Eight point charges are placed at the corners of a cube of edge a as shown in figure. The work done in disassembing this system of charges will be-

Options

A. `(q^(2))/(4pi epsilon_(0)a)`
B. `(q^(2)sqrt(3))/(4pi epsilon_(0)a)`
C. `(12q^(2))/(4pi epsilon_(0)a)`
D. `(5.824q^(2))/(4pi epsilon_(0)a)`

Answer

D

Explanation

`U = (k(q)(-q))/(a) xx 12 +(kq^(2))/(asqrt(2)) xx 12 +(k(q)(-q))/(qsqrt(3)) xx 4`
`=(5.824 q^(2))/(4pi epsilon_(0)a)`