A metal rod of length L rotates about one end at origin with a uniform angular velocity ω. The magnetic field radially falls off as B(r)=B₀e^(-λ r); λ being a positive constant. The emf induced (neglecting the centripetal force on electrons in the rod) is:

(A) B₀ω[ 1λ²-e^(-λ L)(1λ²+ Lλ)]

(B) B₀ω[ 1λ²+e^(-λ L)(1λ²+ Lλ)]

(C) B₀ω[ 4λ²-e^(-2λ L)(1λ²+ 2L λ)]

(D) B₀ω[ 3λ²-e^(-3λ L)(3λ²+ Lλ)]

Electromagnetic Induction and Alternating Currents: JEE Main 2026 Physics question

JEE Main 2026 · 5 Apr, Evening shift · Q36

JEE Main 20265 Apr, Evening shiftPhysicsMediumElectromagnetic Induction and Alternating Currents149× since 2002

A metal rod of length

L

rotates about one end at origin with a uniform angular velocity

\omega

. The magnetic field radially falls off as

B(r)=B_0e^{-\lambda r}

;

\lambda

being a positive constant. The emf induced (neglecting the centripetal force on electrons in the rod) is :

JEE Main 2026 Electromagnetic Induction and Alternating Currents Question with Solution (5 Apr Evening shift, Q36) | JEE Arc