A galvanometer having a coil resistance of 100Ω gives a full scale deflection, when a current of 1mA is passed through it. The value of the resistance, which can convert this galvonmeter into ammeter giving a full scale deflection for acurrent of 10A, is :

The formula for calculating the value of the shunt resistance is:

$S=\frac{I_g}{I-I_g}G$

In this case, the galvanometer has a coil resistance of 100Ω and gives a full-scale deflection when a current of 1mA is passed through it. To convert it into an ammeter that can measure a maximum current of 10A, we have:

$I_g=1mA=0.001A$

$I=10A$

$G=100\Omega$

substituting the values,

$S=\frac{0.001}{10-0.001}\times 100$

$S=0.01\Omega$

Hence the correct answer is $0.01\Omega .$