Question

$A, B$ and $C$ are voltmeters of resistance $R, 1.5 \,R$ and $3 R$ respectively as shown in the figure. When some potential difference is applied between $X$ and $Y$, the voltmeter readings are $V_{A}$, $V_{B}$ and $V_{C}$ respectively. Then

• A. $V_{A}=V_{B} \neq V_{C}$
• B. $V_{A} \neq V_{B} \neq V_{C}$
• C. $V_{A}=V_{B}=V_{C}$
• D. $V_{A} \neq V_{B}=V_{C}$

Answer 1

Answer: (C)

The current flowing in the different branches of circuit is indicated in the figure.

$V_{A}=I R$
$V_{B}=\frac{2 I}{3} \times \frac{3}{2} R=I R$
$V_{C}=\frac{I}{3} \times 3 R=I R$
Thus, $V_{A}=V_{B}=V_{C}$