Question

The Gyromagnetic ratio of the electron revolving in a circular orbit of a hydrogen atom is 8.8 x 10¹⁰ C kg^-1. What is the mass of the electron? (Given charge of the electron = 1.6 x 10-19 C.) 

Options

• 1 x 10^-29 kg

• 0.1 x 10^-29 kg

• 1.1 x 10^-29 kg

• `1/11` x 10^-29 kg

Answer 1

`underline(1/11 xx 10^-29)` kg

Explanation:

Gyromagnetic ratio, `"M"/"L" = "e"/(2"m")`

∴ m = `"e"/(2("M""/""L")) = (1.6 xx 10^-19)/(2 xx 8.8 xx 10^10) = 1/11 xx 10^-29` kg