A boy is running to and fro between points A and B with a constant speed of 20 m/s. If the points A and B are 5 m apart, find the frequency of to and fro motion of the boy.

3 Hz

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11 Hz

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2 Hz

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5 Hz

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Solution

The correct option is C 2 Hz
Given: speed of the boy, $v = 20 m / s$
Distance between points A and B, $d = 5 m$

Time taken by the boy to complete one round of to and fro motion is:
$T = \frac{2 d}{v}$
$T = \frac{2 \times 5 m}{20 m / s}$
$T = 0.5 s$

Thus, time period of to and fro motion of the boy is 0.5 s. Frequency is the inverse of time period.
$f = \frac{1}{T}$
$f = \frac{1}{0.5 s}$
$f = 2 H z$

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