectively are released in free space with initial separation between their centres equal to 12 R. If they attarct each other due to gravitational force only, then the distance covered by the smaller body just before collision is

a )   1.5 R b )   2.5 R c )   4.5 R d )   7.5 R

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17) A particle performing uniform circular motion has angular momentum L. If its angular frequency is doubled and its kinetic energy halved, then the new angular momentum is

a )   L/2 b )   L/4 c )   2 L d )   4 L

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18) Let F be the force acting on a particle having position vector r , and τ be the torque of this force about the origin. Then

a )   r . τ = 0 and F . τ = 0 b )   r . τ = 0 and F . τ ≠ 0 c )   r . τ ≠ 0 and F . τ = 0 d )   r . τ ≠ 0 and F . τ ≠ 0

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19) A circular disc X of radius R is made from an iron plate of thickness t, and another dise Y of radius 4 R is made from an iron plate of thickness t/4 . Then the relation between the moment of inertia Ix and Iy is

a )   Iy = 64 Ix b )   Iy = 32 Ix c )   Iy = 16 Ix d )   Iy = Ix

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20) The time period of a satellite of earth is 5 hours. If the separation between the earth and the satellite is increased to 4 times the previous value, the new time period will become

a )   20 hours b )   10 hours c )   80 hours d )   40 hours

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21) The escape velocity for a body projected vertically upwards from the surface of earth is 11 km/s. If the body is projected at an angle of 45° with the vertical, the escape velocity will be

a )   11/ km/s b )   11 km/s c )   22 km/s d )   11 km/s

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22) A mass M is suspended from a spring of negligible mass. The spring is pulled a little and then released so that the mass executes SHM of time period T. If the mass is increased by m , the time period becomes 5T/3 . Then the ratio of m/M is

a )   5/3 b )   3/5 c )   25/9 d )   16/9

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23) A spring of spring constant 5 x 103 N/m is stretched initially by 5 cm from the unstretched position. Then the work required to stretch it further by another 5 cm is

a )   6.25 Nm b )   12.50 Nm c )   18.75 Nm d )   25.00 Nm

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24) A wire suspended vertically from one of its ends is stretched by attaching a weight of 200 N to the lower end. The weight stretches the wire by 1mm. Then the elastic energy stored in the wire is

a )   0.1 J b )   0.2 J c )   10 J d )   20 J

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25) A body executes simple harmonic motion. The potential energy (P.E.), the kinetic energy (K.E.) and total energy (T.E.) are measured as a fbnction of displacement x. Which of the following statements is true?

a )   P.E. is maximum when x = 0 b )   K.E. is maximum when x = 0 c )   T.E. is zero when x = 0 d )   K.E. is maximum when x is maximum.

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26) The length of a simple pendulum executing simple harmonic motion is increased by 21 %. The percentage increase in the time period of the pendulum of increased length is

a )   10 % b )   11 % c )   21 % d )   42 %

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27) Two particles A and B of equal masses are suspended from two massless springs of spring constants k1 and k2, respectively. If the maximum velocities, during oscillation, are equal, the ratio of amplitudes of A and B is

a )   k1 / k2 b )   c )   k2 / k1 d )

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28) A metal wire of linear mass density of 9.8 g/m is stretched with a tension of 10 kg-wt between two rigid supports 1 metre apart. The wire passes at its middle point between the poles of a permanent magnet, and it vibrates in resonance when carrying an alternating current of frequency n. The frequeney n of the alternating source is

a )   25 Hz b )   50 Hz c )   100 Hz d )   200 Hz

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29) The displacement y of a wave travelling in the x-direction is given by y = 10-4 sin ( 600 t - 2x + π/3 ) metres , where x is expressed in metres and t in seconds. The speed of the wave-motion in ms-1 is

a )   200 b )   300 c )   600 d )   1200

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30) A tuning fork of known frequency 256 Hz makes 5 beats per second with the vibrating string of a piano. The beat frequency decreases to 2 beats per second when the tension in the piano string is slightly increased. The frequency of the piano string before increasing the tension was

a )   256 + 5 Hz b )   256 + 2 Hz c )   256 - 2 Hz d )   256 - 5 Hz

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31) A Carnot engine takes 3 x 106 cal of heat from a reservoir at 627° C, and gives it to a sink at 27° C. The work done by the engine is

a )   zero b )   4.2 x 106 J c )   8.4 x 106 J d )   16.8 x 106 J

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32) "Heat cannot by itself flow from a body at lower temperature to a body at higher temperature" is a statement or consequence of

a )   first law of thermodynamics b )   second law of thermodynamics c )   conservation of momentum d )   conservation of mass.

