A source of wave produces 20 crests and 20 troughs in 0.2 s. The distance between a crest and the next trough is 50 cm. Find the wavelength, frequency and time period of the wave.

A source of wave produces

20

crests and

20

troughs in

0.2 s .

The distance between a crest and the next trough is

50 cm

. The wavelength of the wave will be

λ = 1 m

, the frequency of the wave,

υ = 100 Hz

and the time period of the wave

T = 0.01 s

.
Since, the distance between a crest and next trough is

\frac{λ}{2}

.
Therefore,

\frac{λ}{2} = 50 cm

λ = 100 cm = 1 m

Distance covered in

20

seconds

= 20 \times 1

= 20 m

Velocity of the wave,

v = vλ

\Rightarrow υ = \frac{λ}{t}

\Rightarrow v \times 1 = \frac{20}{0.2}

[t = 0.2 s]

\Rightarrow v = 100 Hz

Time period,

T = \frac{1}{v}

\Rightarrow T = \frac{1}{100}

\Rightarrow T = 0.01 s

A source of wave produces $20$ crests and $20$ troughs in $0.2 s .$ The distance between a crest and the next trough is $50 cm$ . Find the wavelength, frequency and time period of the wave.