Physics Test

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Physics Test - 8

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Weekly Quiz Competition

Question 1
1 / -0

Two batteries of different emfs and different internal resistances are connected as shown. The voltage across AB in volts is

A

7

B

6

C

5

D

8
Question 2
1 / -0

Four solid spheres each of diameter √5 cm and mass 0.5 kg are placed with their centers at the corners of a square of side 4 cm. The moment of inertia of the system about the diagonal of the square is N × 10^−4 kgm^2 , then N is

A

6

B

8

C

7

D

9
Question 3
1 / -0

A point mass of 1 kg collides elastically with a stationary point mass of 5 kg. After their collision, the 1 kg mass reverses its direction and moves with a speed of 2 ms^−1. Which of the following statement(s) is (are) correct for the system of these two masses?

A

Total momentum of the system is 3 kg ms^−1

B

Momentum of 5 kg mass after collision is 4 kg ms^−1

C

Total kinetic energy of the system is 4J

D

None of these
Question 4
1 / -0

A thin ring of mass 2 kg and radius 0.5 m is rolling without on a horizontal plane with velocity 1 m/s. A small ball of mass 0.1 kg, moving with velocity 20 m/s in the opposite directionhits the ring at a height of 0.75 m and goes vertically up with velocity 10 m/s. Immediately after the collision

A

friction between the ring and the ground is to the left.

B

there is no friction between the ring and the ground.

C

the ring comes to a complete stop.

D

the ring has pure rotation about its stationary CM.
Question 5
1 / -0

A thin flexible wire of length L is connected to two adjacent fixed points and carries a current I in the clockwise direction, as shown in the figure. When the system is put in a uniform magnetic field of strength B going into the plane of the paper, the wire takes the shape of a circle. The tension in the wire is

A

IBL/2π

B

IBL

C

IBL/π

D

IBL/4π
Question 6
1 / -0

A ray OP of monochromatic light is incident on the face AB of prism ABCD near vertex B at an incident angle of 60° (see figure). If the refractive index of the material of the prism is 3 , which of the following is (are) correct?

A

The angle between the incident ray and the emergent ray is 90°

B

The ray gets totally internally reflected at face CD

C

The ray comes out through face AD

D

All of these
Question 7
1 / -0

The wavelength of the first spectral line in the Balmer series of hydrogen atom is 6561 Ǻ. The wavelength of the second spectral line in the Balmer series of singly-ionized helium atom is

A

1215 Ǻ

B

2430 Ǻ

C

1640 Ǻ

D

4687 Ǻ
Question 8
1 / -0

A student uses a simple pendulum of exactly 1m length to determine g, the acceleration due to gravity. He uses a stop watch with the least count of 1 sec for this and records 40 seconds for 20 oscillations. For this observation, which of the following statement(s) is (are) true?

A

Error ∆T in measuring T, the time period, is 1 second

B

Error ∆T in measuring T, the time period, is 0.05 seconds

C

Percentage error in the determination of g is 2.5%

D

None of these
Question 9
1 / -0

When a particle of mass m moves on the x-axis in a potential of the form V(x) = kx^2 it performs simple harmonic motion. The corresponding time period is proportional to √(m/k) , as can be seen easily using dimensional analysis. However, the motion of a particle can be periodic even when its potential energy increases on both sides of x = 0 in a way differentfrom kx^2 and its total energy is such that the particle does not escape to infinity. Consider a particle of mass m moving on the x-axis. Its potential energy is V(x) = αx^4 (α > 0) for |x|near the origin and becomes a constant equal to V0 for |x| ≥ X0 (see figure). Que : For periodic motion of small amplitude A, the time period T of this particle is proportional to

A

1/A √(α/m)

B

A √(m/α)

C

A √(α/m)

D

1/A √(m/α)
Question 10
1 / -0

Gravitational acceleration on the surface of a planet is √6/11 g, where g is the gravitational acceleration on the surface of the earth. The average mass density of the planet is 2/3 times that of the earth. If the escape speed on the surface of the earth is taken to be 11 kms^-1, the escape speed on the surface of the planet in kms^-1 will be

A

3

B

4

C

5

D

6