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33) During an adiabatic process, the pressure of a gas is found to be proportional to the cube of its absoute temperature. The ratio Cp/Cv for the gas is

a )   3/2 b )   4/3 c )   2 d )   5/3

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34) Which of the following parameters does not characterize the thermodynamic state of matter?

a )   Volume b )   Temperature c )   Pressure d )   Work

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35) According to Newton's law of cooling, the rate of cooling of a body is proportional to ( Δ θ )n , where Δ θ is the difference of the temperature of the body and the surroundings, and n is equal to

a )   one b )   two c )   three d )   four

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36) The earth radiates in the infra-red region of spectrum. The spectrum is correctly given by

a )   Wien's law b )   Rayleigh Jeans law c )   Planck's law of radiation d )   Stefan's law of radiation

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37) To get three images of a single object, one should have two plane mirrors at an angle of

a )   30° b )   60° c )   90° d )   120°

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38) Consider telecommunication through optical fibres. Which of the following statements is not true

a )   Optical fibres may have homogeneous crore with suitable cladding b )   Optical fibres can be of graded refractive index c )   Optical fibres are subject to electromagnetic interference from outside d )   Optical fibres have extremely low transmission losses

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39) The image formed by an objective of compound microscope is

a )   virtual and enlarged b )   virtial and diminished c )   real and diminished d )   real and enlarged

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40) To demonstrate the phenomenon of interference, we require two sources which emit radiation

a )   of the same frequency and having a definite phase relationship b )   of nearly the same frequency c )   of the same frequency d )   of different wavelengths.

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41) Dimensions of 1/μ0ε0 , where symbols have their usual meaning, are

a )   [ L T-1 ] b )   [ L-1 T ] c )   [ L-2 T2 ] d )   [ L2 T-2 ]

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42) Three charges -q1 + q2 and - q3 are placed as shown in the figure. The x-component of the force on - q1 is proportional to

a )   q2   -   q3   sin θ   b2 a2 b )   q2   -   q3   cos θ   b2 a2 c )   q2   +   q3   sin θ   b2 a2 d )   q2   +   q3   cos θ   b2 a2

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43) A thin spherical conducting shell of radius R has a charge q. Another charge Q is placed at the centre of the shell. The electrostatic potential at a point P at a distance R/2 from the centre of the shell is

a )   ( q + Q )     2     4 π ε0 R b )   2 Q 4 π ε0 R c )   2 Q   -   2 q     4 π ε0 R 4 π ε0 R d )   2 Q   +   q     4 π ε0 R 4 π ε0 R

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44) If the electric flux entering and leaving an enclosed surface respectively is Φ1 and Φ2 , the electric charge inside the surfae will be

a )   ( Φ1 + Φ2 ) ε0 b )   ( Φ1 - Φ2 ) ε0 c )   ( Φ1 + Φ2 ) / ε0 d )   ( Φ1 - Φ2 ) / ε0

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45) The work done in placing a charge of 8 x 10-18 coulomb on a condenser of capacity 100 micro-farad is

a )   32 x 10-32 joule b )   16 x 10-32 joule c )   31 x 10-26 joule d )   4 x 10-10 joule

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46) A sheet of aluminium foil of negligible thickness is introduced between the plates of a capacitor, The capacitance of the capacitor

a )   increases b )   decreases c )   remains unchanged d )   becomes infinite.

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47) A 3 volt battery with negligible internal resistance is connected in a circuit as shown in the figure. The current, I, in the circuit will be

a )   1/3 A b )   1 A c )   1.5 A d )   2 A

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48) An ammeter reads upto 1 ampere. Its internal resistance is 0.81 ohm. To increase the range to 10 A, the value of the required shunt is

a )   0.09 Ω b )   0.03 Ω c )   0.3 Ω d )   0.9 Ω

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49) The length of a wire of a potentiometer is 100 cm, and the emfofits standard cell is E volt. It is employed to measure the emf of a battery whose internal resistance is 0.5 Ω . If the balance point is obtained at l = 30cm from the positive end, emf of the battery is

a )   30 E 100 b )   30 E 100.5 c )   30 E ( 100 - 0.5 ) d )   30 ( E - 0.5i ) 100

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50) The length of a given cylindrical wire is increased by 100%. Due to the consequent decrease in diameter the change in the resistance of the wire will be

a )   300 % b )   200 % c )   100% d )   50 %

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51) A strip of copper and another of germanium are cooled from room temperature to 80 K. The resistance of

a )   each of these increases b )   each of these decreases c )   copper strip increases and that of germanium decreases d )   copper strip decreases and that of germanium increases.

