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Questions  

A wave equation which gives the displacement along Y-direction is given by 

y=104sin(60t+2x)

where x and y are in metres and t is time in seconds. This represents a wave

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

detailed solution

Correct option is A

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

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