Sound WavesMedium
Question
The displacement y of a particle executing periodic motion is given by : y = 4cos2 
sin (1000t). This expression may be consider to be a result of the superposition of ...... independent, simple harmonic motions.
sin (1000t). This expression may be consider to be a result of the superposition of ...... independent, simple harmonic motions. Options
A.two
B.three
C.four
D.five
Solution
y = 4 cos2 
sin 1000t
= 2 cos
= sin 1001 t + sin 1000t + sin 1000t + sin999t
= sin 1001t + 2 sin 1000t + sin 999t
sin 1000t= 2 cos
= sin 1001 t + sin 1000t + sin 1000t + sin999t
= sin 1001t + 2 sin 1000t + sin 999t
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