Question

In column I, the positions of small current carrying loops have been shown and in column II information related to force experienced by coil is given. Match the entries of column I with the entries of column II :
(Assume solenoid radius to be small as compared to its length)

Answer 1

The force experienced by a coil in a magnetic field is given
by $F=P_m\frac{\partial B}{\partial r},Where\frac{\partial B}{\partial r}$ is the increment of B along magnetic dipole moment of contour.

You can write the expression for magnetic field due to solenoid at a general point and then differentiate it. From this information, you can have the results.

Whether the force is attractive or repulsive can also be found by using the concept of nature of poles induced on the solenoid and coil. The force comes out to be zero at centre and as we approach it from some outside point, its value increases.

For D: The coil first rotates to align itself in such a manner so as to link the maximum flux and then the case would be same as that of C.