Oscillations Test

Result

Oscillations Test - 3

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Question 1
4 / -1

A particle is oscillating in SHM. What fraction of total energy is kinetic when the particle is at A /2 from the mean position? (A is the amplitude of oscillation)

A

B

C

D
3E

Solution
Question 2
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 position, the total energy is infmite
Question 3
4 / -1

In SHM restoring force is F = –k x, where k is force constant, x is displacement and A is amplitude of motion, then total energy depends upon

A
k , A and M

B
k , x and M

C
k and A

D
k and x

Solution
Question 4
4 / -1

The KE and PE of a particle executing SHM of amplitude a will be equal when displacement'is

A

B

C
2a

D

Solution
Question 5
4 / -1

When the amplitude of a body executing SHM become twice, what happens ?

A
Maximum potential energy is doubled

B
Maximum kinetic energy is doubled

C
Total energy is doubled

D
Maximum velocity is doubled

Solution
Question 6
4 / -1

A particle executes SHM with a period of 8 s and amplitude 4 cm. Its maximum speed in cms ^-1, is

A
π

B

C

D

Solution
Question 7
4 / -1

The displacement of a particle of mass 3 g executing simple harmonic motion is given by Y = 3sin (0.2t) in SI units. The KE of the particle at a point which is at a distance equal to 1/3 of its amplitude from its mean position is

A
12 × 10^-3 J

B
25 × 10^-3 J

C
0.48 × 10^-3 J

D
0.24 × 10^-3 J

Solution
Question 8
4 / -1

Consider the following statements The total energy of a particle executing simple harmonic motion depends on its
I. amplitude
II. period
III. displacement
of these statements

A
I and II are correct

B
II and III are correct

C
I and III are correct

D
I, II and III are correct

Solution
Question 9
4 / -1

A particle moves with simple harmonic motion in a straight line. In first t sec, after starting from rest it travels a distance a and in next τ sec, it travels 2a, in same direction, then

A
amplitude of motion is 3a

B
time period of oscillations is 8π

C
amplitude of motion is 4a

D
time period of oscillations is 6π

Solution
Question 10
4 / -1

For a damped harmonic oscillator of mass 250 g, the value of spring constant (k) and damping (b) are 85 Nm^-1, and 70 g s ^-1, respectively. What is the period of motion?

A
0.34 s

B
5.0 s

C
6.25 s

D
7.2 s

Solution