An object is moving to and fro between points P and Q with a constant speed of 10 m/s. If the points P and Q are 10 m apart, find the frequency of to and fro motion of the boy.

5 Hz

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0.5 Hz

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0.05 Hz

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50 Hz

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Solution

The correct option is B 0.5 Hz
Given: speed of the object, $v = 10 m / s$
Distance between points P and Q, $d = 10 m$

Time taken by the object to complete one round of to and fro motion is:
$T = \frac{2 d}{v}$
$T = \frac{2 \times 10 m}{10 m / s}$
$T = 2 s$

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

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