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AIIMS2000Physics-Oscillations

AIIMS 2000 Physics Simple Harmonic Motion MCQ Question

Type: MCQ-numerical-Medium-Class 11

A simple pendulum has a bob suspended by an inextensible thread of length metre from a point A of suspension. At the extreme position of oscillation, the thread is suddenly caught by a peg at a point B distant (1/4) m from A and the bob begins to oscillate in the new condition. The change in frequency of oscillation of the pendulum is approximately given by (g = 10 m/s²).

Question diagram
A

102 hertz\frac{\sqrt{10}}{2} \text{ hertz}

B

1410 hertz\frac{1}{4\sqrt{10}} \text{ hertz}

C

103 hertz\frac{\sqrt{10}}{3} \text{ hertz}

D

110 hertz\frac{1}{\sqrt{10}} \text{ hertz}

Correct Answer

Option B

Detailed Explanation

The frequency of a pendulum is inversely proportional to the square root of its length. When the length is effectively reduced by the peg, the frequency increases. Calculating the new frequency gives the correct answer.

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