question_answer

In a meter bridge, as shown in the figure, it is given that resistance \[Y=12.5\Omega \] and that the balance is obtained at a distance \[39.5cm\] from end \[A\] (by jockey J). After interchanging the resistances \[X\] and\[Y\], a new balance point is found at a distance \[{{l}_{2}}\] from end \[A\]. What are the values of \[X\]and \[{{l}_{2}}\]?             [JEE Online 15-04-2018]

A) \[\text{19}\text{.15 }\Omega \] and \[\text{39}\text{.5 cm}\]

B) \[\text{8}\text{.16 }\Omega \text{ and 60}\text{.5 cm}\]

C) \[\text{19}\text{.15}\,\,\text{ }\!\!\Omega\!\!\text{ }\,\,\text{and}\,\,\text{60}\text{.5}\,\,\text{cm}\]

D) \[\text{8}\text{.16}\,\,\Omega \text{ and 39}\text{.5 cm}\]