MHT CET202314 May 2023Morning ShiftPhysicsMagnetic Effects of CurrentActual
Magnetic field at the centre of the hydrogen atom due to motion of electron in n ^ th orbit is proportional to
Options
- An ^4
- Bn ⁻³
- Cn ^3
- Dn ⁻⁵
Correct answer
D. n ⁻⁵
Step-by-step solution
The radius of the n ^ th Bohr orbit is, r_n n^2 . The angular velocity of the electron, _n 1 n^3 Also, current I_n= q T_n = q _n 2 array ll & I _ n _ n 1 n ^3 & Now, B _ n = ₀ I _ n 2 r _ n & B _ n 1 n ^3 1 n ^2 & B _ n 1 n ^5 array