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Q.

A wave is represented by the equation y=Asin⁡(10πx+15πt+π/3) where x is in metre and t is in second. The expression represents

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a

a wave traveling in the positive x-direction with a velocity of.5m/s

b

a wave traveling in the negative x-direction with a velocity 1.5 m/s

c

a wave traveling in the negative x-detection with a wavelength of 0.2m

d

2  and 3 are correct

answer is D.

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Detailed Solution

The equation of a plane wave moving in negative x-direction is given byy=Asin⁡2πλ(vt+x)+ϕ Comparing the given equation with standard equation, we have 2πλ=10π and 2πλv=15π ∴ λ=210=0⋅2m and V=15πλ2π=15×0⋅22=1⋅5m/s Hence (2) and (3) are correct.
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