Electric Charges and Fields - Result Question 5

5. Two pith balls carrying equal charges are suspended from a common point by strings of equal length. The equilibrium separation between them is r. Now the strings are rigidly

clamped at half the height. The equilibrium separation between the balls now become

[2013]

(a) (r23)

(c) (2r3) (b) (2r3)

(d) (r2)2

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Answer:

Correct Answer: 5. (a)

Solution:

  1. (a)

Tcosθ=mg

Tsinθ=F

tanθ=Fmg

From figure, tanθ=Femg

r/2y=kq2r2mg

[F=kq2r2. from coulomb’s law] r3y

When string is clamped at half the height r3y2

Dividing the above two equations, we have rr=121/3r=r23



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