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A particle is moving in a straight line with S.H.M. of amplitude $a$ . At a distance s from the mean position of motion, the particle receives a blow in the direction opposite to that of motion, which instantaneously reduces the velocity to half the initial value. Find the new amplitude.

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Important Questions on Oscillations

EASY

MHT-CET

IMPORTANT

MHT-CET TRIUMPH Physics Multiple Choice Questions Part - 1 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 12 - Oscillations>Critical Thinking>Q 14

A particle is performing linear SHM. If the acceleration and corresponding velocity of the particle are

α

and

v

respectively and if we plot

v^{2}

Y

axis and

α^{2}

X

axis, then the graph will be:

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MHT-CET TRIUMPH Physics Multiple Choice Questions Part - 1 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 12 - Oscillations>Critical Thinking>Q 15

A body of mass $36 g$ moves with S.H.M. of amplitude $A = 13 cm$ and time period $T = 12 s .$ At time $t = 0,$ the displacement $x$ is $+ 13$ . The shortest time of passage from $x = + 6.5 cm$ to $x = - 6.5 cm$ is

EASY

MHT-CET

IMPORTANT

MHT-CET TRIUMPH Physics Multiple Choice Questions Part - 1 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 12 - Oscillations>Critical Thinking>Q 16

The displacement of a particle executing S.H.M. is

x = 5 \sin (20 πt) .

Then its frequency will be

EASY

MHT-CET

IMPORTANT

MHT-CET TRIUMPH Physics Multiple Choice Questions Part - 1 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 12 - Oscillations>Critical Thinking>Q 17

A body oscillates with simple harmonic motion according to the equation,

x = 6 \cos 3 (π t + \frac{π}{9}) .

The differential equation represented by the equation is

MEDIUM

MHT-CET

IMPORTANT

MHT-CET TRIUMPH Physics Multiple Choice Questions Part - 1 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 12 - Oscillations>Critical Thinking>Q 18

A

Particle performs S.H.M. with amplitude

5 m,

period

0.02 s

and

x = 2.5 m

t = 0 .

Which is the correct equation?

HARD

MHT-CET

IMPORTANT

MHT-CET TRIUMPH Physics Multiple Choice Questions Part - 1 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 12 - Oscillations>Critical Thinking>Q 19

A particle moves with simple harmonic motion in a straight line. In first

τ

s

, after starting from rest, it travels a distance

a

, and in next

τ s

, it travels

2 a

in same direction, then:

MEDIUM

MHT-CET

IMPORTANT

MHT-CET TRIUMPH Physics Multiple Choice Questions Part - 1 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 12 - Oscillations>Critical Thinking>Q 20

The graph in the figure shows how the displacement of a particle describing S.H.M. varies with time. Which one of the following statements is not true?

Question Image

EASY

MHT-CET

IMPORTANT

MHT-CET TRIUMPH Physics Multiple Choice Questions Part - 1 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 12 - Oscillations>Critical Thinking>Q 21

A simple harmonic motion is given by the equation

x = 10 \cos 10 π t .

The phase of S.H.M. after time

2 s

A particle is moving in a straight line with S.H.M. of amplitude a. At a distance s from the mean position of motion, the particle receives a blow in the direction opposite to that of motion, which instantaneously reduces the velocity to half the initial value. Find the new amplitude.

Important Questions on Oscillations

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A particle is moving in a straight line with S.H.M. of amplitude $a$ . At a distance s from the mean position of motion, the particle receives a blow in the direction opposite to that of motion, which instantaneously reduces the velocity to half the initial value. Find the new amplitude.