In half deflection method, the resistance of resistance box in series with the galvanometer is 10,000 $Ω$ . When the galvanometer is shunted with 10 $Ω$ resistance, its reading drops to half the initial value. The resistance of galvanometer is:-

Option 1 - 5 <math> <mrow> <mi>Ω</mi> </mrow> </math>

Option 2 - 10 <math> <mrow> <mi>Ω</mi> </mrow> </math>

Option 3 - 20 <math> <mrow> <mi>Ω</mi> </mrow> </math>

Option 4 - 25 <math> <mrow> <mi>Ω</mi> </mrow> </math>

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Vishal Baghel | Contributor-Level 10

5 months ago

Correct Option - 2

Detailed Solution:

$i = \frac{v}{R + G}$

$\frac{i}{2} = \frac{v}{\frac{S G}{S + G} + R} * \frac{S}{S + G}$

$\Rightarrow \frac{2 S}{S G + R G + R S} = \frac{1}{R + G}$

$\frac{S R}{R - S} = G$

R > > S

$\Rightarrow G \approx S$

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In half deflection method, the resistance of resistance box in series with the galvanometer is 10,000 Ω . When the galvanometer is shunted with 10 Ω resistance, its reading drops to half the initial value. The resistance of galvanometer is:-

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