Select Chapter Topics:

# A spherical conductor of radius $$10~\text{cm}$$ has a charge of $$3.2 \times 10^{-7}~\text{C}$$ distributed uniformly. What is the magnitude of the electric field at a point $$15~\text{cm}$$ from the center of the sphere? $$\frac{1}{4\pi \varepsilon _0} = 9\times 10^9~\text{N-m}^2/\text{C}^2$$ 1. $$1.28\times 10^{5}~\text{N/C}$$ 2. $$1.28\times 10^{6}~\text{N/C}$$ 3. $$1.28\times 10^{7}~\text{N/C}$$ 4. $$1.28\times 10^{4}~\text{N/C}$$

Subtopic:  Electric Field |
64%
From NCERT
NEET - 2020
To view explanation, please take trial in the course.
NEET 2025 - Target Batch
Hints
To view explanation, please take trial in the course.
NEET 2025 - Target Batch

The electric field at a point on the equatorial plane at a distance $$r$$ from the centre of a dipole having dipole moment $\stackrel{}{}$$$\overrightarrow{P}$$ is given by:
($$r\gg$$ separation of two charges forming the dipole, $$\epsilon_{0} =$$ permittivity of free space)
1. $$\overrightarrow{E}=\frac{\overrightarrow{P}}{4\pi \epsilon _{0}r^{3}}$$

2. $$\overrightarrow{E}=\frac{2\overrightarrow{P}}{\pi \epsilon _{0}r^{3}}$$

3. $$\overrightarrow{E}=-\frac{\overrightarrow{P}}{4\pi \epsilon _{0}r^{2}}$$

4. $$\overrightarrow{E}=-\frac{\overrightarrow{P}}{4\pi \epsilon _{0}r^{3}}$$

Subtopic:  Electric Dipole |
62%
From NCERT
NEET - 2020
To view explanation, please take trial in the course.
NEET 2025 - Target Batch
Hints
To view explanation, please take trial in the course.
NEET 2025 - Target Batch

The acceleration of an electron due to the mutual attraction between the electron and a proton when they are $$1.6~\mathring{A}$$ apart is:
$$\frac{1}{4 \pi \varepsilon_0}=9 \times 10^9~ \text{Nm}^2 \text{C}^{-2}$$ )

 1 $$10^{24} ~\text{m/s}^2$$ 2 $$10^{23} ~\text{m/s}^2$$ 3 $$10^{22}~\text{m/s}^2$$ 4 $$10^{25} ~\text{m/s}^2$$
Subtopic:  Coulomb's Law |
75%
From NCERT
NEET - 2020
To view explanation, please take trial in the course.
NEET 2025 - Target Batch
Hints
To view explanation, please take trial in the course.
NEET 2025 - Target Batch

A sphere encloses an electric dipole with charges $$\pm3\times10^{-6}$$ C. What is the total electric flux through the sphere?
1. $$-3\times10^{-6}$$ N-m2/C
2. zero
3. $$3\times10^{-6}$$ N-m2/C
4. $$6\times10^{-6}$$ N-m2/C

Subtopic:  Gauss's Law |
89%
From NCERT
NEET - 2019
To view explanation, please take trial in the course.
NEET 2025 - Target Batch
Hints
To view explanation, please take trial in the course.
NEET 2025 - Target Batch

The electric field at a distance $$\frac{3R}{2}$$ from the centre of a charged conducting spherical shell of radius $$R$$ is $$E$$. The electric field at a distance $$\frac{R}{2}$$ from the centre of the sphere is:
1. $$E$$
2. $$\frac{E}{2}$$
3. $$\frac{E}{3}$$
4. zero

Subtopic:  Gauss's Law |
84%
From NCERT
AIPMT - 2010
To view explanation, please take trial in the course.
NEET 2025 - Target Batch
Hints
To view explanation, please take trial in the course.
NEET 2025 - Target Batch

A hollow conducting sphere of radius $$1~\text{m}$$ is given a positive charge of $$10~\mu\text{C}$$. The electric field at the centre of the hollow sphere will be:
1. $$60\times10^{3}~\text{Vm}^{-1}$$
2. $$90\times10^{3}~\text{Vm}^{-1}$$
3. zero
4. infinite

Subtopic:  Gauss's Law |
93%
From NCERT
AIPMT - 1998
To view explanation, please take trial in the course.
NEET 2025 - Target Batch
Hints
To view explanation, please take trial in the course.
NEET 2025 - Target Batch

The electric field at centre $$O$$ of a semicircle of radius $$a$$ having linear charge density $$\lambda$$ is given by:

1. $$\frac{2\lambda}{\epsilon_0 a}$$
2. $$\frac{\lambda\pi}{\epsilon_0 a}$$
3. $$\frac{\lambda}{2\pi \epsilon_0 a}$$
4. $$\frac{\lambda}{\pi \epsilon_0 a}$$

Subtopic:  Electric Field |
82%
From NCERT
AIPMT - 2000
To view explanation, please take trial in the course.
NEET 2025 - Target Batch
Hints
To view explanation, please take trial in the course.
NEET 2025 - Target Batch

If a charge $$Q$$ is situated at the corner of a cube, the electric flux passing through all six faces of the cube is:

 1 $$\frac{Q}{6\varepsilon_0}$$ 2 $$\frac{Q}{8\varepsilon_0}$$ 3 $$\frac{Q}{\varepsilon_0}$$ 4 $$\frac{Q}{2\varepsilon_0}$$

Subtopic:  Gauss's Law |
67%
From NCERT
AIPMT - 2000
To view explanation, please take trial in the course.
NEET 2025 - Target Batch
Hints
To view explanation, please take trial in the course.
NEET 2025 - Target Batch

Who evaluated the mass of electron indirectly with help of charge:
1. Thomson
2. Millikan
3. Rutherford
4. Newton

Subtopic:  Electric Charge |
77%
From NCERT
AIPMT - 2000
To view explanation, please take trial in the course.
NEET 2025 - Target Batch
Hints
To view explanation, please take trial in the course.
NEET 2025 - Target Batch

A charge $$q$$ is placed in a uniform electric field $$E.$$ If it is released, then the kinetic energy of the charge after travelling distance $$y$$ will be:
1. $$qEy$$
2. $$2qEy$$
3. $\frac{qEy}{2}$
4. $\sqrt{qEy}$

Subtopic:  Electric Field |
75%
From NCERT
AIPMT - 1998
To view explanation, please take trial in the course.
NEET 2025 - Target Batch
Hints