Question

time period of wave of frequency 100 hz

Answer 1

The formula for time is: T (period) = 1 / f (frequency). λ = c / f = wave speed c (m/s) / frequency f (Hz). The unit hertz (Hz) was once called cps = cycles persecond.

Answer 2

Given :

Frequency 'f' of the wave = 100Hz

To find :

Time period 'T' of the wave.

Solution :

• The frequency of the wave 'f' = The total number of waves that travels through a particular point in 1 second.
• The time period of the wave 'T' =  The total time taken by the wave to complete 1 oscillation.

• When 'T' is the time period in seconds;

       Number of oscillations in T seconds = 1

         ∴ Number of oscillations in 1 second = 1/T

         But we know the number of vibrations in 1 second is frequency.

        ∴  f = 1 / T

            ⇒ T = 1 / f = 1 / 100Hz

            ⇒ T = 0.01 s

The time period of a wave of frequency 100Hz is 0.01s