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A particle is executing $S.H.M.$ and its velocity $v$ is related to its position $(x)$ as $v^2+a x^2=b$, where $a$ and $b$ are positive constants. The frequency of oscillation of particle is ..........
  • A$\frac{1}{2 \pi} \sqrt{\frac{b}{a}}$
  • B$\frac{\sqrt{a}}{2 \pi}$
  • C$\frac{\sqrt{b}}{2 \pi}$
  • D$\frac{1}{2 \pi} \sqrt{\frac{a}{b}}$
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