A uniform wooden bar of mass \( \frac{\pi}{100} \mid kg \) and radius \( kg \) and radius of crosssection \( 10 cm \) carries a light coil \( C \) of 100 turns. The bar is smoothly pivoted at \( P \). If the coil carries a current \( 2 A \) and subjected to external magnetic field \( 10^{-2} T \), the bar remains in equilibrium, the distance \( x \) (in \( cm \) ) of the C.M. of the rod from the pivot is \( 10 \times a \), then the value of a is.

Question

A uniform wooden bar of mass pi/100 kg and radius of crosssection 10 cm  carries a light coil \( C \) of 100 turns. The bar is smoothly pivoted at \( P \). If the coil carries a current \( 2 A \) and subjected to external magnetic field \( 10^{-2} T \), the bar remains in equilibrium, the distance  x \) (in \( cm \) ) of the C.M. of the rod from the pivot is \( 10 \times a \), then the value of a is.