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. 2
B. 3
C. 4
D. 5

Answer

B

Explanation

Given, `y=4 "cos"^(2) t/2 sin (1000t)`
`=2(1+cos t) sin (1000 t) ( :' 1+cos theta=2 "cos"^(2) theta/2)`
`=2 sin 1000 t+2 cos t sin 1000 t`
`=2 sin 1000 t+sin (1001)t+sin (999)t`
Therefore, it consists of 2 SHM's