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If the time period of small ripples on the water is $0.1 s$ and their wavelength is $5 cm .$ Which of the following is the speed of the wave?

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0.8 m / \sec

0.5 m / \sec

0.1 m / \sec

0.6 m / \sec

answer is B.

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Detailed Solution

If the time period of small ripples on the water is

0.1 s

and their wavelength is

5 cm .

The speed of the wave is

0.5 m / \sec .

We know that,

Velocity = frequency \times wavelength

Frequency (n) = 1 / time period

\Rightarrow n = 1 / 0.1

\Rightarrow n = 10

Wavelength,

λ = 5 cm = 0.05 m

According to the formula

v = n \times λ

Therefore, speed of the wave

v = 10 \times 0.05

\Rightarrow v = 0.5 m / \sec

The speed of the wave is

0.5 m / \sec .

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