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← JEE Main 2022 · 24 Jun · Shift 2
PhysicsInteger+4 / -1Question 53 of 90

JEE Main 2022 · 24 Jun · Shift 2, Physics question 53

A potentiometer wire of length 10 m and resistance 20 Ω20\ \Omega is connected in series with a 25 V battery and an external resistance 30 Ω30\ \Omega. A cell of emf E in secondary circuit is balanced by 250 cm long potentiometer wire. The value of E (in volt) is x10\dfrac x{10}. The value of xx is ______.

Answer and worked solution

Official answer: 25

Current. I=2520+30=0.5I=\dfrac{25}{20+30}=0.5 A.

Potential gradient. 0.5×2010=1\dfrac{0.5\times20}{10}=1 V m−1^{-1}.

Emf. E=1×2.5=2.5E=1\times2.5=2.5 V =2510=\dfrac{25}{10}, so x=25x=25.

Answer: 25