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52) A 220 volt, 1000 watt bulb is connected across a 110 volt mains supply. The power consumed will be

a )   1000 watt b )   750 watt c )   500 watt d )   250 watt.

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53) The thermo emf of a thermo-couple is 25 μ V/° C at room temperature. A galvanometer of 40 ohm resistance, capable of detecting current as low as 10-5 A, is connected with the thermocouple. The smallest temperature difference that can be detected by this system is

a )   20 ° C b )   16 ° C c )   12 ° C d )   8 ° C

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54) The negative Zn pole of Daniell cell sending a constant current through a circuit, decreases in mass by 0.13 g in 30 minutes. If the electrochemical equivalent of Zn and Cu are 32.5 and 31.5 respectively, the increase in the mass of the positive Cu pole in this time is

a )   0.242 g b )   0.180 g c )   0.141 g d )   0.126 g

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55) A thin rectangular magnet suspended freely has a period of oscillation equal to T. Now it is broken into two equal halves (each having half of the original length) and one piece is made to oscillate freely in the same field. If its period of oscillation is T' , the ratio T'/T is

a )   1/4 b )   1/(2) c )   1/2 d )   2

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56) A particle of mass M and charge Q moving with velocity v describes a circular path of radius R when subjected to a uniform transverse magnetic field of induction B. The work done by the field when the particle completes one full circle is

a )   B Q v 2 π R b )   ( m v2 ) cos θ R c )   zero d )   B Q 2 π R

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57) A particle of charge - 16 x 10-18 coulomb moving with velocity 10 ms-1 along the x-axis enters a region where a magnetic field of induction B is along the y-axis, and an electric field of magnitude 104 V/m is along the negative z-axis. If the charged particle continues moving along the x-axis, the magnitude of B is

a )   10-3 Wb/m2 b )   103 Wb/m2 c )   105 Wb/m2 d )   1016 Wb/m2

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58) Curie temperature is the temperature above which

a )   a paramagnetic matetrial becomes ferromagnetic b )   a ferromagnetic material becomes paramagnetic c )   a paramagnetic material becomes diamagnetic d )   a ferromagnetic material becomes diamagnetic.

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59) A magnetic needle lying parallel to a magnetic field requires W units of work to turn it through 60°. The torque needed to maintain the needle in this positior will be

a )   2 W b )   W c )   W d )   (/2) W

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60) The magnetic lines of force inside a bar magnet

a )   are from south-pole to north-pole of the magnet b )   are from north-pole to south-pole of the magnet c )   do not exist d )   depend upon the area of cross-section of the bar magnet.

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61) Two coils are placed close to each other. The mutual inductance of the pair of coils depends upon

a )   the currents in the two coils b )   the rates at which currents are changing in the two coils c )   relative position and orientation of the two coils d )   the material of the wire of the coils.

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62) The core of any transformer is laminated so as to

a )   increase the secondary voltage b )   reduce the energy loss due to eddy currents c )   make it light weight d )   make it robust and strong.

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63) When the current changes from + 2 A to �2 A in 0.05 second, an emf of 8 V is induced in a coil. The coefficient of self-induction of the coil is

a )   0.1 H b )   0.2 H c )   0.4 H d )   0.8 H

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64) In an oscillating LC circuit, the maximum charge on the capacitor is Q. The charge on the capacitor when the energy is stored equally between the electric and magnetic field is

a )   Q b )   Q/2 c )   Q/ d )

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65) Which of the following radiations has the least wavelength?

a )   X - rays b )   γ - rays c )   β - rays d )   α - rays

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66) Two identical photocathodes receive light of frequencies f1 andf2. If the velocities of the photo electrons ( of mass m) coming out are respectively v1 and v2, then

a )   v1 - v2 =   [   2 h  ( f1 - f2 ) ] 1/2 m b )   v12 - v22 =   2 h  ( f1 - f2 ) m c )   v1 + v2 =   [   2 h  ( f1 + f2 ) ] 1/2 m d )   v12 + v22 =   2 h  ( f1 + f2 ) m

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67) Which of the following cannot be emitted by radioactive substances during their decay?

a )   Electrons b )   Protons c )   Neutrinoes d )   Helium nuclei.

