1
JEE Main 2023 (Online) 1st February Morning Shift
+4
-1

Let $$\sigma$$ be the uniform surface charge density of two infinite thin plane sheets shown in figure. Then the electric fields in three different region $$E_{I}, E_{I I}$$ and $$E_{I I I}$$ are:

A
$$\vec{E}_{I}=0, \vec{E}_{I I}=\frac{\sigma}{\epsilon_{0}} \hat{n}, E_{I I I}=0$$
B
$$\vec{E}_{I}=\frac{\sigma}{2 \epsilon_{0}} \hat{n}, \vec{E}_{I I}=0, \vec{E}_{I I I}=\frac{\sigma}{2 \epsilon_{0}} \hat{n}$$
C
$$\vec{E}_{I}=-\frac{\sigma}{\epsilon_{0}} \hat{n}, \vec{E}_{I I}=0, \vec{E}_{I I I}=\frac{\sigma}{\epsilon_{0}} \hat{n}$$
D
$$\vec{E}_{I}=\frac{2 \sigma}{\epsilon_{0}} \hat{n}, \vec{E}_{I I}=0, \vec{E}_{I I I}=\frac{2 \sigma}{\epsilon_{0}} \hat{n}$$
2
JEE Main 2023 (Online) 31st January Evening Shift
+4
-1
Considering a group of positive charges, which of the following statements is correct ?
A
Net potential of the system cannot be zero at a point but net electric field can be zero at that point
B
Net potential of the system at a point can be zero but net electric field can't be zero at that point.
C
Both the net potential and the net electric field cannot be zero at a point.
D
Both the net potential and the net field can be zero at a point.
3
JEE Main 2023 (Online) 31st January Morning Shift
+4
-1

Which of the following correctly represents the variation of electric potential $$(\mathrm{V})$$ of a charged spherical conductor of radius $$(\mathrm{R})$$ with radial distance $$(\mathrm{r})$$ from the center?

A
B
C
D
4
JEE Main 2023 (Online) 30th January Evening Shift
+4
-1
A point source of $100 \mathrm{~W}$ emits light with $5 \%$ efficiency. At a distance of $5 \mathrm{~m}$ from the source, the intensity produced by the electric field component is:
A
$\frac{1}{40 \pi} \frac{W}{m^2}$
B
$\frac{1}{10 \pi} \frac{W}{m^2}$
C
$\frac{1}{20 \pi} \frac{W}{m^2}$
D
$\frac{1}{2 \pi} \frac{W}{m^2}$
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