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) gt V_(3)`

Answer

B

Explanation

`S_(1)` is closed.
`V_(1) = i_(1) xx 3R = E/(4R) xx 3R = (3E)/4 = 0.75 E`
`S_(2)` is closed.
`V_(2) = i_(2) xx 6R = E/(7R) xx 6R = (6E)/7 = 0.86E`