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 particle is performing a linear simple harmonic motion. If the acceleration and the corresponding velocity of the particle are a and v respectively, which of the following graphs is/are correct? (1)
(2) 
(3) 
(4) 
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: A
Solution :
In SHM, \[{{v}^{2}}={{\omega }^{2}}({{A}^{2}}-{{y}^{2}})\] and \[{{a}^{2}}={{\omega }^{4}}{{y}^{2}}\] Hence, \[{{v}^{2}}={{\omega }^{2}}{{A}^{2}}-({{a}^{2}}/{{\omega }^{2}})\] Or \[{{v}^{2}}+\left( \frac{{{a}^{2}}}{{{\omega }^{2}}} \right)={{\omega }^{2}}{{A}^{2}}\] Choices (1), (2) and (3) are correct.
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