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A, B and C are voltmeters of resistance R, 1.5R and 3R 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

Asked in CBSE AIPMT 2015 (cancelled) · Ammeters and voltmeters in circuits

Figure: Ammeters and voltmeters in circuits
Answer: (3) V_A=V_B=V_C

Step-by-step solution

B and C are in parallel, so V_B=V_C.

Their combined resistance: (1.5R×3R)/(1.5R+3R)=(4.5R²)/(4.5R)=R.

This R is in series with A (also R), so the applied voltage splits equally.

Hence V_A=V_B=V_C.

Why the other options are wrong

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