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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,8V`

B

`2 Omega,12 V`

C

`2 Omega,24 V`

D

`3 Omega,12 V`

Text Solution

Verified by Experts

The correct Answer is:
B
Internal resistance `r=(l_(1)-l_(2))/(l_(2))xxR`
`((L//2)-(5L//12))/(5L//12)xx10=2 Omega`
Emf of cell
By keeping `S_(2)` open `6=E/LxxL/2`
`E=12 V`
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