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Question

Which of the following functions represents a simple harmonic oscillation?

A
sinωtcosωt
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B
sin2ωt
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C
sinωt+sin2ωt
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D
sinωtsin2ωt
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Solution

The correct option is A sinωtcosωt
sinωtcosωt=2[12sinωt12cosωt]
=2[cosπ4.sinωtsinπ4cosωt]
=2sin(ωtπ/4) [which represents simple harmonic motion]

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