The sensitivity of a galvanometer of resistance 406 ohm is increased by 30 times. The shunt used is

$88\Omega$ $14\Omega$ $6\Omega$ $16\Omega$

$14\Omega$

$ \text{Sensitivity is given by }S = \frac{\theta}{I}$ $ S_1 = \frac{\theta}{I} , S_2 = \frac{\theta}{I_g}$ $\text{It is given that }\frac{S_1}{S_2} = 30$ $ \Rightarrow \frac{I}{I_g} = 30$ $\text{The Shunt } R_s = \frac{I_g R_g}{I - I_g} = \frac{406}{29} = 14\Omega$