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A sound wave has frequency $1000 Hz$ and wavelength is $33 cm$ . Which of the following is the time taken by the wave to move through $1 km$ ?

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0.8 \sec

3.03 \sec

3.01 \sec

0.6 \sec

answer is B.

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Detailed Solution

A sound wave has frequency

1000 Hz

and wavelength is

33 cm

. The time taken by the wave to move through

1 km

3.03 \sec

.
We know that,

Velocity = frequency \times wavelength

Frequency (n) = 1000 Hz

Wavelength,

λ = 33 cm

= 0.33 m

Distance

= 1 km

= 1000 m

According to the formula

v = n \times λ

Speed of the wave

v = 1000 \times 0.33

\Rightarrow v = 330 m / \sec

Therefore, time taken

t = distance / velocity

\Rightarrow t = 1000 / 330

\Rightarrow t = 3.03 \sec

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