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68) A radioactive sample at any instant has its disintegration rate 5000 disintegrations per minute. After 5 minutes, the rate is 1250 disintegrations per minute. Then, the decay constant (per minute) is

a )   0.8 ln 2 b )   0.4 ln 2 c )   0.2 ln 2 d )   0.1 ln 2

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69) A nucleus with Z = 92 emits the following in a sequence : α , β-1 , β-1 , α , α , α , α , α, β-1 , β-1 , α , β+1 , β+1 , α The Z of the resulting nucleus is

a )   74 b )   76 c )   78 d )   82

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70) Which of the following atoms has the lowest ionization potential ?

a )   168 O b )   147 N c )   13355 Cs d )   4018 Ar

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71) The wavelengths involved in the spectrum of deuterium (21 D) are slightly different from that of hydrogen spectrum, because

a )   the attraction between the electron and the nucleus is different in the two cases b )   The size of the two nuclei are different c )   the nuclear forces are different in the two cases d )   the masses of the two nuclei are different.

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72) In the nuclear fusion reaction 21 H + 31 H, given that the repulsive potential energy between the two nuclei is - 7.7 x 10-14 J, the temperature at which the gases must be heated to initiate the reaction is nearly [Boltzmann's constant k = 1.38 x 10-23 J/K]

a )   10 9 K b )   10 7 K c )   10 5 K d )   10 3 K

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73) If the binding energy of the electron in hydrogen atom is 13.6 eV, the energy required to remove the electron from the first excited state of Li++ is

a )   122.4 eV b )   30.6 eV c )   13.6 eV d )   3.4 eV

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74) The difference in the variation of resistance with temperature in a metal and a semiconductor arises essentially due to the difference in the

a )   variation of scattering mechanism with temperature b )   crystal structure c )   variation of the number of charge carriers with temperature d )   type of bonding.

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75) In the middle of the depletion layer of a reverse-biased p-n junction, the

a )   potential is zero b )   electric field is zero c )   potential is maximum d )   electric field is maximum.

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76) In Bohr series of lines of hydrogen spectrum, the third line from the red end corresponds to which one of the following inter-orbit jumps of the electron for Bohr orbits in an atom of hydrogen?

a )   3 → 2 b )   5 → 2 c )   4 → 1 d )   2 → 5

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77) The de Brogile wavelength of a tennis ball of mass 60 g moving with a velocity of 10 metres per second is approximately Planck-s constant, h = 6.63 x 10-34 Js.

a )   10-33 metres b )   10-31 metres c )   10-16 metres d )   10-25 metres

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78) The orbital angular momentum for an electron revolving in an orbit is given by This momentum for an s-electron will be given by

a )   + 1/2 . h/2π b )   zero c )   h/2π d )   . h/2π

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79) How many unit cells are present in a cube-shaped ideal crystal of NaCl of mass 1.00 g ? [Atomic masses Na = 23 , Cl = 35.5]

a )   2.57 x 1021 unit cells b )   5.14 x 1021 unit cells c )   1.28 x 1021 unit cells d )   1.71 x 1021 unit cells

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80) Glass is a

a )   micro-crystalline solid b )   super-cooled liquid c )   gel d )   polymeric mixture

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81) Which one of the following statements is correct?

a )   Manganese salts give a violet borax bead test in the reducing flame b )   From a mixed precipitate of AgCl and AgI, ammonia solution dissolves only AgCl c )   Ferric ions give a deep green precipitate on adding potassium ferrocyanide solution d )   On boiling a solution having K+, Ca2+ and HCO3- ions we a precipitate of K2Ca(CO3)2

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82) According to the Periodic Law of elements, the variation in properties of elements is related to their

a )   atomic masses b )   nuclear masses c )   atomic numbers d )   nuclear neutron-proton numbers ratio

