JEE Advanced 2021 Full Test 2 Paper 2

A circular wire loop of radius R is placed in the x -y plane 1 centered at the origin O. A square loop of side a(a<<R) having two turns is placed with its centre at z=√3R along the axis of the circular wire loop, as shown in figure. The plane of the square loop makes an angle 45° with respect to the z-axis. If the mutual inductance between the loops is given by

µ0a2

2p∕2R′

then the value of p is