Q.

Which of the following function represents a simple harmonic oscillation

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a

sin ωt - cos ωt

b

sin2 ωt

c

sin ωt + sin 2ωt

d

sin ωt - sin 2 ωt

answer is A.

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Detailed Solution

x=sinωt-cosωt=2sinωt-π4 is a SHM with angular frequency ω.x=sin2ωt=12-12cos2ωt is a SHM about equilibrium position x=12 with angular frequency 2ω.The last two equations do not represent SHM because multiple frequencies are present in each case.
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