Laws of Motion Test

Result

Laws of Motion Test - 62

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Question 1
4 / -1

One day on a spacecraft corresponds to 2 days on the earth. The speed of the spacecraft relative to the earth is

A
1.5 × 10⁸ms^–1

B
2.1 × 10⁸ms^–1

C
2.6 × 10⁸ms^–1

D
5.2 × 10⁸ms^–1

Solution
Question 2
4 / -1

A flat plate moves normally with a speed v₁ towards a horizontal jet of water of uniform area of cross-section. The jet discharges water at the rate of volume V per second at a speed of v₂. The density of water is ρ. Assume that water splashes along the surface of the plate at right angles to the original motion. The magnitude of the force acting on the plate due to the jet of water is

A

B

C

D

Solution
Question 3
4 / -1

Two particles of mass m each are tied at the ends of a light string of length 2a. The whole system is kept on a frictionless horizontal surface with the string held tight so that each mass is at distance \'a\' from the center P (As shown in the figure). Now, the mid-point of the string is pulled vertically upwards with a small but constant force F. As a result, the particles move towards each other on the surface. The magnitude of acceleration, when the separation between them becomes 2x, is

A

B

C

D

Solution
Question 4
4 / -1

A liquid in a beaker has temperature θ(t) at time t and θ₀ is temperature of surroundings, then according to Newton\'s law of cooling the correct graph betweenlog_e (θ–θ₀) and t is

A

B

C

D

Solution
Question 5
4 / -1

The force-time (F – t) curve of a particle executing linear motion is as shown in the figure. The momentum acquired by the particle in time interval from zero to 8 seconds will be

A
–2 N-s

B
+4 N-s

C
6 N-s

D
Zero
Question 6
4 / -1

Figure shows the displacement of a particle going along the X-axis as a function of time. The force acting on the particle is zero in the region

A
AB

B
BC

C
CD

D
DE
Question 7
4 / -1

A body of 2 kg has an initial speed 5 ms^–1. A force actson it for some time in the direction of motion. The force time graph is shown in figure. The final speed of the body

A
9.25 ms^–1

B
5 ms^–1

C
14.25 ms^–1

D
4.25 ms^–1

Solution
Question 8
4 / -1

Which of the following graph depicts spring constant k versus length l of the spring correctly?

A

B

C

D

Solution
Question 9
4 / -1

A particle of mass m moving with velocity u makes an elastic one dimensional collision with a stationary particle of mass m. They are in contact for a very short time T. Their force of interaction increases from zero to F₀ linearly in time T/2, and decreases linearly to zero infurther time T/2. The magnitude of F₀ is F

A
mu / T

B
2mu / T

C
mu / 2T

D
None of these

Solution
Question 10
4 / -1

A particle of mass m, initially at rest, is acted upon by a variable force F for a brief interval of time T. It begins to move with a velocity u after the force stops acting. F is shown in the graph as a function of time. The curve is a semicircle.

A

B

C

D

Solution