Current Electricity Question 9

Question 9 - 2024 (27 Jan Shift 2)

Wheatstone bridge principle is used to measure the specific resistance $\left(\mathrm{S}_{1}\right)$ 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 :

(1) $\frac{S_{1}}{4}$

(2) $2 \mathrm{~S}_{1}$

(3) $\frac{S_{1}}{2}$

(4) $S_{1}$

Show Answer

Answer: (4)

Solution:

As specific resistance does not depends on dimension of wire so, it will not change.