A wire of length \( 10 \, \text{cm} \) and radius \( \sqrt{7} \times 10^{-4} \, \text{m} \) connected across the right gap of a meter bridge. When a resistance of \( 4.5 \, \Omega \) is connected on the left gap by using a resistance box, the balance length is found to be at \( 60 \, \text{cm} \) from the left end. If the resistivity of the wire is \( R \times 10^{-7} \, \Omega \, \text{m} \), then value of \( R \) is :
