`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

A

Explanation

`B` and `C` are in parallel
`:. V_B=V_C`
Further `R_A=R`
`R_(BC)=((1.5R)(3R))/(1.5R+3R)=R`
or `R_A=R_(BC)`
`:. V_A=V_(BC)`
because `iR_A=iR_(BC)`