Out of the following functions representing motion of a particle which represents SHM :(i) y= sin ωt-cos ωt(ii) y= sin3 ωt(iii) y= 5 cos 3π4-3ωt(iv) y=1+ωt+ω2t2

# Out of the following functions representing motion of a particle which represents SHM :(i) (ii) (iii) (iv) $\mathrm{y}=1+\mathrm{\omega t}+{\mathrm{\omega }}^{2}{\mathrm{t}}^{2}$

1. A

only (i)

2. B

only (iv) does not represent SHM

3. C

only (i) and (iii)

4. D

only (i) and (ii)

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### Solution:

It is superposition of two SHMs of different frequencies. So it is not SHM.

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