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Q. No.If a conducting sphere of radius \(R\) is charged. Then the electric field at a distance \(r(r>R)\) from the centre of the sphere would be, (\(V\)=potential on the surface of the sphere):
1.
\(\frac{rV}{R^2}\)
2.
\(\frac{R^2V}{r^3}\)
3.
\(\frac{RV}{r^2}\)
4.
\(\frac{V}{r}\)
Subtopic: Electric Potential |
From NCERT
NEET - 2023
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The equivalent capacitance of the arrangement shown in the figure is:
| 1. | \(30~\mu \text{F}\) | 2. | \(15~\mu \text{F}\) |
| 3. | \(25~\mu\text{F}\) | 4. | \(20~\mu\text{F}\) |
Subtopic: Combination of Capacitors |
69%
From NCERT
NEET - 2023
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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:
(\(\epsilon_0\)= permittivity of free space and \(\frac{1}{4 \pi \epsilon_0}=k\))
1. \(\left(\frac{8}{3}\right)qk\)
2. \(\left(\frac{3}{8}\right)qk\)
3. \(\left(\frac{5}{8}\right)qk\)
4. \(\left(\frac{8}{5}\right)qk\)
The electric potential (in \(10^2~\text{V}\)) at the point \(P\) due to the dipole is:
(\(\epsilon_0\)= permittivity of free space and \(\frac{1}{4 \pi \epsilon_0}=k\))
1. \(\left(\frac{8}{3}\right)qk\)
2. \(\left(\frac{3}{8}\right)qk\)
3. \(\left(\frac{5}{8}\right)qk\)
4. \(\left(\frac{8}{5}\right)qk\)
Subtopic: Energy of Dipole in an External Field |
62%
From NCERT
NEET - 2023
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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: Combination of Capacitors |
80%
From NCERT
NEET - 2023
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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. \(\frac{-q^2}{4\pi\varepsilon_0d}\Big(6-\frac{1}{\sqrt2}\Big)\)
(\(\varepsilon_0-\)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
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The effective capacitances of two capacitors are \(3~\mu \text{F}\) and \(16~\mu \text{F}\), when they are connected in series and parallel respectively. The capacitance of two capacitors are:
| 1. | \(10 ~\mu \text{F}, ~6~\mu \text{F}\) | 2. | \(8 ~\mu \text{F}, ~8~\mu \text{F}\) |
| 3. | \(12~\mu \text{F},~ 4~\mu \text{F}\) | 4. | \(1.2~\mu \text{F},~1.8~\mu \text{F}\) |
Subtopic: Combination of Capacitors |
77%
From NCERT
NEET - 2022
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NEET 2023 - Target Batch - Aryan Raj Singh
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The distance between the two plates of a parallel plate capacitor is doubled, and the area of each plate is halved. If \(C\) is its initial capacitance, its final capacitance is equal to:
| 1. | \(2C\) | 2. | \(\frac{C}{2}\) |
| 3. | \(4C\) | 4. | \(\frac{C}{4}\) |
Subtopic: Capacitance |
78%
From NCERT
NEET - 2022
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NEET 2023 - Target Batch - Aryan Raj Singh
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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
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Three capacitors, each of capacitance \(0.3~\mu \text{F}\) are connected in parallel. This combination is connected with another capacitor of capacitance \(0.1~\mu \text{F}\) in series. Then the equivalent capacitance of the combination is:
| 1. | \(0.9~\mu\text{F}\) | 2. | \(0.09~\mu\text{F}\) |
| 3. | \(0.1~\mu\text{F}\) | 4. | \(0.01~\mu\text{F}\) |
Subtopic: Combination of Capacitors |
84%
From NCERT
NEET - 2022
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A hollow metal sphere of radius \(R\) is given \(+Q\) charges to its outer surface. The electric potential at a distance \(\frac{R}{3}\) from the centre of the sphere will be:
1. \(\frac{1}{4\pi \varepsilon_0}\frac{Q}{9R}\)
2. \(\frac{3}{4\pi \varepsilon_0}\frac{Q}{R}\)
3. \(\frac{1}{4\pi \varepsilon_0}\frac{Q}{3R}\)
4. \(\frac{1}{4\pi \varepsilon_0}\frac{Q}{R}\)
Subtopic: Electric Potential |
63%
From NCERT
NEET - 2022
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NEET 2023 - Target Batch - Aryan Raj Singh
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