Question

A longitudinal wave travels at a speed of 0.3 m s-1 and the frequency of a wave is 20 Hz. Find the separation between the two consecutive compressions.

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Answer

Wave velocity (V)= 0.3 m s-1

frequency (f) = 20 Hz

wavelength (λ) = ?

As we know,

Wave velocity (V) = Frequency (f) × Wavelength (λ)

Substituting the values, we get,

0.3 = 20 × λ

⇒ λ = 0.3\over 20 = 1.5 × 10-2 m

Hence, the separation between the two consecutive compressions which is the wave length = 1.5 x 10-2 m ( or 1.5 cm)

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