Potential energy of a particle varies with distance x as shown in… - Vidyadip

MCQ

Potential energy of a particle varies with distance $x$ as shown in the graph Select the wrong statement

A
Rate of change of potential energy with distance is zero at $B$
B
Rate of change of potential energy with distance is maximum at $C$
C
Position $B$ and $D$ both represents equilibrium
✓
Position $D$ is stable equilibrium

✓

Answer

Correct option: D.

Position $D$ is stable equilibrium

d
at, $D \& B, \frac{d U}{d x}=0$

i.e. $F=0,$ equilibrium position

at $\mathrm{D}, \frac{\mathrm{d}^{2} \mathrm{U}}{\mathrm{dx}^{2}}=-\mathrm{ve} \quad$ unstable equilibrium

at $\mathrm{C}, \frac{\mathrm{d} \mathrm{U}}{\mathrm{dx}} \quad$ is maximum

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