Out of the following functions representing motion of a particle which represents SHM
I. `y = sin omega t - cos omega t`
II. `y = sin^(3)omega t`
III. `y = 5 cos ((3 pi)/(4)-3 omega t)`
IV. `y = 1 + omega t + omega^(2)t^(2)`

Options

A. only(iv) does not represent `SHM`
B. (i) and (iii)
C. (i) and (ii)
D. only (i)

Answer

B

Explanation

For a simple harmonic motion `(d^(2)y)/(dt^(2)) prop - y`
Hence equation `y = sin omega t` and `y = 5 cos ((3pi)/(4) - 3 omegat)` setisfy this contation and equation `y = 1 + omega t + omega^(2) t^(2)` is not peridlum `y = sin^(2)omega^(2)` periode but not `SHM` option c is correct