A uniform wire of length $200 \mathrm{~cm}$ is connected to a battery, two resistors and a galvanometer as…
A uniform wire of length $200 \mathrm{~cm}$ is connected to a battery, two resistors and a galvanometer as shown in the figure. The galvanometer shows null deflection when the jockey $\mathrm{J}$ is at 80 $\mathrm{cm}$ from point $A$. If the resistor $R_2$ is shunted with $30 \Omega$ resistance, the galvanometer shows null deflection when the jockey $J$ is at $100 \mathrm{~cm}$ from point $B$. Then the values of $R_1$ and $R_2$ respectively are
