Question

The electron in the hydrogen atom is moving with a speed of 1.5 x 10⁶ m/s in an orbit of radius 2 Å. Magnetic moment of the revolving electron is ____________.

पर्याय

• 10^-20 Am²

• 2.4 x 10^-23 Am²

• 10^-23 Am²

• 3.2 x 10^-19 Am²

Answer 1

The electron in the hydrogen atom is moving with a speed of 1.5 x 10⁶ m/s in an orbit of radius 2 Å. Magnetic moment of the revolving electron is 2.4 x 10^-23 Am².

Explanation:

Tue magnetic moment of the revolving electron is

`"M" = "IA" = e/"T" xx pi"r"^2   "But T" = (2pi"r")/"v"`

`therefore "M" = "ev"/(2pi"r") xx pi"r"^2`

` = "evr"/2`

`therefore "M" = (1.6 xx 10^-19 xx 1.5 xx 10^6 xx 2 xx 0^-10)/(2)`

`=2.4 xx 10^23 "Am"^2`