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Q.

In the circuit, the galvanometer G shows zero deflection. If the batteries A and B have negligible internal resistance, the value of the resistor R will be : -

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a

$1000 Ω$

b

$200 Ω$

c

$100 Ω$

d

$500 Ω$

answer is A.

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Detailed Solution

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$12 - 2 = (500 Ω) i \Rightarrow i = \frac{10}{500} = \frac{1}{50}$

Again $i = \frac{12}{500 + R} = \frac{1}{50}$

$\Rightarrow 500 + R = 600$

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