A wave equation which gives the displacement along y -direction is given by `y=0.001 sin (100t +x)` where x and y are in meterand t is time in second. This represented a wave

Options

A. travelling with a velocity of 100 m/s in the negative x-direction
B. travelling with a velocity of `(50)/(pi)`m/s in the positive x-direction
C. of wavelengthh 1 m
D. from frequency `(100)/(2pi)` Hz

Answer

A

Explanation

The standard equation of a wave, travelling with amplitude a in the negative x-direction with angular velocity `omega` is given by
`y=asin(omegat+kx)` . . . (i)
we compare the given equation with the equation
`a=0.001sin(100t+x)`
we get, `omega=100 and k=1 `
velocity, `v=(omega)/(k)=(100)/(1)=100m//s`
wavelength, `v=(2pi)/(k)=(2pi)/(1)=2pi`
Frequency,` v=(omega)/(2pi)=(100)/(2pi)`