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The equation of a transverse wave in a s...

The equation of a transverse wave in a stretched wire is given by,
`y = 2 sin [2pi((t)/(0.01) - (x)/(30))]`
Where t is in sec. and x & y are in cm.
Find
(a) amplitude
(b) frequency
(c ) wavelength and
(d) speed of the wave

Text Solution

Verified by Experts

Comparing the given equation with the standard equation
`y = A sin ((2pi)/(T)t-(2pi)/(lambda)x)`
(a) Amplitude, A = 2 cm
(b) Time period, T = 0.01 s.
Frequency, `f = (1)/(T) = 100Hz`
(c ) Wavelength `lambda = 30` cm
(d)Velocity of the wave `v = lambdaf = 30 xx 100 = 300 cm//s = 3m//s`
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