In the circuit shown in figure, reading of voltmeter is `V_1` when only `S_1` is closed, reading of voltmeter is `V_2` when only `S_2` is closed, and reading of voltmeter is `V_3` when both `S_1 and S_2` are closed. Then .

Options

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

Answer

B

Explanation

when only `S_(1)` is closed
Reading `=((R )/(R+3R))3R=(3E)/(4)=0.75E`
when only `S_(2) ` is closed
Reading `=((E )/(R +6R ))xx6R=(6E )/(7 ) = 0.85 E `
when both `S_(1)&S_(2)` are closed
Reading `=((E )/(R+2R ))xx2R=(2E)/(3)=0.67 E `
`implies V_(2)gt V_(1)gt V_(3)`