`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

(a) Effective resistance of `B` and
`= (R_(B). R_(C ))/(R_(B) + R_(C )) = (1.5 R xx 3 R)/(1.5 R + 3 R) = (4.5 R^(2))/(4.5 R) = R`
That is, equal to resistance of voltmeter `A`.
In parallel potential difference is the same, so `V_(B) = V_(C )`
and in series current is same
So, `V_(A) = V_(B) = C`