The potential energy of a particle is given by formula \( U=100-5 x+100 x^{2} \), where \( U \) ...

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The potential energy of a particle is given by formula \( U=100-5 x+100 x^{2} \), where \( U \) and \( x \) are in SI units. If mass of the particle is \( 0.1 \mathrm{~kg} \), then magnitude of its acceleration
(a) At \( 0.05 \mathrm{~m} \) from the origin is \( 50 \mathrm{~ms}^{-2} \)
(b) At \( 0.05 \mathrm{~m} \) from the mean position is \( 100 \mathrm{~ms}^{-2} \)
(c) At \( 0.05 \mathrm{~m} \) from the origin is \( 150 \mathrm{~ms}^{-2} \)
(d) At \( 0.05 \mathrm{~m} \) from the mean position is \( 200 \mathrm{~ms}^{-2} \)
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