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Q.

A sound wave has a frequency of 5kHz  and a wavelength of 50cm. The distance traveled by sound in 4sec (in km ) will be:

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a

40 km

b

30 km

c

20 km

d

10 km 

answer is D.

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Detailed Solution

detailed_solution_thumbnail

We know that the speed formula in terms of wavelength and frequency is:
Speed (v)= wavelength (λ)×frequency (f).
According to the question given,
Wavelength (λ)=50 cm=50/100 m=0.5 m
Frequency (f)=5kHz=5000 Hz
Speed (v)=f×λ
V=5000×0.5=2500 m/s

The distance traveled in 4sec=speed x time 

=2500×4
 =10000 m

The distance traveled in 4sec=10 km

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