Question

A wavelength of wave produced on the surface of water is 20cm. If the wave velocity is 24 meternper second. Calculate a) The number of wave produced in 1 sec b)The time required to produce 1 wave

Answer 1

Given wavelength(lamda)=20cm=0.2m

wave velocity(v)=24m/s

1)No.of waves produced in one second

in any wave frequency is equal to no.of waves

from the equation v=lamda*frequency

hence,f=v/lamda

f=24/0.2

=120

2)time=1/f

           =1/120

           =0.008

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Answer 2

(i) v=24

lambda=0.2

$v = lambda \times f$

$f = \frac{v}{lambda}$

$= \frac{24}{0.2} \\ = 120$

(ii)

$t = \frac{1}{f } \\ = \frac{1}{120 } \\ = 0.008 \\ = 8 \times {10}^{ - 3}$

Hope it will help you....