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JEE Main 202117 MarchEvening Shift

Exam: JEE Main
Year: 2021
Date: 17 March
Shift: Evening Shift
Subject: Physics
Chapter: Oscillations

JEE Main 2021 · 17 March · Evening Shift · Physics · Oscillations

Two particles A and B of equal masses are suspended from two...

Two particles

A

and

B

of equal masses are suspended from two massless springs of spring constants

{K}_{1}

and

{K}_{2}

respectively.If the maximum velocities during oscillations are equal, the ratio of the amplitude of

A

and

B

is

Options

A $\dfrac{{K}_{2}}{{K}_{1}}$
B $\dfrac{{K}_{1}}{{K}_{2}}$
C $\sqrt{\dfrac{{K}_{1}}{{K}_{2}}}$
D $\sqrt{\dfrac{{K}_{2}}{{K}_{1}}}$

Correct answer

D. $\sqrt{\dfrac{{K}_{2}}{{K}_{1}}}$

Step-by-step solution

${A}_{1}{\omega}_{1} = {A}_{2}{\omega}_{2}$

${A}_{1}\sqrt{\dfrac{{k}_{1}}{m}} = {A}_{2}\sqrt{\dfrac{{k}_{2}}{m}}$

$\dfrac{{A}_{1}}{{A}_{2}} = \sqrt{\dfrac{{k}_{2}}{{k}_{1}}}$

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