1
JEE Main 2024 (Online) 29th January Morning Shift
+4
-1

Two charges of $$5 Q$$ and $$-2 Q$$ are situated at the points $$(3 a, 0)$$ and $$(-5 a, 0)$$ respectively. The electric flux through a sphere of radius '$$4 a$$' having center at origin is :

A
$$\frac{2 Q}{\varepsilon_0}$$
B
$$\frac{7 Q}{\varepsilon_0}$$
C
$$\frac{3 Q}{\varepsilon_0}$$
D
$$\frac{5 Q}{\varepsilon_0}$$
2
JEE Main 2024 (Online) 27th January Evening Shift
+4
-1

Given below are two statements : one is labelled as Assertion (A) and the other is labelled as Reason (R).

Assertion (A) : Work done by electric field on moving a positive charge on an equipotential surface is always zero.

Reason (R) : Electric lines of forces are always perpendicular to equipotential surfaces.

In the light of the above statements, choose the most appropriate answer from the options given below :

A
Both (A) and (R) are correct and (R) is the correct explanation of (A)
B
(A) is correct but (R) is not correct
C
Both (A) and (R) are correct but (R) is not the correct explanation of (A)
D
(A) is not correct but (R) is correct
3
JEE Main 2024 (Online) 27th January Morning Shift
+4
-1

An electric charge $$10^{-6} \mu \mathrm{C}$$ is placed at origin $$(0,0)$$ $$\mathrm{m}$$ of $$\mathrm{X}-\mathrm{Y}$$ co-ordinate system. Two points $$\mathrm{P}$$ and $$\mathrm{Q}$$ are situated at $$(\sqrt{3}, \sqrt{3}) \mathrm{m}$$ and $$(\sqrt{6}, 0) \mathrm{m}$$ respectively. The potential difference between the points $\mathrm{P}$ and $\mathrm{Q}$ will be :

A
$$\sqrt{3} \mathrm{~V}$$
B
$$\sqrt{6} \mathrm{~V}$$
C
$$0 \mathrm{~V}$$
D
$$3 \mathrm{~V}$$
4
JEE Main 2023 (Online) 15th April Morning Shift
+4
-1
The electric field due to a short electric dipole at a large distance $(r)$ from center of dipole on the equatorial plane varies with distance as :
A
$\frac{1}{r^{2}}$
B
$\frac{1}{r}$
C
$r$
D
$\frac{1}{r^{3}}$
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