Fill In The Blanks[1 Marks ]

Question 11 Mark

Maximum displacement of the oscillating particle on either side of its mean position is called its .

Answer

Maximum displacement of the oscillating particle on either side of its mean position is called its amplitude.

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Question 21 Mark

Total energy of particle executing S.H.M. is given $\text{E}=2\pi^2\text{mv}^2\text{A}^2$

Answer

Total energy of particle executing S.H.M. is given ________.

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Question 31 Mark

When the maximum K.E. of a simple pendulum is K, then its displacement is when kinetic energy is $\frac{\text{K}}{2}$ and amplitude is a.

Answer

When the maximum K.E. of a simple pendulum is K, then its displacement is $\frac{\text{a}}{\sqrt{2}}$ when kinetic energy is $\frac{\text{K}}{2}$ and amplitude is a.

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Question 41 Mark

The displacement y of a particle executing periodic motion is given by

$\text{y}=4\cos^2\Big(\frac{\text{t}}{2}\Big)\sin(1000\text{t})$

This expression may be considered to be a result of the superposition of _______ independent harmonics.

Answer

The displacement y of a particle executing periodic motion is given by

$\text{y}=4\cos^2\Big(\frac{\text{t}}{2}\Big)\sin(1000\text{t})$

This expression may be considered to be a result of the superposition of Three independent harmonics.

Explanation:

$\text{y}=4\cos^2\Big(\frac{\text{t}}{2}\Big)\sin1000\text{t}$

$=2(1+\cos\text{t})\sin1000\text{t}$ $(\because2\cos^2\theta=1+\cos2\theta)$

$=2\sin1000\text{t}+2\sin1000\text{t}\cos\text{t}$

$=2\sin1000\text{t}+\sin(1000+1)\text{t}\\+\sin(1000-1)\text{t}$ $[\because2\sin\text{A}\cos\text{B}=\sin(\text{A + B})+\sin(\text{A}-\text{B})]$

$=2\sin1000\text{t}+\sin1001\text{t}+\sin999\text{t}$

This shows that the given expression is the result of three independent harmonics.

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Question 51 Mark

Acceleration of a particle in simple harmonic motion is .

Answer

Acceleration of a particle in simple harmonic motion is $\text{a}=-\omega^2\text{x}.$

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Question 61 Mark

When body is oscillating under the influence of external periodic force with frequency equal to natural frequency of body, then amplitude become maximum this condition is known as .

Answer

When body is oscillating under the influence of external periodic force with frequency equal to natural frequency of body, then amplitude become maximum this condition is known as resonance.

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Question 71 Mark

Any motion that repeats itself over and over again at regular interval of time is called .

Answer

Any motion that repeats itself over and over again at regular interval of time is called harmonic motion.

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Question 81 Mark

A child swinging on a swing in sitting position stands up then the time period of the swing will _________.

Answer

A child swinging on a swing in sitting position stands up then the time period of the swing will Decrease.

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Question 91 Mark

Velocity of particle executing simple harmonic motion is maximum at mean position while at extreme position .

Answer

Velocity of particle executing simple harmonic motion is maximum at mean position $\text{v(t)}=-\omega\text{A}$ while at extreme position zero.

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Question 101 Mark

The ratio of frequencies of two pendulums are 2 : 3, then their lengths are in ratio of .

Answer

The ratio of frequencies of two pendulums are 2 : 3, then their lengths are in ratio of $\frac{9}{4}.$

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Question 111 Mark

Time period of simple pendulum executing simple harmonic motion is .

Answer

Time period of simple pendulum executing simple harmonic motion is $\text{T}=2\pi\sqrt{\frac{\text{l}}{\text{g}}}.$

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Question 121 Mark

If a spring has time period T and is cut into n equal parts then the time period of each part will be .

Answer

If a spring has time period T and is cut into n equal parts then the time period of each part will be $\frac{\text{T}}{\sqrt{\text{n}}}.$

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Question 131 Mark

State of particle regarding its position and direction of motion at any instant is known as .

Answer

State of particle regarding its position and direction of motion at any instant is known as phase.

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Question 141 Mark

Time period of a pendulum hanged in a satellite is .

Answer

Time period of a pendulum hanged in a satellite is zero.

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Question 151 Mark

A particle executes simple harmonic motion with a frequency f. The frequency with which its kinetic energy oscillates is .

Answer

A particle executes simple harmonic motion with a frequency f. The frequency with which its kinetic energy oscillates is 2f.

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Question 161 Mark

The oscillations in which the amplitude decreases gradually with passage of time are called .

Answer

The oscillations in which the amplitude decreases gradually with passage of time are called damped oscillations.

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Question 171 Mark

In body moves back and forth repeatedly about its mean position under influence of restoring force that act toward mean position and proportional to displacement.

Answer

In simple harmonic motion body moves back and forth repeatedly about its mean position under influence of restoring force that act toward mean position and proportional to displacement.

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Question 181 Mark

Time period of a body executing simple harmonic motion _______.

Answer

Time period of a body executing simple harmonic motion $\text{T}=2\pi\sqrt{\frac{\text{lnertia factor}}{\text{Spring factor}}}.$

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