Q103 / 150 · MHT CET 2017 · Physics

Sensitivity of moving coil galvanometer is $s$ . If a shunt of ${(\frac{1}{8})}^{t h}$ of the resistance of galvanometer is connected to moving coil galvanometer, its sensitivity becomes

A
$\frac{s}{3}$
B
$\frac{s}{6}$
Correct answer
C
$\frac{s}{9}$
D
$\frac{s}{12}$

Solution

S = \frac{G}{8}, S = \frac{G}{n - 1}

\frac{G}{8} = \frac{G}{n - 1}

∴ 8 = n - 1

∴ n = 8 + 1 = 9

Since range of galvanometer has increased nine times its sensitivity reduces to

\frac{1}{9}

.

∴ S' = \frac{s}{9}

Hence, the correct answer is option: 'C'.

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