One end of a spring of force constant k is fixed to a vertical wall and the other to a…

Physics · JEE Advanced · NTA ExamsOscillations and Waves

One end of a spring of force constant k is fixed to a vertical wall and the other to a body of mass m resting on a smooth horizontal surface. There is another wall at a distance x0 from the body. The spring is then compressed by 3x0 and released. The time taken to strike the wall from the instant of release is
 (given sin–1(1/3) = (π/9))
  Logo Description automatically generated with medium confidence
  1. \(\frac{\pi}{6} \sqrt{\frac{m}{k}}\)
  2. \(\frac{2 \pi}{3} \sqrt{\frac{m}{k}}\)
  3. \(\frac{\pi}{4} \sqrt{\frac{m}{k}}\)
  4. \(\frac{11 \pi}{18} \sqrt{\frac{m}{k}}\)

Answer

(D) 11 18 m k

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