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83) Graphite is a soft solid lubricant extremely difficult to melt. The reason for this anomalous behaviour is that graphite

a )   is a non-crystalline substance b )   is an allotropic form of diamond c )   has molecules ofvariable molecular masses like polymers d )   has carbon atoms arranged in large plates of rings of strongly bound carbon atoms with weak interplate bonds

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84) The IUPAC name of CH3COCH(CH3)2 is

a )   Isopropylmethyl ketone b )   2-methyl-3-butanone c )   4-methylisopropyl ketone d )   3-methyl-2 butanone

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85) When CH2 = CH - COOH is reduced with Li Al H4 , the compound obtained will be

a )   CH3 - CH2 - COOH b )   CH2 = CH - CH2OH c )   CH3 - CH2 - CH2OH d )   CH3 - CH2 - CHO

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86) According to the kinetic theory of gases, in an ideal gas, between two successive collisions a gas molecule travels

a )   in a circular path b )   in a wavy path c )   in a straight line path d )   with an accelerated velocity

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87) A reduction in atomic size with increase in atomic number is a characteristic of elements of

a )   high atomic masses b )   d-block c )   f-block d )   radioactive series

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88) The general formula CnH2nO2 could be for open chain

a )   diketones b )   carboxylic acids c )   diols d )   dialdehydes

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89) An ether is more volatile than an alcohol having the same molecular formula. This is due to

a )   dipolar character of ethers b )   alcohols having resonance structures c )   inter-molecular hydrogen bonding in ether d )   inter-molecular hydrogen bonding in alcohols

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90) Among the following four structures I to IV , it is true that

a )   all four are chiral compounds b )   only I and II are chiral compounds c )   only III is a chiral compound d )   only II and IV are chiral compounds.

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91) Which one of the following processes will produce hard water?

a )   Saturation of water with CaCO3 b )   Saturation of water with MgCO3 c )   Saturation of water with CaSO4 d )   Addition of Na2SO4 to water.

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92) Which one of the following compounds has the smallest bond angle in its molecule?

a )   SO2 b )   OH2 c )   SH2 d )   NH3

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93) Which one of the following pairs of molecules will have permanent dipole moments for both members ?

a )   SiF4 and NO2 b )   NO2 and CO2 c )   NO2 and O3 d )   SiF4 and CO2

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94) Which one of the following groupings represents a collection of isoelectronic species? (At. nos. : Cs : 55, Br: 35)

a )   Na+ , Ca2+ , Mg2+ b )   N3- , F- , Na+ c )   Be , Al3+ , Cl- d )   Ca2+ , Cs+ , Br

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95) In the anion HCOO- the two carbon-oxygen bonds are found to be of equal length. What is the reason for it?

a )   Electronic orbitals of carbon atom are hybridised b )   The C = O bond is weaker than the C - O bond c )   The anion HCOO- has two resonating structures d )   The anion is obtained by removal of a proton from the acid molecule.

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96) The pair of species having identical shapes for moecules of both species is

a )   CF4, SF4 b )   XeF2, CO2 c )   BF3, PCl3 d )   PF5, IF5

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97) The atomic numbers of vanadium (V), chromium (Cr. manganese (Mn) and iron (Fe) are respectively 23, 24. 25 and 26. Which one of these may be expected to have the highest second ionization enthalpy ?

a )   V b )   Cr c )   Mn d )   Fe

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98) Consider the reaction equilibrium 2SO2(g) + O2(g) 2SO3(g) ; ΔH° = - 198 kJ. On the basis of Le Chatelier's principle, the condition favourable for the forward reaction is

a )   lowering of temperature as well as pressure b )   increasing temperature as well as pressure c )   lowering the temperature and increasing the pressure d )   any value of temperature and pressure.

