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A certain transverse wave is described b...

A certain transverse wave is described by
`y(x, t)=(6.50 mm) cos 2pi((x)/(28.0 cm) - (t)/(0.0360 s)).`
Determine the wave's
(a) amplitude , (b) wavelength
( c ) frequency , (d) speed of propagation and
(e) direction of propagation.

Text Solution

Verified by Experts

The correct Answer is:
A, B, C, D

(b) `lambda=(2pi)/(k) = (2pi)/(2pi//28)`
`=28 cm`
( c ) `f = (omega)/(2pi) = (2pi//0.036)/(2pi)`
`= 27.8 Hz`
(d) `v = flambda = 778.4 cm//s`
Since, `omegat and kx` have opposite signs. Hence wave is travelling in positive direction.
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