| 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 \[\frac{1}{\sqrt{3}}\] times of the projected velocity, at this moment is (Assume gravity to be absent) - |
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A) \[\frac{\sqrt{3}}{2}R\]
B) \[\sqrt{3}\,R\]
C) \[\frac{1}{2}R\]
D) \[4R\]
Correct Answer: A
Solution :
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| Force F acting on +2q passes through Q so \[\tau \] of force F about Q = 0 |
| Angular momentum about Q remain conserved |
| \[{{L}_{i}}={{L}_{f}}\] |
| \[mVR\,\,\sin 30{}^\circ =m{{V}_{1}}d\] |
| \[\frac{mVR}{2}=\frac{mVd}{\sqrt{3}}\] |
| \[d=\frac{\sqrt{3}R}{2}\] |
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