Question

9. In the Bohr model of hydrogen atom, the electron
circulates around the nucleus in a path of radius
5.1 x 10-11 m at a frequency 6.8 x 1015 5-1. Find the
magnetic field set up at the centre of the orbit.
Ans. 13.4 N A-m-?

Answer 1

Answer:

The circulating electron is equivalent to a circular current carrying loop,

i=ef

=6.8×10

15

×1.6×10

−19

=1.08×10

−23

amp

Magnetic field at the center

B=

2a

μ

0

i

=

2×5.1×10

−11

4π×10

−7

×1.08×10

−3

=13.3weber/m

2