If the net electric field at point P along Y axis is zero, then the ratio of frac q 2 q 3 is frac 8 5 sqrt x , where x =

Physics · Electrostatics

JEE Main 2024 — 8 April, Shift 2 — Question 50

If the net electric field at point P along Y axis is zero, then the ratio of $\left|\frac{\mathrm{q}_{2}}{\mathrm{q}_{3}}\right|$ is $\frac{8}{5 \sqrt{\mathrm{x}}}$ , where $\mathrm{x}=$ $\qquad$

Answer: 5

Numerical answer — enter this value.

Step-by-step solution

$\frac{\mathrm{Kq}_{2}}{20} \cos \beta=\frac{\mathrm{Kq}_{3}}{25} \cos \theta$

$\frac{\mathrm{Kq}_{2}}{20} \frac{4}{\sqrt{20}}=\frac{\mathrm{Kq}_{3}}{25} \frac{4}{\sqrt{25}}$

$\frac{\mathrm{q}_{2}}{\mathrm{q}_{3}}=\frac{20}{25} \sqrt{\frac{20}{25}}=\frac{8}{5 \sqrt{\mathrm{x}}}$

$\Rightarrow \sqrt{\mathrm{x}}=\frac{8 \times 25 \sqrt{25}}{5 \times 20 \sqrt{20}}$ $\mathrm{x}=5$

Answer key and solution verified before publishing.

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Exam: JEE Main 2024
Paper: 8 April, Shift 2
Subject: Physics
Chapter: Electrostatics
Topic: Electrostatic Field & motion of charge