A mass m is suspended from a spring of force constant k and just touches another…

Physics · JEE Advanced · NTA ExamsOscillations and Waves

A mass m is suspended from a spring of force constant k and just touches another identical spring fixed to the floor as shown in the figure. The time period of small oscillations is
  \[000000000000\]
  1. \(2 \pi \sqrt{\frac{m}{k}}\)
  2. \(\pi \sqrt{\frac{m}{k}}+\pi \sqrt{\frac{m}{k / 2}}\)
  3. \(x_{\sqrt{ }} \frac{m}{3 k / 2}\)
  4. \(\pi \sqrt{\frac{m}{k}}+\pi \sqrt{\frac{m}{2 k}}\)

Answer

(D) m k + m 2 k

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