In hydrogen atom find magnetic field at center in ground. State if Bohr's radius is `r_(0) = 5xx 10^(-11)`m.

Options

A. 15.20 T
B. 10.90 T
C. 13.95 T
D. 20.00 T

Answer

C

Explanation

`r=r_(0) =5xx 10^(-11) m`
`B=(mu_(0)i)/(2r) rArr i=(q)/(T)=(qv)/(2pir)`
`B=(mu_(0))/(2r)xx(qv)/(2pi r) rArr B=(mu_(0) ev)/(4pi r^(2))`
`=(4pi xx 10^(-7) xx 1.6 xx 10^(-19)xx2.18xx10^(6))/(4pi xx 25 xx 10^(-22)) =(1.6 xx 2.18)/(25)xx 10^(-7-19+6+22)`
`=0.1395 xx 100 =13.95 T`