Question

Ripples are being generated by a vibrator on the surface of water. The distance between two consecutive crests is 3 cm. Ripples cover a distance of 25.2 cm in 1.2 sec. Calculate the wavelength , wave velocity and frequency of the generated waves.

Answer 1

The distance between two consecutive crests is 3 cm

=> wavelength (L) = 3cm
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Ripples cover a distance of 25.2 cm in 1.2 sec

=> wave velocity = distance/time = 25.2/1.2 = 21 cm/s
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velocity = frequency × wavelength

=> frequency = velocity / wavelength

=> frequency = 21/3 = 7 Hz

Thus,
wavelength = 3cm

frequency = 7 Hz

velocity = 21 m/s

Answer 2

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3 cm is the distance between two consecutive crests

3cm is the wavelength

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25.2 cm in 1.2 sec is the ripples covered distance

25.2/1.2 = 21 cm/s = wave velocity = distance/time.

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Formula:-

Velocity = frequency × wavelength

Frequency = velocity / wavelength

•°•Frequency = 21/3 = 7 Hz

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Hence,

• Wavelength = 3cm
• Frequency = 7 Hz
• Velocity = 21 m/s

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