Current Electricity and Electrical InstrumentHard

Question

In the arrangement shown in figure when the switch S2 is open, the galvanometer chows no deflection for . When the switch S2 is closed, the galvanometer shows no deflection for . The internal resistance (r) of 6V cell, and the emf E of the other battery are respectively


Options

A.3Ω, 8V
B.2Ω, 12V
C.2Ω, 24V
D.3Ω, 12V

Solution


When S2 open
Assume resistance of AB = R
Resistance of wire per unit length.
x =
I =
Now in AC
= 6
E = 12 V
When S2 closed
V1 = = 5V
⇒ 6 - I1r = 5 ⇒ 6 -r = 5 ⇒ r = 2Ω

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