In the figure shown, the ammeter reading will be independent of $R_{2}$ when

$R_{1} + R_{2} = r$

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$R_{1} = 2 r$

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$r = R_{1} - R_{2}$

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$r = 0$

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Solution

The correct option is D
$r = 0$

For the ammeter reading to the independent of $R_{2}$ , p.d. across $R_{1}$ should not change with change in $R_{2}$ . This will happen when $r = 0$ .

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