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Question: In the diagram shown, the charge + Q is fixed. Another charge +2q, is projected from a distance R fr...

In the diagram shown, the charge + Q is fixed. Another charge +2q, is projected from a distance R from the fixed charge. Minimum separation between the two charges if the velocity becomes 13\frac{1}{\sqrt{3}}times of the projected velocity, at this moment is (Assume gravity to be absent)

A

32R\frac{\sqrt{3}}{2}R

B

3R\sqrt{3}R

C

12R\frac{1}{2}R

D

4 R

Answer

32R\frac{\sqrt{3}}{2}R

Explanation

Solution

By conservation of angular momentum about +Q charge m V × sin 300 R = m × V3\frac{V}{\sqrt{3}}× d

̃ d = 32\frac{\sqrt{3}}{2}R