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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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