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2006 IITJEE Physics Paper

A )	18, 8/9, 4

B )	18, 4, 8/9

C )	4, 8/9, 18

D )	8/9, 18, 4

A )

g , g/2

B )

g/2 , g

C )

g , g

D )

g/2 , g/2

A )	60 cm left of AB

B )	30 cm left of AB

C )	12 cm left of AB

D )	60 cm right of AB

A )

πr² ∝ f

B )

πr² ∝ f²

C )	if lower half part is covered by black sheet, then area of the image is equal to πr²/2

D )	if f is doubled, intensity will increase

A )

B )

1/2

C )

1.5

D )

3/4

A )	0.50 ± 0.05 cm

B )	0.50 ± 0.10 cm

C )	5.00 ± 0.05 cm

D )	5.00 ± 0.10 cm

A )

L/5

B )

4L/5

C )

3L/5

D )

L/4

A )

T_A	= (	r_A	)^3/2
T_B		r_B

B )	T_A > T_B (if r_A > r_B)

C )	T_A > T_B (if m_A > m_B)

D )

T_A = T_B

A )

B )

C )

D )

A )

Δl	ΔT	n	Amplitude of oscillation
5 mm	0.2 sec	10	5 mm

B )

Δl	ΔT	n	Amplitude of oscillation
5 mm	0.2 sec	20	5 mm

C )

Δl	ΔT	n	Amplitude of oscillation
5 mm	0.1 sec	20	1 mm

D )

Δl	ΔT	n	Amplitude of oscillation
1 mm	0.1 sec	50	1 mm

A )

2.25 mm

B )

2.20 mm

C )

1.20 mm

D )

1.25 mm

A )	Power loss in first half is four times the power loss in second half.

B )	Voltage drop in first half is twice of voltage drop in second half.

C )	Current density in both halves are equal.

D )	Electric field in both halves is equal.

A )	an electrostatic field

B )	a magnetostatic field

C )	a gravitational field of a mass at rest

D )	an induced electric field

A )	For spherical region r ≤ R₀ , total electrostatic energy stored is zero.

B )	Within r = 2R₀ , total charge is q.

C )	There will be no charge anywhere except at r = R₀.

D )	Electric field is discontinuous at r = R₀.

A )	frictional force is always μmgcosθ

B )	friction is a dissipative force

C )	by decreasing θ, frictional force decreases

D )	friction opposes translation and supports rotation.

A )	for any value of A, B and C (except C = 0)

B )	if A = -B; C = 2B, amplitude = \|B\|

C )	if A = B; C = 0

D )	if A = B; C = 2B, amplitude = \|B\|

A )	The quantity of radiation absorbed by the black body in unit time will increase.

B )	Since emissivity = absorptivity, hence the quantity of radiation emitted by black body in unit time will increase.

C )	Black body radiates more energy in unit time in the visible spectrum.

D )	The reflected energy in unit time by the black body remains same.

A )	Ratio of work functions φ₁ : φ₂ : φ₃ = 1 : 2 : 4

B )	Ratio of work functions φ₁ : φ₂ : φ₃ = 4 : 2 : 1

C )	tan θ is directly proportional to hc/e, where h is Planck's constant and c is the speed of light.

D )	The violet colour light can eject photoelectrons from metals 2 and 3.

A )	Net force on the loop is zero.

B )	Net torque on the loop is zero.

C )	As seen from O, the loop rotates clockwise.

D )	As seen from O, the loop rotates anticlockwise

A )	h_A > h_C ; K_B > K_C

B )	h_A > h_C ; K_C > K_A

C )	h_A = h_C ; K_B = K_C

D )	h_A < h_C ; K_B > K_C

A )	after time interval τ, charge on the capacitor is CV/2

B )	after time interval 2τ, charge on the capacitor is CV(1-e^-2)

C )	the work done by the voltage source will be half of the heat dissipated when the capacitor is fully charged.

D )	after time interval 2&tau, charge on the capacitor is CV(1-e^-1)

A )	at t = 0, energy stored in the circuit is purely in the form of magnetic energy

B )	at any time t > 0, current in the circuit is in the same direction

C )	at t > 0, there is no exchange of energy between the inductor and capacitor

D )	at any time t > 0, instantaneous current in the circuit may

A )

the charge on the capacitor is

Q = Q₀ cos(	π	+	t	)
	2

B )

the charge on the capacitor is

Q = Q₀ cos(	π	-	t	)
	2

C )

the charge on the capacitor is

Q = -LC	d²Q
	dt²

D )

the charge on the capacitor is

Q = -	1		d²Q
			dt²

A )

2h/3

B )

5h/4

C )

5h/3

D )

5h/2

A )

h/3

B )

4h/9

C )

2h/3

D )

A )	cylinder will not move up and remains at its original position.

