In the circuit, the galvanometer  G   shows zero deflection. If the batteries A and B  have negligible internal resistance the value of the resistor  R   will be  

 

  • Option 1)

    500\Omega

  • Option 2)

    1000\Omega

  • Option 3)

    200\Omega

  • Option 4)

    100\Omega

 

Answers (2)
V Vakul

As we discussed in

Current through any resistance -

i'=i(\frac{Resistance\, of \, opposite \, Branch}{total\, Resistance})

- wherein

 

I_{1}=I_{2}

\frac{12}{500+R}=\frac{2}{R}

=>12R =1000+2R

\therefore R=100 \Omega

 


Option 1)

500\Omega

This answer is incorrect.

Option 2)

1000\Omega

This answer is incorrect.

Option 3)

200\Omega

This answer is incorrect.

Option 4)

100\Omega

This answer is correct.

N neha

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