Given below are two statements: one is labelled as Assertion (A) and the other is labelled as Reason (R).
 Assertion (A): The potential $$(V)$$ at any axial point, at $$2~\text m$$  distance ($$r$$) from the centre of the dipole of dipole moment vector $$\vec P$$ of magnitude, $$4\times10^{-6}~\text{C m},$$ is $$\pm9\times10^3~\text{V}.$$ (Take $${\dfrac{1}{4\pi\varepsilon_0}}=9\times10^9$$ SI units) Reason (R): $$V=\pm{\dfrac{2P}{4\pi\varepsilon_0r^2}},$$ where $$r$$ is the distance of any axial point situated at $$2~\text m$$ from the centre of the dipole.
In the light of the above statements, choose the correct answer from the options given below:
 1 Both (A) and (R) are True and (R) is not the correct explanation of (A). 2 (A) is True but (R) is False. 3 (A) is False but (R) is True. 4 Both (A) and (R) are True and (R) is the correct explanation of (A).
Subtopic: Â Electric Potential |
Â 51%
From NCERT
NEET - 2024
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In the following circuit, the equivalent capacitance between terminal $$A$$ and terminal $$B$$ is:

1. $$1~\mu\text F$$
2. $$0.5~\mu\text F$$
3. $$4~\mu\text F$$
4. $$2~\mu\text F$$
Subtopic: Â Combination of Capacitors |
Â 65%
From NCERT
NEET - 2024
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A thin spherical shell is charged by some source. The potential difference between the two points $$C$$ and $$P$$ (in V) shown in the figure is:
( Take $$\dfrac{1}{4 \pi \epsilon_0}=9 \times 10^9$$ SI units)

1. $$1 \times 10^5$$
2. $$0.5 \times 10^5$$
3. $$\text{zero}$$
4. $$3 \times 10^5$$
Subtopic: Â Electric Potential |
Â 65%
From NCERT
NEET - 2024
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If the plates of a parallel plate capacitor connected to a battery are moved close to each other, then:
 $$\mathrm A.$$ the charge stored in it, increases. $$\mathrm B.$$ the energy stored in it, decreases. $$\mathrm C.$$ its capacitance increases. $$\mathrm D.$$ the ratio of charge to its potential remains the same. $$\mathrm E.$$ the product of charge and voltage increases.

Choose the most appropriate answer from the options given below:
1. $$\mathrm {A,C}$$ and $$\mathrm E$$ only
2. $$\mathrm {B,D }$$ and $$\mathrm E$$ only
3. $$\mathrm{A,B}$$ and $$\mathrm C$$ only
4. $$\mathrm{A,B}$$ and $$\mathrm E$$ only
Subtopic: Â Energy stored in Capacitor |
Â 55%
From NCERT
NEET - 2024
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A dielectric slab of dielectric constant $$3$$ having the same area of cross-section as that of parallel plate capacitor but of thickness $${\dfrac{3}{4}}^{\text{th}}$$ of the separation of the plates is inserted into the capacitor. The ratio of potential difference across the plates without dielectric to that with dielectric is:
1. $$1:2$$
2. $$2:3$$
3. $$3:2$$
4. $$2:1$$
Subtopic: Â Dielectrics in Capacitors |
Â 52%
From NCERT
NEET - 2024
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A $$12~\text{pF}$$ capacitor is connected to a $$50~\text V$$ battery, and the electrostatic energy stored in the capacitor in $$\text{nJ}$$ is:
1. $$15$$
2. $$7.5$$
3. $$0.3$$
4. $$150$$
Subtopic: Â Energy stored in Capacitor |
Â 67%
From NCERT
NEET - 2024
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The capacitance of a capacitor with charge $$q$$ and a potential difference $$V$$ depends on:
 1 both $$q$$  and $$V$$ 2 the geometry of the capacitor 3 $$q$$ only 4 $$V$$ only
Subtopic: Â Capacitance |
Â 72%
From NCERT
NEET - 2024
Hints

The value of the electric potential at a distance of $$9~\text{cm}$$ from the point charge $$4\times10^{-7}~\text{C}$$ is:
$$\left[\mathrm{Given}\dfrac{1}{4\pi\varepsilon_{0}}=9\times10^{9}~\text{N m}^{2}~\text{C}^{-2}\right]$$
 1 $$4\times10^2~\text V$$ 2 $$44.4~\text V$$ 3 $$4.4\times10^5~\text V$$ 4 $$4\times10^4~\text V$$
Subtopic: Â Electric Potential |
Â 60%
From NCERT
NEET - 2024
Hints

The equivalent capacitance of the system shown in the following circuit is:

1. $$9~{\mu \text{F}}$$
2. $$2~{\mu \text{F}}$$
3. $$3~{\mu \text{F}}$$
4. $$6~{\mu \text{F}}$$
Subtopic: Â Combination of Capacitors |
Â 78%
From NCERT
NEET - 2023
Hints

An electric dipole is placed as shown in the figure.

The electric potential (in $$10^2~\text{V}$$) at the point $$P$$ due to the dipole is:
($$\varepsilon_0=$$ permittivity of free space and $$\dfrac{1}{4 \pi \varepsilon_0}=k$$)
 1 $$\left(\dfrac{8}{3}\right)qk$$ 2 $$\left(\dfrac{3}{8}\right)qk$$ 3 $$\left(\dfrac{5}{8}\right)qk$$ 4 $$\left(\dfrac{8}{5}\right)qk$$
Subtopic: Â Energy of Dipole in an External Field |
Â 61%
From NCERT
NEET - 2023