On the basis of dimensions, decide which of the following relations for the displacement of a pa...

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On the basis of dimensions, decide which of the following relations for the displacement of a particle undergoing simple harmonic motion is not correct?
a. \( y=a \sin 2 \pi t / T \)
b. \( y=a \sin \frac{v t}{\lambda} \)
c. \( y=\frac{a}{t} \sin \left(\frac{t}{a}\right) \)
d. \( y=a \sqrt{2}\left(\sin \frac{2 \pi t}{T}-\cos \frac{2 \pi t}{T}\right) \)
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