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

1) `V_(3) gt V_(2) gt V_(1)`
2) `V_(2) gt V_(1) gt V_(3)`
3) `V_(3) gt V_(1) gt V_(2)`
4) `V_(1) gt V_(2) gt V_(3)`

Explanation

In series `PD prop R`
When only `S_(1)` is closed `V_(1)=(3R)/(R+3R)(E)=(3)/(4)E=0.75E`
When only `S_(2)` is closed
`V_(2)=(6R)/(6R+R)(E)=(6)/(7)E=0.86E`
and when both `S_(1) and S_(2)` are closed combined resistance of `6R and 3R` is 2R
`therefore V_(3)=(2R)/(2R+R)(E)=((2)/(3))E=0.67E`
`therefore V_(2) gt V_(1) gt V_(3)`