Question

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 .

A. `V_3gtV_2gtV_1`
B. `V_2gtV_1gtV_3`
C. `V_3gtV_1gtV_2`
D. `V_1gtV_2gtV_3`

Answer 1

Correct Answer - B
b. `V = (R_1E)/(R+R_1) = E/(1+R//R_1)`
If `S-1` is closed : `R_(1) = 3R`
or `V_(1) = 3E//4 = 0.75E`
If `S_(2)` is closed : `R_(1) = 6R`
or `V_(2) = 6E//7 = 0.85E`
If `S_(1) and S_(2)` both are closed,
`R_(1) = 2R or V_(3) = 2E//3 = 0.67E`
or `V_(2)gtV_(1)gtV_(3)`
.