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JEE Main202523 Jan 2025Morning ShiftPhysicsOscillationsActual

A light hollow cube of side length 10 cm and mass 10 g , is floating in water. It is pushed down and released to execute simple harmonic oscillations. The time period of oscillations is y 10⁻² ~s , where the value of y is (Acceleration due to gravity, g=10 ~m / s ^2 , density of water =10^3 ~kg / m ^3 )

Options

  1. A6
  2. B2
  3. C4
  4. D1

Correct answer

B. 2

Step-by-step solution

Additional buoyant force aligned & g a^2 x= a^3 A & A= g a x & T=2 a g aligned Now, = 10 10⁻³ 10⁻³ =10 aligned T & =2 10 0.1 10^3 10 & =2 10⁻² aligned

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