Sound WavesHard

Question

The stationary waves set up on a string have the equation y = (2 mm) sin[(6.28 m-1)x]cos (ωt). This stationary wave is created by two identical waves, of amplitude A each, moving in opposite directions along the string : -

Options

A.A = 2 mm
B.A = 1 mm
C.The smallest length of the string is 50 cm
D.The smallest length of the string is 2 m

Solution

Comparing with the equation
y = 2Asin cos(ωt)
2A = 2mm or A = 1mm
= 6.28x = 2πx or L = m.
For n = 1, L = 0.5 m.

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