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MHT CET 2020 (16 Oct, Shift 2) · Spring Systems

Spring Systems question from MHT CET 2020 (16 Oct, Shift 2)

Q78MHT CET 2020 · 16 OCT · SHIFT 2Easy

Spring Systems

A block of mass mm attached to one end of the vertical spring produces extension xx. If the block is pulled and released, the periodic time of oscillation is

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Answer: (d)

  1. At equilibrium kx=mgkx = mg, so mk=xg\frac{m}{k} = \frac{x}{g}.
  2. T=2πmk=2πxgT = 2\pi\sqrt{\frac{m}{k}} = 2\pi\sqrt{\frac{x}{g}}
  3. So the answer is (d) 2πxg2\pi\sqrt{\frac{x}{g}}.
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