A particle of mass \( 10 \mathrm{~g} \) is placed in a potential field given by \( U=\left(500 x...

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A particle of mass \( 10 \mathrm{~g} \) is placed in a potential field given by \( U=\left(500 x^{2}+100\right) \mathrm{erg} / \mathrm{gm} \). Calculate the frequency of oscillation.
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