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MHT CET202311 May 2023Morning ShiftPhysicsLaws of MotionActual

The bob of a simple pendulum of length ' L ' has a mass ' m ' and charge ' q '. The pendulum is suspended between the plates of a charged parallel plate capacitor. The direction of electric field is shown in figure. The period of oscillations of the simple pendulum is (acceleration due to gravity g>q E / m )

Options

  1. A2 L g
  2. B2 [ L qE m - g ]^ 1 2
  3. C2 [ L g - qE m ]^ 1 2
  4. D2 [ L g + qE m ]^ 1 2

Correct answer

C. 2 [ L g - qE m ]^ 1 2

Step-by-step solution

Electric force, F _ electric = qE The effective force, aligned & mg _ eff = mg - F _ electric & g _ eff = g - qE m aligned The period of oscillation for a simple pendulum, T =2 L g Time period when pendulum is suspended between the plates, aligned & T =2 L g _ eff & T =2 [ L g - qE m ]^ 1 2 aligned

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