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← JEE Main 2022 · 26 Jul · Shift 1
PhysicsInteger+4 / -1Question 56 of 90

JEE Main 2022 · 26 Jul · Shift 1, Physics question 56

Resistances are connected in a meter bridge circuit as shown in the figure. The balancing length l1l_1 is 40 cm. Now an unknown resistance xx is connected in series with P and new balancing length is found to be 80 cm measured from the same end. Then the value of xx will be ______ Ω\Omega.

Metre bridge AC with P = 4 Ω in the left gap and Q in the right gap, galvanometer G from B to the jockey J at l1 from A, cell E and key K across the wire.
Answer and worked solution

Official answer: 20

Balance. PQ=4060\frac PQ=\frac{40}{60}, Q=6Q=6 Ω. New. 4+x6=8020\frac{4+x}6=\frac{80}{20}, x=20x=20 Ω.

Answer: 20