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Question:

A, B and C are voltmeters of resistance R, 1.5 R and 3R respectively as shown in the figure. When some potential difference is applied between X and Y, the voltmeter readings are VA, VB and VC respectively. Then

VA≠VB=VC

VA=VB≠VC

VA≠VB≠VC

VA=VB=VC

Solution:

As Resistance B and C are in parallel:
VB=VC
the equivalent resistance of resistor B and C=R1R2R1+R2
Req=(1.5×31.5+3)×R=RΩ
as resistance A and Req are equal, potential drop in each resistor will be equal.
⇒VA=VB=VC
hence, correct answer is option C