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Question 38

A particle of charge $$q$$ and  mass $$m$$ is projected  from origin with an initial velocity has  $$\vec{v} = \frac{v_0}{\sqrt{2}}\hat{x} + \frac{v_0}{\sqrt{2}}\hat{y}$$.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_________.

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