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This mock test of Test: Simple Harmonic Motion for Class 11 helps you for every Class 11 entrance exam.
This contains 10 Multiple Choice Questions for Class 11 Test: Simple Harmonic Motion (mcq) to study with solutions a complete question bank.
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QUESTION: 1

The velocity of a particle moving with simple harmonic motion is . . . . at the mean position.

Solution:

QUESTION: 2

In the equation , the amplitude is equal to

Solution:

Compare the given equation from y=a sin(wt) . after comparing you get √2 at the place of a. where a denotes amplitude. so your answer is √2.

QUESTION: 3

A frequency of 1Hz corresponds to:

Solution:

Frequency is defined as time taken to perform one oscillation by the object, hence 1Hz corresponds to 1 vibration per sec.

QUESTION: 4

A second pendulum is mounted in a space shuttle. Its period of oscillations will decrease when rocket is

Solution:

Time Period, T = 2π ; where l = Length of seconds pendulum

g’= Apparent Gravity

=> For the period of oscillations of Seconds Pendulum to decrease, the Apparent gravity (g’) has to increase because-

Hence, Time Period of oscillations of Seconds Pendulum will decrease when the rocket is ascending up with uniform acceleration.

QUESTION: 5

A particle of mass 10 gm lies in a potential field v = 50 x^{2} + 100. The value of frequency of oscillations in Hz is

Solution:

QUESTION: 6

If a simple pendulum oscillates with an amplitude 50 mm and time period 2s, then its maximum velocity is

Solution:

We know that in a simple harmonic motion the maximum velocity, v_{max} = A⍵

Here A = 50 mm

And ⍵ = 2π / T

= 2π / 2

= π

Hence v_{max} = 50 x 10^{-3}.π

= 0.15 m/s

QUESTION: 7

In simple harmonic motion the displacement of a particle from its equilibrium position is given by . Here the phase of motion is

Solution:

QUESTION: 8

Find the amplitude of the S.H.M whose displacement y in cm is given by equation y= 3sin 157t +4cos157t where t is time in seconds.

Solution:

QUESTION: 9

What will be the phase difference between bigger pendulum (with time period 5T/4 )and smaller pendulum (with time period T) after one oscillation of bigger pendulum?

Solution:

After one oscillation of a bigger pendulum i.e. 5T/4, ¼ of the total phase is travelled by the smaller pendulum while the bigger is still at initial position. Thus the phase difference between two is ¼ (2π) - 0 = π/2

QUESTION: 10

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:

Solution:

The magnitudes of the velocity and acceleration of the particle when its displacement is 'y' are and ω^{2}y respectively.

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