Suppose two deuterons must get as close as `10^(-14) m` in order for the nuclear force to overcome the repulsive electrostatic force. The height of the electrostatic harrier is nearest to

Options

A. `0.14 M e V`
B. `2.3 M e V`
C. `1.8 xx 10 M e V`
D. `0.56 M e V`

Answer

A

Explanation

Barrier height
`= (1)/(4 pi epsilon_(0)) (e^(2))/(r_(e)) J = (1)/(4 pi epsilon_(0)) (e)/(r_(e)) eV`
`= (9 xx 10^(9) xx 1.6 xx 10^(-19))/(10^(-14)) eV = 1.44 xx 10^(5) eV`