Physics Question from JEE Main 2023 · 29 January, Shift 1

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