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99) What volume of hydrogen gas, at 273 K and 1 atm. pressure will be consumed in obtaining 21.6 g of elemental boron (atomic mass = 10.8) from the reduction of boron trichloride by hydrogen?

a )   89.6 L b )   67.2 L c )   44.8 L d )   22.4 L

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100) For the reaction equilibrium, N2O4(g) 2NO2(g) the concentrations of N2O4 and NO2 at equilibrium are 4.8 x 10-2 and 1.2 x 10-2 mol L-1 respectively. The value of K for the reaction is

a )   3.3 X 102 mol L-1 b )   3 X 10-1 mol L-1 c )   3 X 10-3 mol L-1 d )   3 X 103 mol L-1

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101) The solubility in water of a sparingly soluble AB2 is 1.0 x 10-5 mol L-1. Its solubility product number will be

a )   4 X 10-15 b )   4 X 10-10 c )   1 X 10-15 d )   1 X 10-10

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102) When during electrolysis of a solution of AgN, 9650 coulombs of charge pass through the electroplating bath, the mass Of silver deposited on the cathode will be

a )   1.08 g b )   10.8 g c )   21.6 g d )   108 g

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103) For the redox reaction: Zn(s) + Cu2+ (0.1 M) → Zn2+ (1 M) + Cu(s) taking place in a cell, E°cell is 1.10 volt. Ecell for the cell will be ( 2.303 RT/F = 0.0591 )

a )   2.14 volt b )   1.80 volt c )   1.07 volt d )   0.82 volt

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104) In a 0.2 molal aqueous solution of a weak acid HX the degree of ionization is 0.3. Taking kf for water as 1.85, the freezing point of the solution will be nearest to

a )   - 0.480° C b )   - 0.360° C c )   - 0.260° C d )   + 0.480° C

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105) The rate law for a reaction between the substances A and B is given by Rate = k[A]n [B]m On doubling the concentration of A and halving the concentration of B, the ratio of the new rate to the earlier rate of the reaction will be as

a )   1/( 2(m+n) ) b )   m + n c )   n - m d )   2(n-m)

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106) 25 ml of a solution of barium hydroxide on titration with a 0.1 molar solution of hydrochloric acid gave a litre value of 35 ml. The molarity of barium hydroxide solution was

a )   0.07 b )   0.14 c )   0.28 d )   0.35

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107) The correct relationship between free energy change in a reaction and the corresponding equilibrium constant Kc is

a )   Δ G = R T ln Kc b )   - Δ G = R T ln Kc c )   Δ G° = R T ln Kc d )   - Δ G° = R T ln Kc

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108) If at 298 K the bond energies of C - H, C - C, C = C and H - H bonds are respectively 414, 347, 615 and 435 kJ mol-1 , the value of enthalpy change for the reaction H2C = C H2 (g) → H3C - C H3 (g) at 298 K will be

a )   + 250 kJ b )   - 250 kJ c )   + 125 kJ d )   - 125 kJ

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109) The enthalpy change for a reaction does not depend upon

a )   the physical states of reactants and products b )   use of different reactants for the same product c )   the nature of intermediate reaction steps d )   the differences in initial or final temperatures of involved substances.

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110) A pressure cooker reduces cooking time for food because

a )   heat is more evenly distributed in the cooking space b )   boiling point of water involved in cooking is increased c )   the higher pressure inside the cooker crushes the food material d )   cooking involves chemical changes helped by a rise in temperature.

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111) If liquids A and B form an ideal solution,

a )   the enthalpy of mixing is zero b )   the entropy of mixing is zero c )   the free energy of mixing is zero d )   the free energy as well as the entropy of mixing are each zero.

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112) For the reaction system, 2NO (g) + O2 (g) → 2NO2 (g) volume is suddenly reduced to half its value by increasing the pressure on it. If the reaction is of first order with respect to O2 and second order with respect to NO, the rate of reaction will

a )   diminish to one-fourth of its initial value b )   diminish to one-eight of its initial value c )   increase to eight times of its initial value d )   increase to four times of its initial value.

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113) For a cell reaction involving a two-electron change, the standard e.m.f. of the cell is found to be 0.295 V at 25°C. The equilibrium constant of the reaction at 25°C will be

a )   1 X 10-10 b )   29.5 X 10-10 c )   10 d )   1 X 1010

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114) In an irreversible process taking place at constant T and P in which only pressure-volume work is being done, the change in Gibbs free energy (dG) and change in entropy (dS), satisfy the criteria

a )   (dS)V,E < 0 , (dG)T,P < 0 b )   (dS)V,E > 0 , (dG)T,P < 0 c )   (dS)V,E = 0 , (dG)T,P = 0 d )   (dS)V,E = 0 , (dG)T,P > 0

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115) Which one of the following characteristics is not correct for physical adsorption?

a )   Adsorption on solids is reversible b )   Adsorption increases with increase in temperature c )   Adsorption is spontaneous d )   Both enthalpy and entropy of adsorption are negative

