A standing-wave pattern is observed in a thin wire with a length of 3.00 m. The wave function is y = 0.00200 sin(πx) cos(100πt) where x and y are in meters and t in seconds.
(a) How many loops does this patten exhibit? (b) What is the fundamental frequency of vibration of the wire?
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distance between adjacent nodes=λ/2
No of loops n on the given length 3m
2 × 3/2 =3 loops
b) It on the fits one-half of a wavelength in
the entire length of the wire, thus it is
λ = 2L = 6 m
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