Question

The periodic time of angular oscillations of a bar magnet is proportional to ______.

Options

• ratio of moment of inertia and magnetic field

• ratio of magnetic field and moment of inertia

• square root of the ratio of moment of inertia and magnetic field

• square root of the ratio of magnetic field and moment of inertia

Answer 1

The periodic time of angular oscillations of a bar magnet is proportional to square root of the ratio of moment of inertia and magnetic field.

Explanation:

The following formula gives the periodic time T of a bar magnet in a magnetic field:

T = `2 pisqrt(I/(µB))` where µ = Magnetic moment

∴ `T ∝ sqrt(I/(B))`  .....(As µ is constant)