1.

To make the frequency double of a spring oscillator, we have to A) Reduce the mass to one fourth B) Quadruple the mass C) Double of mass D) Half of mass

Answer»

A) Reduce the mass to one fourth

Explanations:

The frequency of spring oscillator is

\(v=\frac{1}{2\pi}\sqrt\frac{k}{m}\)

\(\implies v\propto \sqrt\frac{1}{m}\)

Hence \(\frac {v_1}{v_2}=\sqrt\frac{m_2}{m_1}\)

or \(\frac{m_2}{m_1}=(\frac{v_1}{v_2})^2=(\frac{v}{2v})^2=\frac{1}{4}\)

\(m_2=\frac{m_1}{4}\)



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