`A, B` and `C` are voltmeters of resistances `R, 1.5R` and `3R` respectively. When some potential difference is applied between `x` and `y` the voltmeter readings are `V_A, V_B`and `V_C,` then

Options

A. `V_(A) != V_(B) = V_(C)`
B. `V_(A) = V_(B) != V_(C)`
C. `V_(A) != V_(B) != V_(C)`
D. `V_(A) = V_(B) = V_(C)`

Answer

D

Explanation

As B and C are connnected in parallel so effective resistance of B and C `(1.5)(3R))/(1.5R +R+ 3R) = R`
for series combination `V prop R`
so voltage acros A = voltage across B and C now B and C parellal `V_(B) = V_(C)`
Hence `V_(A) = V_(B) = V_(C)`