The stationary waves set up on a string have the equation: y=(2 mm) sin 6.28m−1x cos ωtThe stationary wave is created by two identical waves, of amplitude A each, moving in opposite directions along the string. Then:
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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
answer is B.
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Detailed Solution
Comparing with the equation y=2A sin nπxL cos (ωt), we have 2A=2mm or A=1mm and nπxL=6.28x=2πx L=n2mfor n=1, L=0.5m