Oscillations Test

Result

Oscillations Test - 8

Score
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Rank
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TIME Taken - -

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Question 1
4 / -1

A

B

C

D

Solution
Question 2
4 / -1

A small block is connected to one end of a massless spring of unstretched length 4.9 m. The other end of the spring (see the figure) is fixed. The system lies on a horizontal frictionless surface. The block is stretched by 0.2 m and released from rest at t = O. Then, it executes simple harmonic motion with angular frequency ω=π⁄3 rad /s. Simultaneously at t = 0, a small pebble is projected with speed v from point P at an angle of 45° as shown in the figure. Point P is at a horizontal distance of 10 m from point 0. If the pebble hits the block at t = 1 s, the value of v is (take, g = 10 m/s²)

A
√50 m/s

B
√51 m/s

C
√52 m/s

D
√53 m/s

Solution
Question 3
4 / -1

For a body performing SHM, at a distance A ⁄ √2, then correct relation between KE and PE will be

A
KE is equal to PE

B
KE is 2 times of PE

C
KE is 3 times of PE

D
KE is half of PE

Solution
Question 4
4 / -1

The x-t graph of a particle undergoing simple harmonic motion is shown below. The acceleration of the particle at

A

B

C

D

Solution
Question 5
4 / -1

A particle of mass m is executing oscillations about the origin on the X-axis with amplitude A. Its potential energy U(x) = ax⁴, where a is positive constant. The x-coordinate of mass where potential energy is one-third of the kinetic energy of particle is

A

B

C

D

Solution
Question 6
4 / -1

A particle starts oscillating simple harmonically from its equilibrium position with time period T. The ratio of ICE and PE of other particle at t = T/12 is

A
1 : 4

B
2 : 1

C
3 : 1

D
4 : 1

Solution
Question 7
4 / -1

The average acceleration of a particle performing SHM over one complete oscillation is

A

B

C
zero

D
Question 8
4 / -1

U is the PE of an oscillating particle and F is the force acting on it at a given instant. Which of the following is correct?

A

B

C

D

Solution
Question 9
4 / -1

A
zero

B
0.5 cm

C
1 cm

D
1.5 cm

Solution
Question 10
4 / -1

A particle of amplitude A is executing simple harmonic motion. When the potential energy of particle is half of its maximum potential energy, then displacement from its equilibrium position is

A

B

C

D

Solution