1.

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)

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Solution :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)`


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