A particle of charge \(q\) and mass \(m\) is projected from origin with an initial velocity \(\vec{v} = \left(\dfrac{v_0}{\sqrt{2}}\hat{x} + \dfrac{v_0}{\sqrt{2}}\hat{y}\right)\). There exists a uniform magnetic field \(\vec{B} = B_0 \hat{z}\) and a space varying electric field \(\vec{E} = E_0 e^{-\lambda x}\hat{x}\) within the region \(0 \leq x \leq L\). After travelling a distance such that \(x\)-coordinate has changed from \(x=0\) to \(x=L\), the change in the kinetic energy is _______.

1. A \(\dfrac{qE_0}{\lambda}[1 - e^{-\lambda L}]\)
2. B \(\left(\dfrac{v_0 q B_0}{2\lambda}\right)[2 - e^{-2\lambda L}]\)
3. C \(\dfrac{qE_0}{\lambda}[1 + e^{-\lambda L}]\)
4. D \(q\left(\dfrac{E_0 + v_0 B_0}{\lambda}\right)[1 - e^{-\lambda L/2}]\)