Three solenoid coils of same dimension, same number of turns and same number of layers of windings are taken. Coil 1 with inductance `L_(1)` was would using a wire of resistance `11Omega//m`, coil 2 with inductance `L_(2)` was wound using the similar wire but the direction of winding was reversed in each layer, coil 3 with inductance `L_(3)` was wound using a superconducting wire. The self-inductance of the coils `L_(1),L_(2)` and `L_(3)` are

Options

A. `L_(1)=L_(2)=L_(3)`
B. `L_(1)=L_(2),L_(3)=0`
C. `L_(1)=L_(3),L_(2)=0`
D. `L_(1)gtL_(2)gtL_(3)`

Answer

B

Explanation

As L = `mu_(0)mu_(r)n^(2)Al`
For 1 and 2 `toL_(1)=L_(2)`
For 3, `toL_(3)=0`.