Oscillations Test

Result

Oscillations Test - 12

Score
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Rank
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TIME Taken - -

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Weekly Quiz Competition

Question 1
4 / -1

A
3/5

B
25/9

C
16/9

D
5/3

Solution
Question 2
4 / -1

A simple pendulum is released from A, as shown in the figure. If m and l represent the mass of the bob and length of the pendulum, the gain kinetic energy at B is

A

B

C

D

Solution
Question 3
4 / -1

A mass of 2.0 kg is put on a flat pan attached to a vertical spring fixed on the ground as shown in the figure. The mass of the spring and the pan is negligible. When pressed slightly and released the mass executes a simple harmonic motion. The spring constant is 200 Nm^-1. What should be the minimum amplitude of the motion, so that the mass gets detached from the pan? (take, g = 10ms^-2)

A
8.0 cm

B
10.0 cm

C
Any value less than 12.0 cm

D
4.0 cm

Solution
Question 4
4 / -1

A uniform spring of force constant k is cut into two pieces whose lengths are in the ratio of 1:2. What is the force constant of second piece in terms of k?

A

B

C

D

Solution
Question 5
4 / -1

A girl swings on cradle in a sitting position. If she stands what happens to the time period of girl and cradle?

A
Time period decreases

B
Time period increases

C
Remains constant

D
First increases and then remains constant

Solution
Question 6
4 / -1

What is the velocity of the bob of a simple pendulum at its mean position, if it is able to rise to vertical height of 10 cm? (take, g = 9. 8 ms^-2)

A
2.2 ms^-1

B
1.8 ms^-1

C
1.4 ms^-1

D
0.6 ms^-1

Solution
Question 7
4 / -1

The pendulum bob has a speed of 3 ms^-1 at its lowest position. The pendulum is 0.5 m long. The speed of the bob, when the length makes an angle of 60° to the vertical will be (take, g =10 ms^-2)

A

B

C

D

Solution
Question 8
4 / -1

A
6/5

B
5/6

C
1

D
4/5

Solution
Question 9
4 / -1

A simple pendulum of length l and mass (bob) m is suspended vertically. The string makes an angle θ with the vertical. The restoring force acting on the pendulum is

A
mg tanθ

B
mg sinθ

C
–mg sinθ

D
–mg cosθ

Solution
Question 10
4 / -1

A point mass m is suspended at the end of a massless wire of length L and cross-section area A. If Y is the Young's modulus for the wire, then the frequency of oscillations for the SHM along the vertical line is

A

B

C

D

Solution