E/m of an electron is given by the relationship.
Correct answer: D. e/m=V/Br
- A. e/m2(VB2r2)
- B. e/m=(V/Br)2
- C. e/m=V.r/B
- D. e/m=V/Br
Explanation
When an electron enters a region in which there is a uniform magnetic field, B, perpendicular to the velocity, v, of the electron (Caution: The capital letter V will be used below to represent voltage. Don't confuse v with V!), the electron experiences a force, F, with a magnitude given by the following equation.F = evB The force is perpendicular to both v and B and its direction can be found by using the right-hand rule. The force will cause the electron to move in a circular orbit with radius r (uniform circular motion). Equating this force to the mass times the centripetal acceleration, we have the equation below.evB = mv2/rSolving Eq. 2 for e/m, we get the following equation.e/m = v/Br
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