Electrostatics 1 Question 9

9. An electron of mass me, initially at rest, moves through a certain distance in a uniform electric field in time t1. A proton of mass mp, also, initially at rest, takes time t2 to move through an equal distance in this uniform electric field. Neglecting the effect of gravity, the ratio t2/t1 is nearly equal to

(1997, 1M)

(a) 1

(b) (mp/me)1/2

(c) (me/mp)1/2

(d) 1836

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Answer:

Correct Answer: 9. (c)

Solution:

  1. Electrostatic force, Fe=eE (for both the particles)

But acceleration of electron, ae=Fe/me and

acceleration of proton, ap=Fe/mp

S=12aet12=12apt22⇒∴t2t1=aeap=mpme



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