A particle is acted by `x` force `F = Kx` where `K` is `a( + Ve)` constant its potential mwrgy at `x = 0` is zero . Which curve correctly represent the variation of putential energy of the block with repect to `x`

Options

A.
B.
C.
D.

Answer

B

Explanation

(b) WE know that `delta U = -W` for conservative forces
`deltaU = - int_(0)^(x) Fdx ` or `deltaU = - int_(0)^(x) k xdx`
`rArr U_(x) - U_(0) = (kx^(2))/(2)`
Given ` U_(0) = 0 U_(x) = -(kx^(2))/(2)`