The displacement of a particle in a periodic motion is given by `y=4 "cos"^(2)(t//2)"sin"(1000t)` . This displacement may be considered as the result superposition of n independent harmonic oscillations. Here , n is

Options

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

Explanation

If we have a term `cos kx sin omegat`, it is the superposition of two wave motions. If we have an equation of the form `cos^(2)` at `sinbt` it can be shown to be superposition of three sine waves.
Here, `y=4cos^(2)((1)/(2)t sin(1000)t)`
`=2[1+cost]sin1000t=2[sin1000t+(1)/(2)(sin100t+sin999t)]=` this comprises three waves.