In a meter bridge experiment to determine the value of unknown resistance, first the resistances 2 Ω and 3 Ω are connected in the left and right gaps…

In a meter bridge experiment to determine the value of unknown resistance, first the resistances $\displaystyle 2 \Omega$ and $\displaystyle 3 \Omega$ are connected in the left and right gaps of the bridge and the null point is obtained at a distance $\displaystyle l \mathrm{~cm}$ from the left. Now when an unknown resistance $\displaystyle x \Omega$ is connected in parallel to $\displaystyle 3 \Omega$ resistance, the null point is shifted by $\displaystyle 10$ cm to the right of wire. The value of unknown resistance $\displaystyle x$ is $\displaystyle \_\_\_\_ \Omega$.