An object of mass is suspended at the end massless|Sound

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JEE MAIN 2020

06.09.20_S2

Question

An object of mass m is suspended at the end of a massless wire of length L and area of cross-section, A. Young modulus of the material of the wire is Y. If the mass is pulled down slightly its frequency of oscillation along the vertical direction is

Select the correct option:

A

$\mathrm{f}=\frac{1}{2 \pi} \sqrt{\frac{\mathrm{~mL}}{\mathrm{YA}}}$

B

$\mathrm{f}=\frac{1}{2 \pi} \sqrt{\frac{\mathrm{YA}}{\mathrm{mL}}}$

C

$f=\frac{1}{2 \pi} \sqrt{\frac{Y L}{m A}}$

D

$f=\frac{1}{2 \pi} \sqrt{\frac{m A}{Y L}}$

✓ Correct! Well done.

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Solution

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Physics

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