Potential energy of a particle of mass \( 0.1 \mathrm{~kg} \) moving along \( \mathrm{x} \)-axis...
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Potential energy of a particle of mass \( 0.1 \mathrm{~kg} \) moving along \( \mathrm{x} \)-axis is given as \( \mathrm{U}=5 \mathrm{x}(\mathrm{x}-4) \mathrm{J} \),
\( \mathrm{P} \) here \( x \) is in meters, then which of the following is
W correct
(i) particle is acted upon by a constant force.
(ii) speed of particle is maximum at \( x=2 \mathrm{~m} \).
(iii) particle executes SHM
(iv) period is \( \pi / 5 \mathrm{sec} \).
(1) i, ii, iii
(2) ii, iii, iv
(3) i, ii, iv
(4) i, ii, iii \& iv
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