There are two current carrying planar coils made each from identical wires of length L. C is circular (radius R) and C 2 is square (side a). They are so constructed that they have same frequencies of oscillation when they are placed in the same uniform magnetic field B and carry the same current I. The relation between a and R is
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For circular coil, 
and magnetic moment, 
For square coil 
and magnetic moment, 
Now moment of inertia about an axis through the diameter of circular coil 
and moment of inertia of square coil about an axis passing through its center and parallel to edge of square 
Then, frequency of oscillation of 
and frequency of oscillation of 
As, 
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