Physics · Electrostatics

JEE Main 2024 — 31 January, Shift 2 — Question 54

The distance between charges +q and -q is 2l2 l and between +2 q and -2 q is 4l4 l. The electrostatic potential at point P at a distance r from centre O is −α[qlr2]×109V,-\alpha\left[\frac{q l}{r^{2}}\right] \times 10^{9} V, \quad where the value of α\alpha is __________\_\_\_\_\_\_\_\_\_\_ (Use 14πε0=9×109Nm2C−2\frac{1}{4 \pi \varepsilon_{0}}=9 \times 10^{9} \mathrm{Nm}^{2} \mathrm{C}^{-2} )

Question figure

Answer: 27

Numerical answer — enter this value.

Step-by-step solution

V=Kp⃗⋅r⃗r3=9×109(6qℓ)r2cos⁡(120∘)V=\frac{K \vec{p} \cdot \vec{r}}{\mathrm{r}^{3}}=\frac{9 \times 10^{9}(6 q \ell)}{\mathrm{r}^{2}} \cos \left(120^{\circ}\right) =−(27)(qℓr2)×109Nm2c−2=-(27)\left(\frac{\mathrm{q} \ell}{\mathrm{r}^{2}}\right) \times 10^{9} \mathrm{Nm}^{2} \mathrm{c}^{-2} ⇒α=27\Rightarrow \alpha=27

Solution figure

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Exam
JEE Main 2024
Subject
Physics
Chapter
Electrostatics
Topic
Electric Dipole
The distance between charges +q and -q is 2 l and between +2 q and -2… | JEE Main 2024 PYQ with Solution · DhiX AI