Question

!
- The wavelength of waves produced on the surface of
water is 20 cm. If the wave velocity is 24 m s-
calculate : (i) the number of waves produced in one
second, and (ii) the time in which one wave is
produced.
Ans. (i) 120 s-1 (ii) 8.3 x 10-ºs​

Answer 1

Explanation:

ANSWER

In the question, the wavelength (λ) is given as 20 cm, that is, 0.20 m and the wave velocity, v is given as 24 m/s.

The frequency ν, velocity v and wavelength λ relation is given as:

ν=

λ

v.

Number of waves produced in one second is called as frequency, i.e. ν=

λ

v

=ν=

0.20

24

=120 waves per second.

Time period of a wave is given as the inverse of frequency.

That is, T=

ν

1

=

120

1

=8.33×10

−3seconds

Hence, the time period of the wave is given as 8.33×10

−3

seconds.