Suppose you have two charged particles. If you quintuple the charge on one parti

Question

Suppose you have two charged particles. If you quintuple the charge on one particle and drop the charge on the other particle to 1/5 its former value, how must r, the distance between the particles, change if the electrical force between the two particles is to triple? You must drop the distance between the particles by a factor of 1/(3)1/2 You must drop the distanced between the particles by a factor of (3)1/2 You must leave the distance unchanged You must increase the distance between the particles by a factor of 1/(3)1/2 You must increase the distance between the particles by a factor of (3)/12

Explanation / Answer

apply Force mBetween twoi charges as F = kq1q2/r^2

here q1 = 5q1 and q2 = q2/5

so

Fnew = k(5q1) *q2/5)/r^2

Fnew = kq1q2/r^2

as Fnew has to triple

r must decrase by sqrt 3 times

so answer if option a

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