Select the correct alternative(s) : A simple pendulum of length l and mass (bob) m is oscillating in a plane about a vertical line between angular limits - ϕ to + ϕ . For an angular displacement θ (where θ < ϕ ), the tension in the string and the velocity of the bob are T and v respectively. The following relations hold good under the above conditions:

The magnitude of tangential acceleration = g sin θ

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

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Important Questions on Simple Harmonic Motion

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11th ICSE

IMPORTANT

ISC Physics Class XI Part 1>Chapter 26 - Simple Harmonic Motion>FOR DIFFERENT COMPETITIVE EXAMINATIONS>Q 43

A metal rod of length $L$ and mass $m$ is pivoted at one end. A thin disc of mass $M$ and radius $R < L$ is attached at its centre to the free end of the rod. Consider two ways the disc is attached:
(case A) The disc is not free to rotate about its centre and

(case B) the disc is free to rotate about its centre. The rod-disc system performs SHM in vertical plane after being released from the same displaced position. Which of the following statement(s) is/are true?
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11th ICSE

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ISC Physics Class XI Part 1>Chapter 26 - Simple Harmonic Motion>FOR DIFFERENT COMPETITIVE EXAMINATIONS>Q 44

Select the correct alternative(s) :
A simple pendulum of length

l

and mass (bob)

m

is oscillating in a plane about a vertical line between angular limits

- ϕ

+ ϕ

. For an angular displacement

θ

(where

θ < ϕ

), the tension in the string and the velocity of the bob are

T

and

v

respectively. The following relations hold good under the above conditions:

HARD

11th ICSE

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ISC Physics Class XI Part 1>Chapter 26 - Simple Harmonic Motion>FOR DIFFERENT COMPETITIVE EXAMINATIONS>Q 45

The bob of a simple pendulum is of brass and its time-period is

T

. The bob is immersed in a non- viscous liquid and made to oscillate. If the density of the liquid is

\frac{1}{8} th

of that of brass, then the time-period of the pendulum will be

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11th ICSE

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ISC Physics Class XI Part 1>Chapter 26 - Simple Harmonic Motion>FOR DIFFERENT COMPETITIVE EXAMINATIONS>Q 46

In a stationary lift, the time-period of a simple pendulum is measured

T

. If the lift is going upwards with an acceleration

\frac{g}{3}

, then the time-period of the simple pendulum will be:

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ISC Physics Class XI Part 1>Chapter 26 - Simple Harmonic Motion>FOR DIFFERENT COMPETITIVE EXAMINATIONS>Q 47

A simple pendulum has a time-period

T

. When its point of suspension is moved vertically upwards according to the equation:

y = {kt}^{2}

, where

y

is vertical distance covered and

k = 1 {ms}^{- 2}

, its time-period becomes

T_{2}

.Then,

\frac{{(T_{2})}^{2}}{{(T_{1})}^{2}}

is equal to (Take:

g = 10 {ms}^{- 2}

)

EASY

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ISC Physics Class XI Part 1>Chapter 26 - Simple Harmonic Motion>FOR DIFFERENT COMPETITIVE EXAMINATIONS>Q 48

Which of the following statements is not correct? The time-period of a simple pendulum of small amplitude:

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ISC Physics Class XI Part 1>Chapter 26 - Simple Harmonic Motion>FOR DIFFERENT COMPETITIVE EXAMINATIONS>Q 49

Two particles are executing simple harmonic motion of the same amplitude

A

and frequency

ω

along the X-axis. Their mean position is separated by distance

X_{0} (X_{0} > A)

. If the maximum separation between them is

X_{0} + A

, the phase difference between their motions is:

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11th ICSE

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ISC Physics Class XI Part 1>Chapter 26 - Simple Harmonic Motion>FOR DIFFERENT COMPETITIVE EXAMINATIONS>Q 50

The time-period of a pendulum suspended from the ceiling of a stationary train is

T

. When the train starts moving with an acceleration

a

, then, the time-period of pendulum:

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

Important Questions on Simple Harmonic Motion

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