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Q.

A sinusoidal wave is propagating in negative x -direction in a string stretched along x-axis. A particle of string at x=2 m is found at its mean position and it is moving in positive y-direction at t=1sec. The amplitude of the wave, the wavelength and the angular frequency of the wave are 0.1 meter, π/2 meter and 2πrad/sec respectively. The equation of the wave is

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a

y=0.1sin(4π(t-1)+8(x-2))

b

y=0.1sin((t-1)-(x-2))

c

y=0.1sin(2π(t-1)+4(x-2))

d

None of these

answer is C.

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Detailed Solution

The equation of wave moving in negative x -direction, assuming origin of position at x=2 and origin of time (i.e. initial time) at t=1sec . y=0.1sin(2πt+4x) Shifting the origin of position to left by 2 m , that is, to x=0 . Also shifting the origin of time backwards by 1 sec , that is to t=0sec . y=0.1sin(2π(t−1)+4(x−2))

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