Question

What is the period of a wave with a frequency of 100 Hz and a wavelength of

2.0 m?
O A. 200 S
O B. 0.02 s
O C. 50 s
OD. 0.01 s

Answer 1

The period of a wave with frequency of 100 Hz and a wavelength of 2 m is 0.01 s.

Answer: Option D

Step-by-step explanation:

A wave period is defined as the time taken to complete a single cycle or oscillation. In other terms, the time taken to complete a single crest and trough is termed as wave period. Generally, wave period is found in terms of frequency as both are inversely proportional to each other.

Wave period is inversely proportional to frequency. Wave period can also be determined in terms of wavelength as the ratio of wavelength with velocity. But as the velocity is not given here. We need to find the wave period in terms of frequency only.

`T = (1)/(f)`

Here, T is the time period and f is the frequency in Hertz.

So, the time period is
`T = (1)/(100) =0.01 s`

Thus, 0.01 s is the period of a wave with frequency 100 Hz.