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

Options

A. 1.5 m
B. 2 m
C. 3 m
D. 1 m

Answer

A

Explanation

Given, `V (x) = (x^(2) - 3 x)`
For condition of equilibrium, `(dV(x))/( dx) =0`
Hence, `(dV(x))/(dx) = 2x -3`
So, `2x -3 =0`
`x= 1.5` m