The potential energy of a particle of mass 1 kg `U = 10 + (x-2)^(2)`. Herer, U is in joule and x in met. On the positive x=axis particle travels up to x=+6cm. Choose the wrong statement.

Options

A. On negative X-axis particle travels upto x=-2 m
B. The maximum kinetic energy of the particle is 16 J
C. Both (a) and (b) are correct
D. Both (a) and (b) are incorrect

Answer

C

Explanation

(c ) At x=6 m, U=26J (extreme position)
On the other side
`U=26=10+(x-2)^(2)" or "x-2=-+4`
`:." "`x=6m and x=-2m
`U_(min)=10J, "at " x=2`
`KE_(max)=E-U_(min)=16J, "at "x=2`