MHT CET 2022 Physics question

PhysicsElectromagnetic InductionMHT CET 2022

An air-cored solenoid with length 30 cm, area of cross-section 25 cm and number of turns 500 carries a current of 2.5A. The current is suddenly switched off for a brief time of s. How much is the (nearly) average back e.m.f. induced across the ends of the open switch in the circuit? (Ignore the variation of magnetic field near the ends of solenoid)

Answer: (B)

Solution

Self-inductance of an air-cored solenoid: H. The current falls from 2.5 A to 0 in s, so the average back e.m.f. is

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Question ID VK-093465