Q.
A wave travelling in the +ve x-direction having displacement along y-direction as 1 m, wavelength 2πmand frequency of 1πHzis represented by
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a
y=sin10πx−20πt
b
y=sin2πx+2πt
c
y=sinx−2t
d
y=sin2πx−2πt
answer is C.
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Detailed Solution
The standard equation of a wave travelling along +ve x-direction is given byy=Asinkx−ωtWhere A = Amplitude of the wavek = angular wave number ω = angular frequency of the waveGiven: A=1m,λ=2πm,v=1πHz As k=2πλ=2π2π=1 ω=2πv=2π×1π=2 ∴The equation of the given wave is y=1sin1x−2t=sinx−2t
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