Correct Answer - C
A rod of length L and radius r fixed at one end and twisted by applying a torque `tau` at the other end, then the angle of twist `theata` is given by `theta = (2tauL)/(pir^(4)eta)`
Where `eta` is shear modulus of the material of the wire.
As L, `tau and eta` are some for both the wires.
`therefore theta prop (1)/(r^(4)) or(theta_(1))/(theta_(2)) = ((r_(2))/(r_(1)))^(4)`