1
JEE Main 2023 (Online) 29th January Morning Shift
+4
-1

In a cuboid of dimension $$2 \mathrm{~L} \times 2 \mathrm{~L} \times \mathrm{L}$$, a charge $$q$$ is placed at the center of the surface '$$\mathrm{S}$$' having area of $$4 \mathrm{~L}^{2}$$. The flux through the opposite surface to '$$\mathrm{S}$$' is given by

A
$$\frac{q}{2 \epsilon_{0}}$$
B
$$\frac{q}{3 \epsilon_{0}}$$
C
$$\frac{q}{12 \epsilon_{0}}$$
D
$$\frac{q}{6 \in_{0}}$$
2
JEE Main 2023 (Online) 25th January Evening Shift
+4
-1

A point charge of 10 $$\mu$$C is placed at the origin. At what location on the X-axis should a point charge of 40 $$\mu$$C be placed so that the net electric field is zero at $$x=2$$cm on the X-axis?

A
$$x=6$$ cm
B
$$x=8$$ cm
C
$$x=4$$ cm
D
$$x=-4$$ cm
3
JEE Main 2023 (Online) 24th January Evening Shift
+4
-1

The electric potential at the centre of two concentric half rings of radii R$$_1$$ and R$$_2$$, having same linear charge density $$\lambda$$ is :

A
$$\frac{\lambda}{2\in_0}$$
B
$$\frac{\lambda}{\in_0}$$
C
$$\frac{2\lambda}{\in_0}$$
D
$$\frac{\lambda}{4\in_0}$$
4
JEE Main 2023 (Online) 24th January Morning Shift
+4
-1

If two charges q$$_1$$ and q$$_2$$ are separated with distance 'd' and placed in a medium of dielectric constant K. What will be the equivalent distance between charges in air for the same electrostatic force?

A
$$d\sqrt k$$
B
$$1\,.\,5d\sqrt k$$
C
$$k\sqrt d$$
D
$$2d\sqrt k$$
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