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 of

Options

A. two
B. three
C. four
D. five

Answer

B

Explanation

`y =4 cos^(2)((t)/(2))sin(1000 t)`
`=2(cos^(2)(t)/(2)sin 1000 t)`
`=2[cos t+1]sin 1000t = 2 cos t sin 1000t + 2 sin 1000 t`
`= sin 1001 t+ sin 999t +2 sin 1000 t`.