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116) In respect of the equation k = Ae-Ea/RT in chemical kinetics, which one of the following statements is correct?

a )   k is equilibrium constant b )   A is adsorption factor c )   Ea is energy of activation d )   R is Rydberg's constant

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117) Standard reduction electrode potentials of three metals A, B and C are respectively + 0.5 V, - 3.0 V and � 1.2 V. The reducing powers of these metals are

a )   B > C > A b )   A > B > C c )   C > B > A d )   A > C > B

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118) Which one of the following substances has highest proton affinity?

a )   H2O b )   H2S c )   NH3 d )   PH3

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119) Which one of the following is an amphoteric oxide?

a )   ZnO b )   Na2O c )   SO2 d )   B2O3

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120) A red solid is insoluble in water. However it becomes soluble if some KI is added to water. Heating the red solid in a test tube results in liberation of some violet coloured fumes and droplets of a metal appear on the cooler parts of the test tube. The red solid is

a )   (NH4)2Cr2O7 b )   HgI2 c )   HgO d )   Pb3O4

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121) Concentrated hydrochloric acid when kept in open air sometimes produces a cloud of white fumes. The explanation for it is that

a )   concentrated hydrochloric acid emits strongly smelling HC1 gas all the time b )   Oxygen in air reacts with the emitted HCl gas to form a cloud of chlorine gas c )   strong affinity of HCl gas for moisture in air results in forming of droplets of liquid solution which appears like a cloudy smoke d )   due to strong affinity for water, concentrated hydrochloric acid pulls moisture of air towards itself. This moisture forms droplets of water and hence the cloud.

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122) What may be expected to happen when phosphine gas is mixed with chlorine gas?

a )   The mixture only cools down b )   PCl3 and HCl are formed and the mixture warms up c )   PCl5 and HCl are formed and the mixture cools down d )   PH3.Cl2 is formed with warming up.

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123) The number of d-electrons retained in Fe2+ (At. no. of Fe = 26) ion is

a )   3 b )   4 c )   5 d )   6

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124) What would happen when a solution of potassium chromate is treated with an excess of dilute nitric acid?

a )   Cr3+ and Cr2O72- are formed b )   Cr2O72- and H2O are formed c )   CrO42- is reduced to + 3 state of Cr d )   CrO42- is oxidized to + 7 state of Cr.

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125) In the coordination compound, K4[Ni(CN)4], the oxidation state of nickel is

a )   -1 b )    0 c )   +1 d )   +2

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126) Ammonia forms the complex ion [Cu(NH3)4]2+ with copper ions in alkaline solutions but not in acidic solutions. What is the reason for it?

a )   In acidic solutions hydration protects copper ions b )   In acidic solutions protons coordinate with ammonia molecules forming NH4 ions and NH3 molecules are not available c )   In alkaline solutions insoluble Cu(OH)2 is precipitated which is soluble in excess of any alkali d )   Copper hydroxide is an amphoteric substance.

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127) One mole of the complex compound Co(NH3)5Cl3 , gives 3 moles of ions on dissolution in water. One mole of the same complex reacts with two moles of AgNO3 solution to yield two moles of AgCl(s). The structure of the complex is

a )   [ Co(NH3)5Cl ] Cl2 b )   [ Co(NH3)3Cl3 ] . 2 NH3 c )   [ Co(NH3)4Cl2 ] . Cl NH3 d )   [ Co(NH3)4Cl ] Cl2 . NH3

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128) The radius of La3+ (Atomic number of La = 57) is 1.06 Å . Which one of the following given values will be closest to the radius of Lu3+. (Atomic number of Lu = 71)?

a )   1.60 Å b )   1.40 Å c )   1.06 Å d )   0.85 Å

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129) The radionucleide 23490Th undergoes two successive β-decays followed by one α-decay. The atomic number and the mass number respectively of the resulting radionucleide are

a )   92 and 234 b )   94 and 230 c )   90 and 230 d )   92 and 230

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130) The half-life of a radioactive isotope is three hours. If the initial mass of the isotope were 256 g , the mass of it remaining undecayed after 18 hours would be

a )   4.0 g b )   8.0 g c )   1.20 g d )   16.0 g

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131) Several blocks of magnesium are fixed to the bottom of a ship to

a )   keep away the sharks b )   make the ship lighter c )   prevent action of water and salt d )   prevent puncturing by under-sea rocks

