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Chapter 5: Problem 13

If the time period of a simple pendulum is 10 seconds, then its frequency is \(\mathrm{Hz} .\) (1) 10 (2) 5 (3) \(0.1\) (4) 1

Short Answer

Expert verified
Options: 1) 0.01 Hz 2) 0.05 Hz 3) 0.1 Hz 4) 1 Hz Answer: 3) 0.1 Hz

Step by step solution

01

Identify the formula for frequency

To find the frequency of a simple pendulum, we need to use the formula: frequency = 1 / time period.
02

Substitute the given value into the formula

We are given the time period as 10 seconds. Now, we will substitute this value into the formula for frequency: frequency = 1 / 10 seconds.
03

Calculate the frequency

Now, let's calculate the frequency: frequency = 1 / 10 = 0.1 Hz.
04

Compare the result with the options provided

The calculated frequency is 0.1 Hz, which matches with option (3). Therefore, the correct answer is option (3) 0.1 Hz.

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