A) \[2\pi \sqrt{\frac{q}{p}}\]
B) \[2\pi \sqrt{\frac{p}{q}}\]
C) \[2\pi \sqrt{\frac{q}{p+q}}\]
D) \[2\pi \sqrt{\frac{p}{p+q}}\]
Correct Answer: B
Solution :
| \[K.E.=\frac{1}{2}m{{\text{v}}^{2}}=p{{\text{v}}^{2}}\Rightarrow m=2p\] |
| \[P.E.=\frac{1}{2}k{{x}^{2}}=q{{x}^{2}}\Rightarrow k=2q\] |
| Time period \[T=2\pi \,\sqrt{\frac{m}{k}}=2\pi \sqrt{\frac{2p}{2q}}=2\pi \sqrt{\frac{p}{q}}\] |
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