The equation of a travelling wave is y=60cos(1800t−6x) where y is in microns, t in seconds and x in metres. The ratio of maximum particle velocity to velocity of wave propagation is
A
3.6×10−11
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B
3.6×10−4
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C
3.6×10−9
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D
3.6
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Solution
The correct option is B3.6×10−4 Velocity of wave propagation=ωk =18006 V=300m/sec Vp=dydf=−60×1800sin(1800t−6x)×10−6 Vp=60×1800×10−6 ∴VpV=60×1800×10−6300 =3.6×10−4