Question

The potential energy of a conservative system is given by $V\left(x\right)=(x^2-3x)$ joule where x is measured in metre. Then its equilibrium position is at

• A. 1.5 m
• B. 2 m
• C. 3 m
• D. 1 m
• E. 5 m

Answer 1

The correct option is A 1.5 m

Given, $V\left(x\right)=(x^2-3x)$
For condition of equilibrium, $\frac{dV\left(x\right)}{dx}=0$
Hence, $\frac{dV\left(x\right)}{dx}=2x-3$
So, $2x-3=0$
$x=1.5m$