KCET2014PhysicsMagnetic Effects of Current
A gyromagnetic ratio of the electron revolving in a circular orbit of hydrogen atom is ( 8.8 10¹⁰ C kg ⁻¹ ). What is the mass of the electron ? Given charge of the electron = ( 1.6 10⁻¹⁹ C ).
Options
- A( 1 10⁻²⁹ ~kg )
- B( 0.1 10⁻²⁹ k g )
- C( 1.1 10⁻²⁹ ~kg )
- D( 1 11 10⁻²⁹ ~kg )
Correct answer
D. ( 1 11 10⁻²⁹ ~kg )
Step-by-step solution
Given, gyromagnetic ratio ( =8.8 10¹⁰ C kg ⁻¹ ) We know, gyromagnetic ratio ( = e 2 m_ e ) ( m_ e = e 2 g = 1.6 10⁻¹⁹ 2 8.8 10¹⁰ = 2 22 10⁻²⁹= 1 11 10⁻²⁹ ~kg ) Therefore, mass of electron ( = 1 11 10⁻²⁹ ~kg )