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Q.

Which of the following relations for the displacement of a particle undergoing simple harmonic motion is not correct dimensionally?

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a

y=asin⁡2πtT

b

y=acos⁡ωt

c

y=aTsin⁡ta

d

y=a2sin⁡2πtT+cos⁡2πtT

answer is C.

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Detailed Solution

Dimensions on RHS must be displacement [L].Arguments of sine and cosine are dimensionless. Hence, option (c) is not correct.
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