Figure given below shows the plot of the conservative force F, in a unidimensional field. The plot representing the function corresponding to the potential energy (U) in the field is :

Options

A.
B.
C.
D.

Answer

`(4)`

Explanation

`F = - (dU)/dx Rightarrow U = - int F dx = - int(-kx) dx`
`U = 1/2 kx^(2)`
Which is similar to `x^(2) = 4ay`