Home
Class 12
PHYSICS
An electron in the ground state of hydro...

An electron in the ground state of hydrogen atom is revolving in anticlockwise direction in circular orbit of radius R. The orbital magnetic dipole moment of the electron will be

Text Solution

Verified by Experts

The orbiting electron behaves as a current loop.The equivalent current ,`i=(net charge)/(time of revolution)=(e)/(f)=ef(rot)`.Now, magnetic diople moment `mu=niA`, n=number of the turns of the loop=1,A=area of the loop=`pi r^(2)`,`implies mu =(1)(ef_(rot)) (pi r^(2)) implies mu=pi er^(2) f_(rot)` putting the values of `f_(rot)` and r we obtain,`mu=pie((n^(2)h^(2)epsilon_(0))/(pime^(2)Z))((mZ e^(4)))/(4(epsilon)_(0)^(2)h^(3)n^(3)=(ehn)/(4pim)`
Promotional Banner

Topper's Solved these Questions

  • AC CIRCUITS

    FIITJEE|Exercise SOLVED PROBLEMS (SUBJECTIVE)Prob|9 Videos

  • AC CIRCUITS

    FIITJEE|Exercise SOLVED PROBLEMS(OBJECTIVE)prob|7 Videos

  • COLLISION

    FIITJEE|Exercise (NUMERICAL BASED QUESTIONS)|4 Videos

Similar Questions

Explore conceptually related problems

An electron in the ground state of hydrogen atom is revolving in anti-clockwise direction in a circular orbit of radius R. (i) The expression for the orbital magnetic moment of the electrton is (eh)/(n pi m) . Find n square (ii) The atom is placed in a uniform magnetic induction B such that the normal to the plane of electron’s orbit makes an angle of 30^(@) with the magnetic induction. The torque experienced by the orbiting electron is (ehB)/(n pi m) . Find n square

An electron in the ground state of hydrogen atom is revolving in anticlockwise direction in the circular orbit of radius R. The atom is placed in a uniform magnetic induction B such that the plane normal of electron orbit makes an angle 30^@ with B, as shown in figure. The torque experienced by electron will be .

An electron in the ground state of hydrogen atom is revolving in anticlock-wise direction in a circular orbit of radius R . (i) Obtain an experssion for the orbital magnetic dipole moment of the electron. (ii) The atom is placed in a uniform magnetic induction vec(B) such that the plane - normal of the electron - orbit makes an angle of 30^(@) with the magnetic induction . Find the torque experienced by the orbiting electron.

An electron in the ground state of hydrogen atom is revolving in anti-clockwise direction in the circular orbit of radius R as shown in figure. Obtain an expression for the orbital magnetic dipole moment of the electron.

An electron in the ground state of hydrogen atom is revolving in anti-clock wise direction in a circular orbit. The atom is placed in a magnetic filed such that the normal to the electron orbit makes an angle of 30° with the magnetic field. Find the torque experienced by the orbiting electron.

Magnetic dipole moment of revolving electron is

An electron in the ground state of hydrogen atom is revolving in anti-clockwise direction in the circular orbit of radius R as shown in figure. The atom is placed in a uniform magnetic induction B such that the plane normal of the electron orbit makes an angle 30^(@) with the magnetic induction. Find the torque experienced by the orbiting electron.

Show that the orbital magnetic dipole moment of a revolving electron is evr//2.

The orbital speed of an electron orbiting around the nucleus in a circular orbit of radius r is v. Then the magnetic dipole moment of the electron will be