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AP EAMCET202120 Aug 2021Morning ShiftPhysicsOscillationsActual

The bob of a simple pendulum is a spherical hollow ball filled with water. A plugged hole near the bottom of the oscillating bob gets suddenly unplugged. During observation, till water is coming out, the time period of oscillation would:

Options

  1. Aremain unchanged
  2. Bincrease towards a saturation value
  3. Cfirst increase and then decrease to the original value.
  4. Dfirst decrease and then increase to the original value.

Correct answer

C. first increase and then decrease to the original value.

Step-by-step solution

The time period of the simple pendulum is, T = 2 π l g   Here, l   is the effective length of the pendulum up to centre of mass. When the hole at bottom of the hollow sphere (bob) filled with water is unplugged, the water will drain from the bob due to which the centre of mass will shift downward, therefore, the length of the pendulum will slightly increase, which will lead to increase in time period. After the water completely drained out the centre of mass again shift to its original position that

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