Teaching HTET PGT Level 3 - 2024 Mock Test Physics Moving Charges and Magnetism The Magnetic Dipole Moment
The electron performs uniform circular motion around the Hydrogen nucleus (Assume +e the charge of the nucleus, –e be the charge of the electron, r be the orbital radius of the electron, v the orbital speed, L the angular moment of the electron, μ the magnetic moment of the electron, γ be the gyromagnetic ratio of the electron, h the Planck's constant, and ℏ, a quantity called reduced Planck's constant where \(ℏ = \frac {h}{2\pi}\) and Assume the nucleus is placed on the origin, the orbit of the electron is on the y-z plane and the electron is moving in a clockwise direction when seen from a point on the +x-axis.)
An external magnetic field B exists in the +y direction, then, on the Hydrogen atom, the value of net torque is not equal to
1
\(\tau =\hbar \gamma LB\)
2
\(\tau =\frac {evr}{2}B\)
3
\(\tau =\frac {e}{2m}LB\)
4
\(\tau =\gamma LB\)