An iron rod of susceptibility $599$ is subjected to a magnetizing field of $1200$ A/m. The permeability of the material of the rod is:$\quad (\mu_0 = 4\pi \times 10^{-7}$ Tm/A$)$

The dimensions $[MLT^{-2}A^{-2}]$ belong to:

The net magnetic flux through any closed surface is:

Match List I with List II.

A tightly wound 100 turns coil of radius 10 cm carries a current of 7A. The magnitude of the magnetic field at the centre of the coil is (Take permeability of free space as $4\pi \times 10^{-7}$ SI units):

A sheet is placed on a horizontal surface in front of a strong magnetic pole. A force is needed to:$\\ A.$ Hold the sheet there if it is magnetic.$\\ B.$ Hold the sheet there if it is non-magnetic.$\\ C.$ Move the sheet away from the pole with uniform velocity if it is conducting.$\\ D.$ Move the sheet away from the pole with uniform velocity if it is both, non-conducting and non-polar.$\\$Choose the correct statement(s) from the options given below:

An iron bar of length L has magnetic moment M. It is bent at the middle of its length such that the two arms make an angle $60^\circ$ with each other. The magnetic moment of this new magnet is:

In a uniform magnetic field of $0.049T,$ a magnetic needle performs 20 complete oscillations in 5 seconds as shown. The moment of inertia of the needle is $9.8 \times 10^{-6}$ kg m$^2.$ If the magnitude of magnetic moment of the needle is $x \times 10^{-5}$ Am$^2,$ then the value of $x$ is: