1
JEE Main 2023 (Online) 6th April Evening Shift
+4
-1

A dipole comprises of two charged particles of identical magnitude $$q$$ and opposite in nature. The mass 'm' of the positive charged particle is half of the mass of the negative charged particle. The two charges are separated by a distance '$$l$$'. If the dipole is placed in a uniform electric field '$$\bar{E}$$'; in such a way that dipole axis makes a very small angle with the electric field, '$$\bar{E}$$'. The angular frequency of the oscillations of the dipole when released is given by:

A
$$\sqrt{\frac{3 q E}{2 m l}}$$
B
$$\sqrt{\frac{4 q E}{m l}}$$
C
$$\sqrt{\frac{8 q E}{3 m l}}$$
D
$$\sqrt{\frac{8 q E}{m l}}$$
2
JEE Main 2023 (Online) 6th April Morning Shift
+4
-1

For a uniformly charged thin spherical shell, the electric potential (V) radially away from the centre (O) of shell can be graphically represented as -

A
B
C
D
3
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
$$\vec{E}_{I}=\frac{2 \sigma}{\epsilon_{0}} \hat{n}, \vec{E}_{I I}=0, \vec{E}_{I I I}=\frac{2 \sigma}{\epsilon_{0}} \hat{n}$$
4
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.
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