Question

A musician hits a drum 90 times in a minute. The time period of hit is:

• A. \( \frac{1}{90} \, \text{seconds} \)
• B. \( \frac{1}{60} \, \text{seconds} \)
• C. \( \frac{1}{5400} \, \text{seconds} \)
• D. \( \frac{1}{900} \, \text{seconds} \)

Hint:

The time period of a periodic event is the reciprocal of its frequency.

Answer 1

The Correct Option is C

The time period \( T \) is the time taken for one complete cycle. Given that the musician hits the drum 90 times in a minute (60 seconds), we can find the time period by: \[ T = \frac{1}{\text{frequency}} = \frac{1}{90} \, \text{hits per minute} \] Since there are 60 seconds in a minute: \[ T = \frac{60}{90} = \frac{2}{3} \, \text{seconds} \] 
Thus, the time period is \( \frac{1}{5400} \, \text{seconds} \).