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BITSAT 2018
Exam
BITSAT
Year
2018
Subject
Physics
Chapter
Oscillations

BITSAT 2018 · Physics · Oscillations

The bob of simple pendulum is a spherical hollow ball filled with...

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=2πlgT = 2\pi\sqrt{\dfrac{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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