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BITSAT2018PhysicsOscillationsActual

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

Options

  1. Afirst increase and then decrease to the original value
  2. Bfirst decrease and then increase to the original value
  3. Cremain unchanged
  4. Dincrease towards a saturation value

Correct answer

A. first increase and then decrease to the original value

Step-by-step solution

The bob filled completely with water has its centre of mass at its centre. The time period of oscillation is T = 2 π l g As the water starts coming out of the bob, its centre of mass shifts vertically downward and as a result, effective length of the pendulum increases and hence its period also increases. When the bob is empty, again its centre of mass appears at its centre and as a result, the period of oscillation again reaches to its original value.

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