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Question

The angular frequency of a simple pendulum is ωrad/sec. Now, if the length is made one-fourth of the original length, the angular frequency becomes


A

ω2

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B

2ω

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C

4ω

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D

ω

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Solution

The correct option is B

2ω


Step 1: Given

Given, the angular frequency of a simple pendulum is ωrad/sec.

The reduced length of the pendulum is l4 where l is the initial length of the pendulum.

Step 2: Formula used

We know that, ω=gl, where ω is the angular frequency, g is the acceleration due to gravity and l is the length of the pendulum.

Step 3: Calculate the new frequency

Thus the new angular frequency of the pendulum will be,

ω0=gl4=4gl=2glω0=2ω

Hence, option B is correct.


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