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A body is oscillating $150$ times per minute. What is the time period of the body?

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1 \sec

0.4 \sec

0.6 \sec

2 \sec

answer is B.

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Detailed Solution

The time period of the body is

0.4 \sec

.
Frequency is the number of oscillations per seconds and the time period is the time taken to complete an oscillation.
Given:
Oscillation

= 150

Time

= 1 minute

= 1 \times 60 seconds

Frequency

= \frac{Oscillations}{time in seconds}

= \frac{150}{60}

= 2.5 Hz

We know the formula,

time period = 1 / frequency

= 1 / 2.5

= 0.4 \sec

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