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132) In curing cement plasters water is sprinkled from time to time. This helps in

a )   keeping it cool b )   developing interlocking needle-like crystals of hydrated silicates c )   hydrating sand and gravel mixed cement d )   converting sand into silicic acid

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133) Which one of the following statements is true?

a )   The conjugate base of H2PO4- is HPO42- b )   pH + pOH = 14 for all aqueous solution c )   The pH of 1 x 10-8M HCl is 8 d )   96,500 coulombs of electricity when passed through a CuSO4 solution deposits 1 g equivalent of copper at the cathode

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134) The correct order of increasing basic nature of the bases NH3 , CH3NH2 and (CH3)2NH is

a )   CH3NH2 < NH3 < (CH3)2NH b )   (CH3)2NH < NH3 < CH3NH2 c )   NH3 < CH3NH2 < (CH3)2NH d )   CH3NH2 < (CH3)2NH < NH3

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135) Butene-1 may be converted to butane by reacting with

a )   Zn - HCl b )   Sn - HCl c )   Zn - Hg d )   Pd/H2

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136) The solubilities of carbonates decrease down the magnesium group due to a decrease in

a )   lattice energies of solids b )   hydration energies of cations c )   inter-ionic attraction d )   entropy of solution formation

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137) During dehydration of alcohols to alkenes by heating with conc. H2SO4, the initiation step is

a )   protonation of alcohol molecule b )   formation of carbocation c )   elimination of water d )   formation of an ester

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138) Which one of the following nitrates will leave behind a metal on strong heating?

a )   Ferric nitrate b )   Copper nitrate c )   Manganese nitrate d )   Silver nitrate

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139) When rain is accompanied by a thunderstorm, the collected rain water will have a pH value

a )   slightly lower than that of rain water without thunderstorm b )   slightly higher than that when the thunderstorm is not there c )   uninfluenced by occurrence of thunderstorm d )   which depends on the amount of dust in air

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140) Complete hydrolysis of cellulose gives

a )   D-fructose b )   D-ribose c )   D-glucose d )   L-glucose

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141) For making good quality mirrors, plates of float glass are used. These are obtained by floating molten glass over a liquid metal which does not solidify before glass. The metal used can be

a )   mercury b )   tin c )   sodium d )   magnesium

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142) The substance not likely to contain CaCO3 is

a )   a marble statue b )   calcined gypsum c )   sea shells d )   dolomite

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143) The reason for double helical structure of DNA is operation of

a )   van der Waals' forces b )   dipole-dipole interaction c )   hydrogen bonding d )   electrostatic attractions

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144) Bottles containing C6H5I and C6H5CH2I lost their original lables. They were labelled A and B for testing. Aand B were separately taken in test tubes and boiled with NaOH solution. The end solution in each tube was made acidic with dilute HNO3 and then some AgNO3 solution was added. Substance B gave a yellow precipitate. Which one of the following statements is true for this experiment?

a )   A was C6H5I b )   A was C6H5CH2I c )   B was C6H5I d )   Addition of HNO3 was unnecessary.

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145) Ethyl isocyanide on hydrolysis in acidic medium generates

a )   ethylainine salt and methanoic acid b )   propanoic acid and ammonium salt c )   ethanoic acid and ammonium salt d )   methylamine salt and ethanoic acid

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146) The internal energy change when a system goes from state A to B is 40 kJ/mole. If the system goes from A to B by a reversible path and returns to state A by an irreversible path what would be the net change in internal energy?

a )   40 b )   > 40 kJ c )   < 40 kJ d )   Zero

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147) The reaction of chloroform with alcoholic KOH and p-toluidine forms

a )   b )   c )   d )

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148) Nylon threads are made of

a )   polyvinyl polymer b )   polyester polymer c )   polyamide polymer d )   polyethylene polymer

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149) On mixing a certain alkane with chlorine and irradiating it with ultraviolet light, it forms only one monochloroalkane. This alkane could be

a )   propane b )   pentane c )   isopentane d )   neopentane

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150) Which of the following could act as a propellant for rockets?

a )   Liquid hydrogen + liquid nitrogen b )   Liquid oxygen + liquid nitrogen c )   Liquid hydrogen + liquid oxygen d )   Liquid nitrogen + liquid oxygen

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