A small compass needle of magnetic moment M is free to turn about an axis perpendicular to the direction of uniform magnetic field B. The moment of inertia of the needle about the axis is I. The needle is slightly displaced from its stable position and then released. Prove that it executes simple harmonic motion. Hence deduce the expression for its time period.

A small compass needle of magnetic moment .m. is free to turn about an axis perpendicular to the direction of uniform magnetic field .B.. The moment of inertia of the needle about the axis is .I.. The needle is slightly disturbed from its stable position and then released. Prove that it executes simple harmonic motion. Hence deduce the expression for its time period.

A small compass needle of magnetic moment ‘M’ and moment of inertial ‘I’ is free to oscillate in a magnetic field ‘B’. It is slightly disturbed from its equilibrium position and then released. Show that it executes simple harmonic motion. Hence, write the expression for its time period.

A small compass needle of magnetic moment ‘M’ and moment of inertial ‘I’ is free to oscillate in a magnetic field ‘B’. It is slightly disturbed from its equilibrium position and then released. Show that it executes simple harmonic motion. Hence, write the expression for its time period.

The moment of inertia of a thin uniform rod of mass M and length L about an axis perpendicular to the rod, through its centre is I . The moment of inertia of the rod about an axis perpendicular to rod through its end point is

The moment of inertia of a thin uniform rod of mass M and length L about an axis perpendicular to the rod, through its centre is I. The moment of inertia of the rod about axis perpendicular to the rod through its end point is

Moment of inertia of a thin uniform rod about an axis passing through one end perpendicular to its length is I . Then moment of inertia the same rod about the central axis perpendicular to its plane is