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Question

The electric field lines for a system of two charges $Q_{1}$ and $Q_{2}$ fixed at two different points on the $x-$ axis are as shown in the figure. Then $\frac{Q_{1}}{Q_{2}}$ might be

A

\frac{9}{13}

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B

\frac{13}{9}

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C

impossible to determine

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D

1

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Solution

The correct option is B $\frac{13}{9}$
As we know that, number of electric field lines going out or coming in a charge is directly proportional to the magnitude of that charge, $Q$ .

Hence, we can write,

$\frac{Q_{1}}{Q_{2}} = \frac{(no. of electric field line going out at Q_{1})}{(no. of electric field line coming in at Q_{2})}$

$∴ \frac{Q_{1}}{Q_{2}} = \frac{13}{9}$

Hence, option (a) is correct answer.

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