Question

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

• A. 1.34 s
• B. 1.5 s
• C. 0.33 s
• D. 0.75 s
• E. 0.67 s

Hint:

Time Period = $\frac{\text{Total Time}}{\text{Total Hits}}$.

Answer 1

Answer: (E)

Step 1: Understanding the Concept:
This question asks for the time period of a repetitive event. The time period is the time taken for one complete cycle or event. It is the reciprocal of the frequency.
Step 2: Key Formula or Approach:
1. Frequency (f): The number of events per unit time. 2. Time Period (T): The time taken for one event. The relationship between them is: \[ T = \frac{1}{f} = \frac{\text{Total Time}}{\text{Number of Events}} \] Ensure all units are in the SI system (time in seconds). Step 3: Detailed Explanation:
We are given: - Number of hits (events) = 90 - Total time = 1 minute First, convert the total time to seconds: \[ \text{Total Time} = 1 \text{ minute} = 60 \text{ seconds} \] Now, use the formula for the time period: \[ T = \frac{\text{Total Time}}{\text{Number of Events}} = \frac{60 \text{ s}}{90} \] Simplify the fraction: \[ T = \frac{6}{9} = \frac{2}{3} \text{ s} \] To compare with the options, convert the fraction to a decimal: \[ T = \frac{2}{3} \approx 0.666... \text{ s} \] This is approximately 0.67 s. Step 4: Final Answer:
The time period of the hit is 0.67 s.