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In the arrangement shown in figure when ...

In the arrangement shown in figure when the switch `S_2` is open, the galvanometer shown no deflection for `l=L//2`. When the switch `S_2` is closed, the galvanometer shown no deflection for `l=5L//12`. The internal resistance `(r)` of `6V` cell, and the emf `E` of the other battery are respectively

A

`3 Omega, 8 V`

B

`2 Omega, 12V`

C

`2Omega, 24 V`

D

`3 Omega, 12 V`

Text Solution

Verified by Experts

The correct Answer is:
B
b. When switch `S_1` is open
`6/E = L/2//L= 1/2`
`:. E = 12V`
When switch `S_2` is closed, we get
`(6xx10)/(10+r) = (5L)/(12L) E = 5/12 xx 12 = 5`
`:. 10 + r = 12 or r = 2Omega`
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