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Question: To make the frequency double of an oscillator, we have to...

To make the frequency double of an oscillator, we have to

A

Double the mass

B

Half the mass

C

Quadruple the mass

D

Reduce the mass to one-fourth

Answer

Reduce the mass to one-fourth

Explanation

Solution

ω=km⇒ω2ω1=m1m2⇒2=m1m2⇒m2=m14\omega = \sqrt{\frac{k}{m}} \Rightarrow \frac{\omega_{2}}{\omega_{1}} = \sqrt{\frac{m_{1}}{m_{2}}} \Rightarrow 2 = \sqrt{\frac{m_{1}}{m_{2}}} \Rightarrow m_{2} = \frac{m_{1}}{4}