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← JEE Main 2022 · 30 Jun · Shift 1
PhysicsInteger+4 / -1Question 56 of 90

JEE Main 2022 · 30 Jun · Shift 1, Physics question 56

The circuit diagram of potentiometer used to measure the internal resistance of a cell (E) is shown in figure. The key 'K' is kept closed so as to send constant current through potentiometer wire. When key 'K1K_1' is kept open the null point is found to be at 120 cm on the potentiometer wire. When the key 'K1K_1' is closed the null point is shifted at 80 cm at the potentiometre wire. The internal resistance of the given cell is ______ Ω\Omega.

Potentiometer: a 4 V driver cell, key K and rheostat Rh across wire AB; the test cell E = 1.5 V with a 4 Ω resistor and key K1 across it, connected from A through a galvanometer G to a jockey on the wire.
Answer and worked solution

Official answer: 2

Internal resistance. r=R(l1l2−1)=4(12080−1)=2r=R\left(\frac{l_1}{l_2}-1\right)=4\left(\frac{120}{80}-1\right)=2 Ω.

Answer: 2