In a metre bridge experiment the balance point is obtained if the gaps are closed by 2 Ω and 3 Ω. A shunt of X Ω is added to 3 Ω resistor to shift…

In a metre bridge experiment the balance point is obtained if the gaps are closed by $\displaystyle 2 \Omega$ and $\displaystyle 3 \Omega$. A shunt of $\displaystyle \mathrm{X} \Omega$ is added to $\displaystyle 3 \Omega$ resistor to shift the balancing point by $\displaystyle 22.5$ cm. The value of X is $\displaystyle \_\_\_\_$