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:

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:, V A = V B = V C, V A ≠ V B = V C, V A = V B ≠ V C, V A ≠ V B ≠ V C

MARKS App · Accepted Answer

Voltage in parallel is constant $\begin{aligned} & i_P=i_B+i_C V_B=V_c \ & \frac{V_p}{R_i}=\frac{V_B}{R_B}+\frac{V_C}{R_C} \ & \frac{1}{R_p}=\frac{1}{R_B}+\frac{1}{R_C} \Rightarrow \frac{1}{R \prime}=\frac{2}{3 R}+\frac{1}{3 R} \ \Rightarrow R^{\prime} & =R \ & V_{X P}=V_A=i R \ & V_{P Q}=V_B=V_C=i R \ \Rightarrow V_A & =V_B=V_C \end{aligned}$

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