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A voltmeter resistance $R_{V}$ and an ammeter of resistance $R_{A}$ are connected in series across a battery of emf E and of negligible internal resistance. When a resistance R is connected in parallel to voltmeter, reading of ammeter increases to three times while that of voltmeter reduces to one-third. Choose correct statement(s)

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The value of $R_{A} i s \frac{8}{3} R$

The value of $R_{A} i s \frac{10}{3} R$

The value of $R_{V}$ is 8R

The voltmeter and ammeter are not ideal

answer is A, C, D.

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Detailed Solution

$I R_{A} + I R_{V} = E ...... (1) \frac{1}{3} R_{V} - \frac{8 I R}{3} = 0 R_{V} = 8 R ...... (2) E - \frac{I R_{V}}{3} - 3 I R_{A} = 0 ...... (3)$

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