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A,B and C are voltmeters of resistance R, 1.5 R and 3R respectively as shown in the fig. When some potential difference is applied between X and Y,the voltmeter reading are $V_{A}, V_{B} a n d V_{C}$ respectively.

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$V_{A} = V_{B} \neq V_{C}$

$V_{A} \neq V_{B} \neq V_{C}$

$V_{A} = V_{B} = V_{C}$

$V_{A} \neq V_{B} = V_{C}$

answer is C.

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Detailed Solution

Effective resistance of B and C = $\frac{(1.5 R) (3 R)}{1.5 R + 3 R} = R$

In series sequence, V $\propto$ R

So voltage across 'A ' = voltage across B and C

Now B and C are parallel so $V_{B} = V_{C}$

$\Rightarrow V_{A} = V_{B} = V_{C}$

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