Magnetism and Gauss’s Law

A short magnet produces a deflection of 30° when placed at certain distance in tanA position of magnetometer. If another short magnet of double the length and thrice the pole strength is placed at the same distance in tanB position of the magnetometer, the deflection produced will be:

In what way is Gauss's law in magnetism different from that used in electrostatics ? Explain briefly.

The figure shows two fish tanks, each having ends of width 1 foot. Tank A is 3 feet long while tank B is 6 feet long. Both tanks are filled with 1 foot of water.

S_A = the magnitude of the force of the water on the end of tank A

S_B = the magnitude of the force of the water on the end of tank B

B_A = the magnitude of the force of the water on the bottom of tank A

B_B = the magnitude of the force of the water on the bottom of tank B. Using the notation given above, Which one of the following sets of equations below is correct for this situation?

According to Gauss’s law for magnetism ______.

The susceptibility of magnesium at 300 K is 1.2 × 10⁻⁵. At what temperature will the susceptibility increase to 1.8 × 10⁻⁵?

State Gauss’s law in electrostatics. A cube which each side ‘a’ is kept is an electric field given by `vecE` = C × l. (as is shown in the figure where C is a positive dimensional constant. Find out

(i) The electric flux through the cube, and

(ii) The net charge inside the cube.

A magnet is suspended horizontally in the earth's magnetic field. When it is displaced and then released it oscillates is a horizontal plane with a period T. If a piece of wood of same moment of inertia (about the axis of rotation) as the magnet is attached to the magnet, what would the new period of oscillation of the system become?

If the magnetic lines of force are shaped like arcs of concentric circles with their centre at point O in a certain section of a magnetic field ______.