Directions : In the following question more than one of the answers given may be correct. Select the correct answer and mark it according to the code:
A book with many printing errors contains four different expressions for the displacement y of a particle executing simple harmonic motion which of the following options are correct? (1) \[Y=A\sin \left( \frac{2\pi t}{T} \right)\] (2) \[Y=A\sin vt\] (3) \[Y=\frac{A}{\sqrt{2}}(\sin \omega t+\cos \omega t)\] (4) \[Y=\frac{A}{T}\sin \left( \frac{t}{A} \right)\]A) 1, 2 and 3 are correct
B) 1 and 2 are correct
C) 2 and 4 are correct
D) 1 and 3 are correct
Correct Answer: D
Solution :
Argument of sine function must be dimensionless and coefficient of sine function must have dimensions of displacement, ie, [L]. Hence, choices (1) and (3) are correct.
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