Oscillations Test

Result

Oscillations Test - 54

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Weekly Quiz Competition

Question 1
4 / -1

A 2kg block is connected with two springs of force constant k₁ = 100 N/m and k₂ = 300 N/m, as shown in Fig. The block is released from rest with he springs unstretched. The acceleration of the block in its lowest position is (g = 10 m/s²)

A
Zero

B
5 m/s² upwards

C
10 m/s² downwards

D
10 m/s² upwards

Solution
Question 2
4 / -1

A mass m on the end of light spring of force constant k stretches the spring to a length l when at rest Fig. (a). The mass is now set into motion so it executes up and down vibrations while swinging back and forth as a pendulum. The mass moves in a figure – eight pattern in a vertical plane as shown in the Fig.(b). The force constant in terms

A

B

C

D

Solution
Question 3
4 / -1

A uniform ring of radius π is suspended from its one point on the circumference about which it can rotate freely. If this ring is rotated slightly and then released, its time period of oscillation

A

B

C

D

Solution
Question 4
4 / -1

Two simple pendulums having lengths 144 cm and 121 cm starts executing oscillations. At some time, both bobs of the pendulum are at the equilibrium positions and in same phase. After how many oscillations of the shorter pendulum will both the bob’s pass through the equilibrium position and will have same phase ?

A
11

B
12

C
21

D
20

Solution
Question 5
4 / -1

A small spherical steel ball is placed at a distance slightly away from the center of a concave mirror having radius of curvature 250 cm. If the ball is released, it will now move on the curved surface. What will be the periodic time of this motion? Ignore frictional force and take g = 10 m/s².

A

B

C

D

Solution
Question 6
4 / -1

Two identical springs are attached at the opposite ends of a rod having length l and mass m. The rod could rotate about its mid-point O as shown in figure. Now, if the point A of the rod is pressed slightly and released, the rod starts executing oscillatory motion. The periodic time of this motion is .........

A

B

C

D

Solution
Question 7
4 / -1

A simple pendulum having length l is suspended at the roof of a train moving with constant acceleration ‘a’ along horizontal direction. The periodic time of this pendulum is....

A

B

C

D

Solution
Question 8
4 / -1

A

B

C

D

Solution
Question 9
4 / -1

One end of a massless spring having force constant k and length 50 cm is attached at the upper end of a plane inclined at an angle è = 300 .When a body of mass m = 1.5 kg is attached at the lower end of the spring, the length of the spring increases by 2.5 cm. Now, if the mass is displaced by a small amount and released, the amplitude of the resultant oscillation is

A

B

C

D

Solution
Question 10
4 / -1

Two blocks A and B are attached to the two ends of a spring having length L and force constant k on a horizontal surface. Initially the system is in equilibrium. Now a third block having same mass m, moving with velocity v collides with block A. In this situation.........

A
During maximum contraction of the spring, the kinetic energy of the system A–B will be zero

B
During maximum contraction of the spring, the kinetic energy of the system A–B will be mv²/4

C

D

Solution