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Question

The wavelength of a sound wave is 40 cm and the time period is 0.0005 s. How many seconds will it take to travel a distance of 4 km?


Correct Answer
A
5 s
Your Answer
B
11 s
Your Answer
C
7 s
Your Answer
D
16 s

Solution

The correct option is A 5 s
Given:
Wavelength of sound wave, λ=40 cm=0.4 m
Time period, T=0.0005 s
Distance travelled, s=4 km=4000 m

Let speed of sound wave be v.

Speed of a wave is the product will be:
v=λT
v=0.4 m0.0005 s
v=800 ms1

Let the time taken for the wave to travel distance s be t.
From definition of speed,
v=st
t=sv
t=4000800=5 s

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