A wave equation which gives the displacement along Y-direction is given by y=10−4sin(60t+2x)where x and y are in metres and t is time in seconds. This represents a wave
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a
travelling with a velocity of 30 m/s in the negative x-direction
b
of wavelength π metres
c
of frequency 30/π Hertz
d
of amplitude 10-4 m travelling along the negative x-direction
answer is A.
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Detailed Solution
y=10−4sin(60t+2x)y=asin(ωt+kx)Now, k=2, 2π/λ=2 or λ=π metre Again, ω=60or 2πf=60 or f=602π=30πHzAgain, v=ωk=602m/s=30m/s