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The Effect of Path Difference

A sound wave ...

Question

A sound wave has frequency of $2 k H z$ and wavelength of 35 cm. If an observer is $1.4 k m$ away from the source, after what time interval could the observer hear the sound?

A

2 s

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B

20 s

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C

0.5 s

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D

4 s

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Solution

The correct option is A $2 s$
Speed of wave = frequency x wavelength
speed = $\frac{d i s t a n c e}{t i m e}$

$∴$ $\frac{d i s t a n c e}{t i m e}$ = $0.35 \times 2000$ = $700 m / s$

$t i m e$ = $\frac{1400}{700}$ = $2 s$

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