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JEE Main 2024 (31 Jan, Shift 1) · Electric Field & Field Lines

Electric Field & Field Lines question from JEE Main 2024 (31 Jan, Shift 1)

Q11JEE Main 2024 · 31 JAN · SHIFT 1Easy

Electric Field & Field Lines

Two charges $q$ and $3q$ are separated by a distance ' $r$ ' in air. At a distance $x$ from charge $q$ , the resultant electric field is zero. The value of $x$ is:

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Answer: (c)

For like charges the null point lies between them: $\dfrac{kq}{x^2} = \dfrac{k(3q)}{(r-x)^2}$ .
$\dfrac{r-x}{x} = \sqrt{3} \Rightarrow x = \dfrac{r}{1+\sqrt{3}}$
So the answer is (c) $\dfrac{r}{1+\sqrt{3}}$ .

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