Wheatstone bridge principle is used to measure the specific resistance \(\left(S_1\right)\) of given wire, having length…

Wheatstone bridge principle is used to measure the specific resistance \(\left(S_1\right)\) of given wire, having length \(L\), radius \(r\). If \(X\) is the resistance of wire, then specific resistance is ; \(S_1=X\left(\frac{\pi r^2}{L}\right)\). If the length of the wire gets doubled then the value of specific resistance will be :

[JEE Main 2024, 27 Jan (Shift 2)]