A particle having a mass of 10-2 kg carries a charge of 5 10-8 C. The particle is given an initial horizontal velocity of 105 m s-1 in the presence of electric field E and magnetic field B. To keep the particle moving in a horizontal direction, it is necessary that Which one of the following pairs of statements is possible ?
- A and C only
- C and D only
- B and C only
- B and D only
Answer
(3) B and C only
Solution
Force on the particle: F = q E + q( v B) (weight neglected).
B: B v v B = 0; E v force only along the velocity. The particle keeps moving in the same horizontal direction — possible.
C: E B v (crossed fields): the electric and magnetic forces are along the same line and can cancel when qE = qvB (velocity selector) — possible.
A: q( v B) is perpendicular to v and is not balanced by q E (along v) the path bends — not possible.
D: no magnetic force, but q E perpendicular to v deflects the particle — not possible.
B and C are possible.
Answer: (3)