A particle of charge q and mass m is projected from origin with an initial velocity v=(v₀/(2) x+v₀/(2) y). There exists a uniform magnetic field B=B₀ z and a space varying electric field E=E₀e^(-λ x) x within the region 0≤ x≤ L. After travelling a distance such that x -coordinate has changed from x=0 to x=L, the change in the kinetic energy is _ _ _.

(B) (v₀qB₀/(2λ))[2-e^(-2λ L)]

(D) q((E₀+v₀B₀)/(λ))[1-e^(-λ L/2)]

Magnetic Effects of Current and Magnetism: JEE Main 2026 Physics question

JEE Main 2026 · 5 Apr, Evening shift · Q38

JEE Main 20265 Apr, Evening shiftPhysicsMediumMagnetic Effects of Current and Magnetism165× since 2002

A particle of charge

q

and mass

m

is projected from origin with an initial velocity

\vec v=\left(\frac{v_0}{\sqrt2}\hat x+\frac{v_0}{\sqrt2}\hat y\right)

. There exists a uniform magnetic field

\vec B=B_0\hat z

and a space varying electric field

\vec E=E_0e^{-\lambda x}\hat x

within the region

0\le x\le L

. After travelling a distance such that

x

-coordinate has changed from

x=0

x=L

, the change in the kinetic energy is ______.

JEE Main 2026 Magnetic Effects of Current and Magnetism Question with Solution (5 Apr Evening shift, Q38) | JEE Arc