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Question

A wave of frequency 500Hztravels between X and Y, a distance of 600m in 2 sec. How many wavelength are there in distance XY?


A

1000

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B

300

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C

180

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D

2000

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Solution

The correct option is A

1000


Step 1: Given parameters

Frequency, f=500Hz

Displacement, s=600m

Time, t=2seconds

Step 2: Formula used

The velocity of the wave is given by, v=st where v is the velocity, s is the displacement, t is the time.

The wavelength of the wave is given by λ=vf

No. of the wavelengths traveled is N=sλ

Step 3: Calculating the wavelength

Velocity, v=st

v=6002

v=300ms

wavelength, λ=vf

λ=300500

λ=0.6 m

No. of the wavelengths traveled, N=sλ

N=6000.6

N=1000

Therefore, distance XY is equivalent to 1000 wavelengths.


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