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In the circuit shown in figure reading o...

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`

Text Solution

Verified by Experts

The correct Answer is:
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)`
.
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