Coulomb force F versus (\frac{1}{r^2}) graphs for two pairs ...

CBSE Class 12 Physics 2024 All Sets Solved Paper

Question : 1 of 14

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Coulomb force F versus

(\;{1}/{r^2})

graphs for two pairs of point charges

\text "(q_1 and q_2)"

and

\text "(q_2 and q_3)"

are shown in the figure. The ratio of charges

( \;{q_1}/{q_3})

is:

Solution:

F = \;{kq_1q_2}/{r^2}

F \ v\/s\ \;{1}/{r^2}

\;{kq_1q_2}/{kq_2q_3} = \;{\tan 30^∘}/{\tan 60^∘}

\;{q_1}/{q_3} = \;{\;{1}/{√ 3}}/{√ 3}

\;{q_1}/{q_3} = \;{1}/{√ 3} × \;{1}/{√ 3}

\;{q_1}/{q_3} = \;{1}/{3}

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