MHT CET · Physics · Oscillations
A mass \(m\) is suspended from a spring of negligible mass. The spring is pulled a little and then released, so that mass executes S.H.M. of time period T . If the mass is increased by \(\mathrm{m}_0\), the periodic time becomes \(\frac{5 \mathrm{~T}}{4}\). The ratio \(\frac{\mathrm{m}_0}{\mathrm{M}}\) is
- A \(\frac{3}{4}\)
- B \(\frac{4}{3}\)
- C \(\frac{9}{16}\)
- D \(\frac{16}{9}\)
Answer & Solution
Correct Answer
(C) \(\frac{9}{16}\)
Step-by-step Solution
Detailed explanation
\( T = 2\pi\sqrt{\frac{m}{k}} \) \( \frac{5T}{4} = 2\pi\sqrt{\frac{m + m_0}{k}} \)
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