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This mock test of Simple Harmonic Motion NAT Level - 1 for Physics helps you for every Physics entrance exam.
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*Answer can only contain numeric values

QUESTION: 1

A spring has a certain mass suspended from it and its period for vertical oscillation is T_{1}. The spring is now cut into two equal halves and the same mass is suspended from one of the half. The period of vertical oscillation is now T_{2}. The ratio of is :

Solution:

When spring is cut in equal part, then force constant is

The correct answer is: 0.707

*Answer can only contain numeric values

QUESTION: 2

For a simple harmonic vibrator of frequency n, the frequency of kinetic energy changing completely to potential energy is αn. Find the value of α.

Solution:

2n

The correct answer is: 2

*Answer can only contain numeric values

QUESTION: 3

The total energy of the body executing S.H.M is E. Then the kinetic energy when the displacement is half of the amplitude is αE Find the value of α.

Solution:

Kinetic energy

Kinetic energy

The correct answer is: 0.75

*Answer can only contain numeric values

QUESTION: 4

The amplitude of a damped harmonic oscillator become halved in 1 minute. After three minutes the amplitude will become 1/x of initial amplitude where x is :

Solution:

The variation in amplitude of a damped harmonic oscillation with time is given by

initial amplitude,

damped factor

It is given that after 1 minutes

The correct answer is: 8

*Answer can only contain numeric values

QUESTION: 5

One body of mass m is suspended from three springs as shown in figure each spring has spring constant k. If mass m is displaced slightly then time period of oscillation is Find the value of α.

Solution:

Using series and parallel combination of spring

The correct answer is: 1.5

*Answer can only contain numeric values

QUESTION: 6

A particle is executing SHM with an amplitude 4 cm. The displacement (in cm) at which its energy it half kinetic and half potential is :

Solution:

Potential energy = Kinetic energy

The correct answer is: 2.828

*Answer can only contain numeric values

QUESTION: 7

A particle executing S.H.M of amplitude 4 cm and 7 = 4 sec. The time taken (in sec) by it to move from positive extreme position to half the amplitude is :

Solution:

The correct answer is: 0.667

*Answer can only contain numeric values

QUESTION: 8

The potential energy of a particle executing S.H.M. is 2.5 J when its displacement is half of amplitude. The total energy (in Joule) of the particle is :

Solution:

Total energy

Potential energy

So total energy

The correct answer is: 10

*Answer can only contain numeric values

QUESTION: 9

If the time period of oscillation of mass M suspended from a spring is one second, then the time period (in sec) of 4M will be :

Solution:

The correct answer is: 2

*Answer can only contain numeric values

QUESTION: 10

A linear harmonic oscillation of force constant 2 x 10^{6} Nlm and amplitude 0.01 m has a total mechanical energy of 160 joules. Its maximum K.E. (in Joule) will be.

Solution:

Maximum kinetic energy is 100 J

Maximum kinetic energy

The correct answer is: 100

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