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MHT CET202311 May 2023Evening ShiftPhysicsOscillationsActual

A rectangular block of mass ' m ' and crosssectional area A, floats on a liquid of density ' '. It is given a small vertical displacement from equilibrium, it starts oscillating with frequency ' n ' equal to ( g= acceleration 'due to gravity)

Options

  1. A1 2 A g m
  2. B2 A g m
  3. C1 2 m A g
  4. D2 m A g

Correct answer

A. 1 2 A g m

Step-by-step solution

The formula for the time period is given as T =2 l ~g The mass of displaced fluid is Mass = density volume m = Al At equilibrium, Weight of the block = Weight of the displaced liquid aligned & mg = A / pg & l= m Ap aligned Substituting the values in the equation aligned & T =2 l ~g & ~T =2 m A g aligned The frequency f= 1 T f = 1 2 Apg m

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