In a ripple tank 12 ripples are produced in one second . If distance between crest and next trough is 10cm find :
a) wavelength
b) frequency
c) velocity of the wave.

Answer :

WAVELENGTH OF WAVE IS DISTANCE MOVED DURING ONE OSCILLATION.


Distance between crest and next trough is half of the wavelength. Therefore wavelength is λ = 2 × 10 cm= 20 cm .

 FREQUENCY = ν = NUMBER OF RIPPLES PER SEC = 12/SEC = 12 HZ .

Velocity of wave = ν ×λ = 12/sec × 0·2m  = 2·4 m/sec







=


Frequency = Number of ripples produced per second

That is,

Frequency, f = 10 Hz

The frequency of the wave is 10 Hz.

Wavelength, l = 2 × 12 cm = 24 cm = 0.24 m

The wavelength of the wave is 0.24 m.

Velocity of the wave = Frequency × wavelength

v = f × λ

= 10 × 0.24

= 2.4 m/s

The velocity of the wave is 2.4 m/s.

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