A source of wave produces 40 crests and 40 troughs in 0.4s. What is the frequency of the wave?
One crest and one trough constitute one cycle.
40 crests and 40 troughs involve 40 cycles.
Time taken for one cycle is called time period.
So, Time period = 0.4 s / (40) = 0.01 s
Frequency = 1 / Time period
Frequency = 1 / (0.01 s) = 100 Hz.