1.
A large metal sheet placed at z=0z = 0 in the xx-yy plane carries current per unit width equal to λ\lambda in the positive yy-direction along its surface such that it produces magnetic field BB. A charged particle (of mass mm and charge qq) at (2,3,5)(2, 3, 5) is projected with velocity 2i^+3j^+5k^2\hat{i} + 3\hat{j} + 5\hat{k} units. Coordinates of the particle when for the first time velocity of the particle is again the same are (X,Y,Z)(X, Y, Z). Then