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A plane progressive wave is represented ...

A plane progressive wave is represented by the equation `y=0.1 sin (200 po t-(20 pi x)/(17))`where y is displacement in m , t in second and x is distance from a fixed origin in meter . The frequency, wavelength and speed of the wave respectively are

A

100 Hz, 1,7 m, 170 m/s

B

150 Hz, 2.4 m, 200 m/s

C

80 Hz, 1.1 m, 90 m/s

D

120 Hz, 1.25 m, 207 m/s

Text Solution

Verified by Experts

The correct Answer is:
A
`y=0.1sin(200pit-(20pix)/(17))`
`f=(omega)/(2pi)=(200pi)/(2pi)=100Hz`
`lambda=(2pi)/(k)=(2pi)/(20pi)xx17=1.7m`
Speed of wave `(v)=(omega)/(k)=(200pi)/(20pi)xx17=170m//s`.
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