In a meter bridge experiment the balance point in obtained if the gaps are closed by $2\,\Omega$ and $3\,\Omega$. A shunt of $x\,\Omega$ is added to $3\,\Omega$ resistor to shift the balancing point by $22.5\,cm$. The value of $X$ is $................$
  • A$2$
  • B$4$
  • C$6$
  • D$8$
JEE MAIN 2023, Medium
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