When a particle with charge $$+q$$ is thrown with an initial velocity $$v$$ towards another stationary change $$+Q,$$ it is repelled back after reaching the nearest distance $$r$$ from $$+Q.$$ The closest distance that it can reach if it is thrown with an initial velocity $$2v,$$ is:

 1 $$\frac{r}{4}$$ 2 $$\frac{r}{2}$$ 3 $$\frac{r}{16}$$ 4 $$\frac{r}{8}$$
Subtopic:  Electric Potential Energy |
67%
From NCERT
NEET - 2022
To view explanation, please take trial in the course.
NEET 2023 - Target Batch - Aryan Raj Singh
Hints
To view explanation, please take trial in the course.
NEET 2023 - Target Batch - Aryan Raj Singh

Six charges $$+q,$$ $$-q,$$ $$+q,$$ $$-q,$$ $$+q$$ and $$-q$$ are fixed at the corners of a hexagon of side $$d$$ as shown in the figure. The work done in bringing a charge $$q_0$$ to the centre of the hexagon from infinity is:
($$\varepsilon_0-$$permittivity of free space)

1. zero
2. $$\frac{-q^2}{4\pi\varepsilon_0d}$$
3. $$\frac{-q^2}{4\pi\varepsilon_0d}\Big(3-\frac{1}{\sqrt2}\Big)$$
4. $$\frac{-q^2}{4\pi\varepsilon_0d}\Big(6-\frac{1}{\sqrt2}\Big)$$
Subtopic:  Electric Potential Energy |
82%
From NCERT
NEET - 2022
To view explanation, please take trial in the course.
NEET 2023 - Target Batch - Aryan Raj Singh
Hints
To view explanation, please take trial in the course.
NEET 2023 - Target Batch - Aryan Raj Singh

Charges +q and –q are placed at points A and B, respectively; which are at a distance 2L apart. C is the midpoint between A and B. The work done in moving a charge +Q along the semicircle CRD is:

1. $\frac{qQ}{4{\mathrm{\pi \epsilon }}_{0}\mathrm{L}}$
2. $\frac{qQ}{2{\mathrm{\pi \epsilon }}_{0}\mathrm{L}}$
3. $\frac{qQ}{6{\mathrm{\pi \epsilon }}_{0}\mathrm{L}}$
4. $-\frac{qQ}{6{\mathrm{\pi \epsilon }}_{0}\mathrm{L}}$

Subtopic:  Electric Potential Energy |
59%
From NCERT
AIPMT - 2007
To view explanation, please take trial in the course.
NEET 2023 - Target Batch - Aryan Raj Singh
Hints
To view explanation, please take trial in the course.
NEET 2023 - Target Batch - Aryan Raj Singh

Two charges q1 and q2 are placed 30 cm apart, as shown in the figure. A third charge q3 is moved along the arc of a circle of radius 40 cm from C to D. The change in the potential energy of the system is $\frac{{\mathrm{q}}_{3}}{4\mathrm{\pi }{\in }_{0}}\mathrm{k}$ , where k is:

.

1. 8q2

2. 6q2

3. 8q1

4. 6q1

Subtopic:  Electric Potential Energy |
65%
From NCERT
AIPMT - 2005
To view explanation, please take trial in the course.
NEET 2023 - Target Batch - Aryan Raj Singh
Hints
To view explanation, please take trial in the course.
NEET 2023 - Target Batch - Aryan Raj Singh

As per this diagram, a point charge $$\mathrm{+q}$$ is placed at the origin $$\mathrm{O}.$$ Work done in taking another point charge $$\mathrm{-Q}$$ from the point $$\mathrm{A},$$ coordinates $$(\mathrm{0,a}),$$ to another point $$\mathrm{B},$$ coordinates $$(\mathrm{a,0}),$$ along the straight path $$\mathrm{AB}$$ is:

 1 $$\left(\frac{-\mathrm{qQ}}{4 \pi \varepsilon_0} \frac{1}{\mathrm{a}^2}\right) \sqrt{2} \mathrm{a}$$ 2 zero 3 $$\left(\frac{\mathrm{qQ}}{4 \pi \varepsilon_0} \frac{1}{\mathrm{a}^2}\right) \frac{1}{\sqrt{2}}$$ 4 $$\left(\frac{\mathrm{qQ}}{4 \pi \varepsilon_0} \frac{1}{\mathrm{a}^2}\right) \sqrt{2} \mathrm{a}$$
Subtopic:  Electric Potential Energy |
85%
From NCERT
AIPMT - 2005
To view explanation, please take trial in the course.
NEET 2023 - Target Batch - Aryan Raj Singh
Hints
To view explanation, please take trial in the course.
NEET 2023 - Target Batch - Aryan Raj Singh

If identical charges (–q) are placed at each corner of a cube of side 'b' then the electrical potential energy of charge (+q) which is placed at centre of the cube will be:

1. $\frac{-4\sqrt{2}{\mathrm{q}}^{2}}{{\mathrm{\pi \epsilon }}_{0}\mathrm{b}}$

2. $\frac{-8\sqrt{2}{\mathrm{q}}^{2}}{{\mathrm{\pi \epsilon }}_{0}\mathrm{b}}$

3. $\frac{-4{\mathrm{q}}^{2}}{\sqrt{3}{\mathrm{\pi \epsilon }}_{0}\mathrm{b}}$

4. $\frac{8\sqrt{2}{\mathrm{q}}^{2}}{4{\mathrm{\pi \epsilon }}_{0}\mathrm{b}}$

Subtopic:  Electric Potential Energy |
63%
From NCERT
AIPMT - 2002
To view explanation, please take trial in the course.
NEET 2023 - Target Batch - Aryan Raj Singh
Hints
To view explanation, please take trial in the course.
NEET 2023 - Target Batch - Aryan Raj Singh

A capacitor is charged with a battery and energy stored is U. After disconnecting the battery another capacitor of the same capacity is connected in parallel with it. The energy stored in each capacitor is:

1. U/2

2. U/4

3. 4 U

4. 2 U

Subtopic:  Electric Potential Energy |
53%
From NCERT
AIPMT - 2000
To view explanation, please take trial in the course.
NEET 2023 - Target Batch - Aryan Raj Singh
Hints