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Question

A plane wave is represented by

x=1.2 sin (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

[MP PET 1991]



A

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

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B

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

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C

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

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D

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

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Solution

The correct option is A

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


The given equation representing a wave travelling along -y direction

(because '+' sign is given between t term and x term). 

On camoaring it with x=A sin (ωt+ky)

We get k=2πλ=12.56λ=2×3.1412.56=0.5 m


Physics

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