It is given that,
Magnetic flux linked with the coil, \(\phi=2\times10^{-2}\,Wb\)
Change in current, \(\Delta I=0.01\,A\)
The relation between the magnetic flux and the self inductance is given by :
\(\phi=L\times\Delta I\)
\(L=\frac{\phi}{\Delta I}\)
\(L=\frac{2\times10^{-2}}{0.01}\)
L = 2 Henry
So, the self inductance of the coil is 2 Henry.