Question

An electron and proton enter a magnetic field with same velocity, which of the following is the ratio of
acceleration.
A.me/mp
B.mp/me
C. (me/mp)^1/2
D. (mp/me)^1/2

Answer 1

Explanation:

Electrons and protons have the same magnitude of charge but of opposite signs. Considering the magnitude of force only;

F = q*v*B

Since, q is of same magnitude and v & B is a constant, F experienced by both protons and electrons will be equal, the acceleration will be totally dependent on their masses.

F = m*a

a = F/m

Since, mass of proton is about 1836 times more than that of mass of electron; therefore the acceleration experienced by an electron will be more than that of the proton and the ratio is as follows:

a(e)/a(p) = m(p)/m(e) = 1836

Answer 2

Answer:

me/mp

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