In a certain region of space, there exists a uniform and constant electric field of strength E along x-axis and uniform constant magnetic field of induction B along z-axis. A charged particle having charge q and mass m is projected with speed v parallel to x-axis from a point (a, b, 0). When the particle reaches a point 2a, b/2, 0 its speed becomes 2v. Find the value of electric field strength in terms of m, v and co-ordinates.
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a
32mv2qa
b
mv2qB
c
2mv2qBa
d
32vB
answer is A.
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Detailed Solution
Change in kinetic energy is only due to work done by electric field. Hence work done by electric field is change in KE:qEa=12m(2v)2-v2⇒E=3mv22qa