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A particle of mass m moving in a one-dimensional potential energy $U (x) = - a x^{2} + b x^{4}$ , where 'a' and 'b' are positive constants. The angular frequency of small oscillations about the minima of the potential energy is equal to
$2 \sqrt{\frac{a}{2 b}}$
$2 \sqrt{\frac{a}{m}}$
$\sqrt{\frac{2 a}{m}}$
$\sqrt{\frac{a}{2 m}}$

A

\sqrt{\frac{a}{2 m}}

B

2 \sqrt{\frac{a}{2 b}}

C

\sqrt{\frac{2 a}{m}}

D

2 \sqrt{\frac{a}{m}}

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