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Could it also be r2-r1 if it was in the options?? Bqz the same equation can be formed with r2For 36, you have to apply kirchhoff's 2nd law. There are two points where the voltmeter is connected, I will name the point on the right, A and the one on the left, B. So at A, the pd is E because it just came out of the cell and hasn't been used up(I am treating the internal resistances as resistor so that it's easier). This means that the pd at B must also be E since the potential difference is zero between these points. This means that the E at A was used up by the r1 since the more pd(also E) came out of the new cell. So now we can form 2 equations. First one: E=Ir1(just using V=IR), second: 2E=E+I(r2+R) which simplifies to become: E=I(r2+R). Now I can solve them simultaneously. I replace the E in E=I(r2+R) with Ir1(which is my other equation, E=Ir1).
This becomes Ir1=I(r2+R) ----> r1=r2+R ----> r1-r2=R making B the answer.