A wave completes 75 cycles in 25 s. What is its period ?

f = 75/25 = 3Hz

period = 1/f = 3 seconds

To find the period of the wave, we can use the formula:

Period (T) = Total time (t) / Number of cycles (N)

The given information states that the wave completes 75 cycles in a total time of 25 seconds. Therefore, we can substitute these values in the formula:

T = 25 s / 75

To simplify the calculation, we can divide both the numerator and the denominator by 25:

T = 1 s / 3

Hence, the period of the wave is 1/3 second.

To find the period of a wave, we need to use the formula:

Period = Time / Number of Cycles

Given that the wave completes 75 cycles in 25 seconds, we can plug these values into the formula:

Period = 25 s / 75 cycles

Calculating this, we get:

Period = 0.3333... s

So, the period of the wave is approximately 0.333 seconds.