Magnetic Effects Of Current Question 375

Question: There exists a uniform and electric field of magnitude 1T and 1V/m respectively along positive y-axis. A charged particle of mass 1 kg and charge 1 C moving with velocity 1 m/sec along x-axis is at origin at $ t=0 $ . If the coordinates of particle at time $ \pi $ seconds is given as (X, Y, Z) in meter, then find the value of $ ( XY+YZ+ZX )\times \frac{5}{{{\pi }^{2}}} $ .

Solution:

Answer: 5.00