1.

The displacement `y` of a particle executing periodic motion is given by `y = 4 cos^(2) ((1)/(2)t) sin(1000t)` This expression may be considereed to be a result of the superposition ofA. (a) twoB. ( b ) threeC. ( c ) fourD. (d) five

Answer» Correct Answer - B
(b) `y = 4cos^(2) ((t)/(2)) sin(1000t) = 2(2cos^(2)(t)/(2)sin1000t)`
`= 2[cos t + 1]sin 1000t`
`= 2cos t sin 1000t + 2 sin 1000t`
`= sin 1000t + sin 999t + 2 sin 1000t`


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