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Question

The equation of a transverse wave travelling along positive X axis with amplitude 0.2 m, velocity 360 m/s and wavelength 60 m can be written as:

A
y=0.2sinπ[6t+x60]
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B
y=0.2sinπ[6tx60]
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C
y=0.2sin2π[6tx60]
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D
y=0.2sin2π[6t+x60]
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Solution

The correct option is C y=0.2sin2π[6tx60]
Transverse wave travelling in positive x axis can be written as y=Asin2π[νtxλ] ......(1)
Given : Wavelength λ=60 m
Velocity v=360 m/s
Amplitude A=0.2 m
Using v=νλ ν=vλ
ν=36060=6 s1
Putting all the values in (1), we get y=0.2sin2π[6tx60]

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