A particle is making simple|SIMPLE HARMONIC MOTION|JEE MAIN

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JEE MAIN 2021

20-07-21 S2

Question

A particle is making simple harmonic motion along the X -axis. If at a distances $\mathrm{X}_1$ and $\mathrm{X}_2$ from the mean position the velocities of the particle are $v_1$ and $v_2$ respectively. The time period of its oscillation is given as :

Select the correct option:

A

$\mathrm{T}=2 \pi \sqrt{\frac{\mathrm{x}_2^2+\mathrm{x}_1^2}{v_1^2-v_2^2}}$

B

$\mathrm{T}=2 \pi \sqrt{\frac{\mathrm{x}_2^2+\mathrm{x}_1^2}{v_1^2+v_2^2}}$

C

$\mathrm{T}=2 \pi \sqrt{\frac{\mathrm{x}_2^2-\mathrm{x}_1^2}{v_1^2+v_2^2}}$

D

$\mathrm{T}=2 \pi \sqrt{\frac{\mathrm{x}_2^2-\mathrm{x}_1^2}{v_1^2-v_2^2}}$

✓ Correct! Well done.

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Solution

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