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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.


Options:
A .   3 Hz
B .   11 Hz
C .   2 Hz
D .   5 Hz
Answer: Option C
:
C
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=2dv
T=2×5 m20 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=1T
f=10.5 s
f=2 Hz

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