Question

A source produces 50 crests and 50 troughs in 0.5 seconds. Find the time period of the wave?

Answer 1

Time period is the time taken by a wave to pass through a point.
So
50 waves are produced in=0.5 s
1 wave is produced in=5/10X1/500
=5/500
=1/100=0.01 s

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Answer 2

The time period of the wave is 0.01 s

• Source produces 50 crests and 50 troughs.
• Hence, 50 waves are formed.

                    Frequency(n) = number of oscillations/sec

                                           = 50/0.5

                                           = 100 Hz

• Time period of the wave is given by

                   Time period(T) = 1/n

                                             = 1/100

                                             = 0.01 s