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There are two current carrying planar coils each made from identical wires of length \( L . C_{1} \) is circular (radius \( R \) ) and \( C_{2} \) is square (side \( a \) ). They are so constructed that they have same frequency of oscillation when they are placed in the same uniform magnetic field \( \vec{B} \) and carry the same current. Find \( a \) in terms of \( R \).
(a) \( a=R \)
(b) \( a=2 R \)
(c) \( a=3 R \)
(d) \( 2 a=5 R \)
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