Oscillations Test

Result

Oscillations Test - 29

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Weekly Quiz Competition

Question 1
4 / -1

A particle executing simple harmonic motion with amplitude of 0.1 m. At a certain instant when its displacement is 0.02 m, its acceleration is 0.5 m/s². The maximum velocity of the particle is (in m/s)

A
0.01

B
0.05

C
0.5

D
0.25

Solution
Question 2
4 / -1

A

B

C

D

Solution
Question 3
4 / -1

A particle executes linear simple harmonic motion with an amplitude of 2 cm. When the particle is at 1 cm from the mean position the magnitude of its velocity is equal to that of its acceleration. Then, its time period in seconds is

A

B

C

D

Solution
Question 4
4 / -1

In simple harmonic motion, the ratio of acceleration of the particle to its displacement at any time is a measure of

A
Spring constant

B
Angular frequency

C
(Angular frequency)²

D
Restoring force

Solution
Question 5
4 / -1

The maximum velocity and the maximum acceleration of a body moving in a simple harmonic oscillator are 2 m/s and 4 m/s². Then angular velocity will be

A
3 rad/s

B
0.5 rad/s

C
1 rad/s

D
2 rad/s

Solution
Question 6
4 / -1

A
–3.0 m, 100 m/s²

B
+2.54 m, 200 m/s²

C
–3.54 m, 140 m/s²

D
+ 3.55 m, 120 m/s²

Solution
Question 7
4 / -1

If a simple pendulum has significant amplitude (up to a factor or 1/e of original) only in the period between t = 0s to t = τs, then τ may be called the average life of the pendulum. When the spherical bob of the pendulum suffers a retardation (due to viscous drag) proportional to its velocity, with \'b\' as the constant of proportionality, the average life time of the pendulum is (assuming damping is small) in seconds

A

B
b

C

D

Solution
Question 8
4 / -1

A particle is vibrating in a simple harmonic motion with an amplitude of 4 cm. At what displacement from the equilibrium position, is its energy half potential and half kinetic

A
1 cm

B
√2 cm

C
3 cm

D
2√2 cm

Solution
Question 9
4 / -1

If a body is executing simple harmonic motion, then

A
At extreme positions, the total energy is zero

B
At equilibrium position, the total energy is in the form of potential energy

C
At equilibrium position, the total energy is in the form of kinetic energy

D
At extreme positions, the total energy is infinite
Question 10
4 / -1

The potential energy of a particle with displacement X is U(X). The motion is simple harmonic, when (K is a positive constant)

A

B

C

D

Solution