Oscillations Test

Result

Oscillations Test - 30

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Question 1
4 / -1

A particle of mass 10 g is describing S.H.M. along a straight line with period of 2 s and amplitude of 10 cm. Its kinetic energy when it is at 5 cm from its equilibrium position is

A
37.57 π² ergs

B
3.757 π² ergs

C
375 π² ergs

D
0.375 π² ergs

Solution
Question 2
4 / -1

The P.E. of a particle executing S.H.M. at a distance x from its equilibrium position is

A

B

C

D
Zero
Question 3
4 / -1

A vertical mass-spring system executes simple harmonic oscillations with a period of 2 s. A quantity of this system which exhibits simple harmonic variation with a period of 1 s is

A
Velocity

B
Potential energy

C
Phase difference between acceleration and displacement

D
Difference between kinetic energy and potential energy
Question 4
4 / -1

For any S.H.M., amplitude is 6 cm. If instantaneous potential energy is half the total energy then distance of particle from its mean position is

A
3 cm

B
4.2 cm

C
5.8 cm

D
6 cm

Solution
Question 5
4 / -1

A body of mass 1 kg is executing simple harmonic motion. Its displacement y (cm) at t seconds is given by y = 6 sin (100t + π /4). Its maximum kinetic energy is

A
6 J

B
18 J

C
24 J

D
36 J

Solution
Question 6
4 / -1

A particle is executing simple harmonic motion with frequency f. The frequency at which its kinetic energy change into potential energy is

A
f/2

B
f

C
2f

D
4f

Solution
Question 7
4 / -1

The total energy of a particle executing S.H.M. is 80 J. What is the potential energy when the particle is at a distance of 3/4 of amplitude from the mean position

A
60 J

B
10 J

C
40 J

D
45 J

Solution
Question 8
4 / -1

In a simple harmonic oscillator, at the mean position

A
Kinetic energy is minimum, potential energy is maximum

B
Both kinetic and potential energies are maximum

C
Kinetic energy is maximum, potential energy is minimum

D
Both kinetic and potential energies are minimum
Question 9
4 / -1

When a mass M is attached to the spring of force constant k, then the spring stretches by l. If the mass oscillates with amplitude l, what will be maximum potential energy stored in the spring

A

B

C

D

Solution
Question 10
4 / -1

A body executes simple harmonic motion. The potential energy (P.E.), the kinetic energy (K.E.) and total energy (T.E.) are measured as a function of displacement x. Which of the following statements is true

A
P.E. is maximum when x = 0

B
K.E. is maximum when x = 0

C
T.E. is zero when x = 0

D
K.E. is maximum when x is maximum