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CBSE Class 12 Physics 2024 All Sets Solved Paper

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Question : 1 of 14
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Coulomb force F versus ( 1r2)\left(\,\frac{1}{r^{2}}\right) graphs for two pairs of point charges (q1 and q2)(q_1 \text{ and } q_2) and (q2 and q3)(q_2 \text{ and } q_3) are shown in the figure. The ratio of charges ( q1q3)\left(\,\frac{q_1}{q_3}\right) is:
Solution:  
F= kq1q2r2F = \,\frac{k q_1 q_2}{r^{2}}
F v/s 1r2F \text{ v/s } \frac{1}{r^{2}}
kq1q2kq2q3=tan⁡30∘tan⁡60∘\frac{k q_1 q_2}{k q_2 q_3} = \frac{\tan 30^{\circ}}{\tan 60^{\circ}}
q1q3=133\frac{q_1}{q_3} = \frac{ \frac{1}{\sqrt{3}} }{ \sqrt{3} }
q1q3=13×13\frac{q_1}{q_3} = \frac{1}{\sqrt{3}} \times \frac{1}{\sqrt{3}}
q1q3=13\frac{q_1}{q_3} = \frac{1}{3}
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