A book with many printing errors contains four different expressions for the displacement \( y \....

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A book with many printing errors contains four
\( \mathrm{P} \)
different expressions for the displacement \( y \) of a particle executing simple harmonic motion -
Find the wrong formulae on dimensional ground.
(where \( \mathrm{A} \) is length)
(A) \( y=A \sin (2 \pi t / T) \)
(B) \( \mathrm{y}=\mathrm{A} \sin \mathrm{vt} ; \mathrm{v} \) is the speed
(C) \( y=(A / T) \sin (t / A) \)
(D) \( y=(A / \sqrt{2})(\sin \omega t+\cos \omega t) ; \omega \) is the angular velocity


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