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Q.

A plane wave is represented by   x=1.2sin(314 t+12.56y)Where x and y are distances measured along in x and y direction in meters and t is time in seconds. This wave has

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a

A wavelength of 0.25 m and travels in + ve x direction

b

A wavelength of 0.25 m and travels in + ve y direction

c

A wavelength of 0.5 m and travels in – ve y direction

d

A wavelength of 0.5 m and travels in – ve x direction

answer is C.

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Detailed Solution

The given equation representing a wave travelling along –y direction (because ‘+’ sign is given between t term and x term). On comparing it with  x=Asin ω t+kyWe get k=2πλ=12.56⇒λ=2×3.1412.56=0.5 m
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