B )	for h₂ = h/3, cylinder again starts moving up

C )	for h₂ = h/4, cylinder again starts moving up

D )	for h₂ = h/5 cylinder again starts moving up

A )

B )

C )

D )

A )

100 m/s

B )

192 m/s

C )

200 m/s

D )

96 m/s

A )

100

B )

C )

192

D )

30) In conventional vehicle, power is dissipated due to friction. To reduce the loss of power due to friction MAGLEV train using a new technology called electro dynamic suspension (EDS) was developed by the Japanese. The magnetized coil running along the track called the guide way, repels the large magnets on the train's undercarriage, allowing the train to levitate between 1 to 10cm above the guideway.
The electric current supplied to the coils in the guideway walls is constantly alternating to change the polarity of the magentized coil. The hchange of the polarity causes the magnetic field in front of the train to pull the vehicle forward, while the magnetic field behind the train adds more forward thrust.
It works on the principle of Lenz's law. In this system a train moves without contact with track or it flots on a cushion of air, eliminating friction. In this system electromagnets are attached to the train and conducting coils on the track. When th etrain moves there is a change of flux in the conducting coil and due to induction the train is repelled by the track which lifts the train above the track.
It also has stability factor. If the train comes downward the repulsive force increases to restore its position and if it goes up, then repulsive force decreases to bring it down..
Due to induced circulating currents an opposing force acts on the train. A significant power is required to propel the train against the force at low speeds.

Choose the correct statement about MAGLEV train.

A )	It is lifted due to magnetic repulsion

B )	It moves due to magnetic attraction

C )	It is lifted due to electrostatic repulsion.

D )	It moves due to electrostatic attraction.

31) In conventional vehicle, power is dissipated due to friction. To reduce the loss of power due to friction MAGLEV train using a new technology called electro dynamic suspension (EDS) was developed by the Japanese. The magnetized coil running along the track called the guide way, repels the large magnets on the train's undercarriage, allowing the train to levitate between 1 to 10cm above the guideway.
The electric current supplied to the coils in the guideway walls is constantly alternating to change the polarity of the magentized coil. The hchange of the polarity causes the magnetic field in front of the train to pull the vehicle forward, while the magnetic field behind the train adds more forward thrust.
It works on the principle of Lenz's law. In this system a train moves without contact with track or it flots on a cushion of air, eliminating friction. In this system electromagnets are attached to the train and conducting coils on the track. When th etrain moves there is a change of flux in the conducting coil and due to induction the train is repelled by the track which lifts the train above the track.
It also has stability factor. If the train comes downward the repulsive force increases to restore its position and if it goes up, then repulsive force decreases to bring it down..
Due to induced circulating currents an opposing force acts on the train. A significant power is required to propel the train against the force at low speeds.

The disadvantge of EDS is

A )	Lot of energy is lost to start the motion as there is more opposition to the motion at lower speeds

B )	repulsive force is conservative so it lifts the vehicle and bring down.

C )	magnetic force tends to bring down the train.

D )	It cannot overcome the force of gravity.

32) In conventional vehicle, power is dissipated due to friction. To reduce the loss of power due to friction MAGLEV train using a new technology called electro dynamic suspension (EDS) was developed by the Japanese. The magnetized coil running along the track called the guide way, repels the large magnets on the train's undercarriage, allowing the train to levitate between 1 to 10cm above the guideway.
The electric current supplied to the coils in the guideway walls is constantly alternating to change the polarity of the magentized coil. The hchange of the polarity causes the magnetic field in front of the train to pull the vehicle forward, while the magnetic field behind the train adds more forward thrust.
It works on the principle of Lenz's law. In this system a train moves without contact with track or it flots on a cushion of air, eliminating friction. In this system electromagnets are attached to the train and conducting coils on the track. When th etrain moves there is a change of flux in the conducting coil and due to induction the train is repelled by the track which lifts the train above the track.
It also has stability factor. If the train comes downward the repulsive force increases to restore its position and if it goes up, then repulsive force decreases to bring it down..
Due to induced circulating currents an opposing force acts on the train. A significant power is required to propel the train against the force at low speeds.

The advantge of EDS is that

A )	no force is required to overcome gravity

B )	no power is required to propel the train

C )	no energy is lost due to conservative force

D )	no power is dissipated against friction force

A )

B )

C )

D )

A )

B )

C )

D )

A )

B )

C )

D )

A )

B )

C )

D )

A )

B )

C )

D )

A )

B )

C )

D )

A )

B )

C )

D )

A )

B )

C )

D )

ABCD

ABD

ABCD

ABD

Final result and score
Q No	Ans	Correct Ans	Score	Q No	Ans	Correct Ans	Score
1	-		0	2	-		0
3	-		0	4	-		0
5	-		0	6	-		0
7	-		0	8	-		0
9	-		0	10	-		0
11	-		0	12	-		0
13	-		0	14	-		0
15	-		0	16	-		0
17	-		0	18	-		0
19	-		0	20	-		0
21	-		0	22	-		0
23	-		0	24	-		0
25	-		0	26	-		0
27	-		0	28	-		0
29	-		0	30	-		0
31	-		0	32	-		0
33	-		0	34	-		0
35	-		0	36	-		0
37	-		0	38	-		0
39	-		0	40	-		0
Final score : 0

Answer sheet
Q No	Ans	For review	Q No	Ans	For review
1			2
3			4
5			6
7			8
9			10
11			12
13			14
15			16
17			18
19			20
21			22
23			24
25			26
27			28
29			30
31			32
33			34
35			36
37			38
39			40