The voltmeters A,B, and C having resistance R, 1.5R and 3R respectively are used in a circuit as shown, When a P.D. is applied between X and Y, the reading of the voltmeters are `V_(1),V_(2)` and `V_(3)` respectively Then

Options

A. `V_(1)=V_(2)=V_(3)`
B. `V_(1)ltV_(2)=V_(3)`
C. `V_(1)gtV_(2)gtV_(3)`
D. `V_(1)gtV_(2)=V_(3)`

Answer

A

Explanation

`V_(1)=IR`
`V_(2)=(2I)/(3)xx1.5R=IR,V_(3)=(I)/(3)xx3R=IR`
`:.V_(1)=V_(2)=V_(3)`