# An elementary particle of mass m and charge +e is projected with velocity v at a much more massive particle of charge Ze, where Z > 0. What is the closest possible approach of the incident particle? 1. $$\frac{Z e^2}{2 \pi \varepsilon_0 m v^2}$$ 2. $$\frac{Z_e}{4 \pi \varepsilon_0 m v^2}$$ 3. $$\frac{Z e^2}{8 \pi \varepsilon_0 m v^2}$$ 4. $$\frac{Z_e}{8 \pi \varepsilon_0 m v^2}$$

Subtopic:  Electric Potential Energy |
65%
From NCERT
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A parallel plate capacitor of capacitance C is connected to a battery and is charged to a potential difference V. Another capacitor of capacitance 2C is connected to another battery and is charged to potential difference 2V. The charging batteries are now disconnected and the capacitors are connected in parallel to each other in such a way that the positive terminal of one is connected to the negative terminal of the other. The final energy of the configuration is?

1. Zero

2. $\frac{25C{V}^{2}}{6}$

3. $\frac{3C{V}^{2}}{2}$

4. $\frac{9C{V}^{2}}{2}$

Subtopic:  Energy stored in Capacitor |
53%
From NCERT
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Consider two points 1 and 2 in a region outside a charged sphere. Two points are not very far away from the sphere. If E and V represent the electric field vector and the electric potential, which of the following is not possible?

 1 $$\left|\vec{E}_1\right|=\left|\vec{E}_2\right|, V_1=V_2$$ 2 $$\vec{E}_1 \neq \vec{E}_2, V_1 \neq V_2$$ 3 $$\vec{E}_1 \neq \vec{E}_2, V_1=V_2$$ 4 $$\left|\vec{E}_1\right|=\left|\vec{E}_2\right|, V_1 \neq V_2$$

Subtopic:  Relation between Field & Potential |
From NCERT
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A parallel plate capacitor has capacitance $$C$$. If it is equally filled with parallel layers of materials of dielectric constants $$K_1$$ and $$K_2$$, its capacity becomes $$C_1$$. The ratio of $$C_1$$ to $$C$$ is:

 1 $$K_1 + K_2$$ 2 $$\frac{K_{1} K_{2}}{K_{1}-K_{2}}$$ 3 $$\frac{K_{1}+K_{2}}{K_{1} K_{2}}$$ 4 $$\frac{2 K_{1} K_{2}}{K_{1}+K_{2}}$$
Subtopic:  Dielectrics in Capacitors |
69%
From NCERT
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The equivalent capacitance between A and B is:

 1 2 μF 2 3 μF 3 5 μF 4 0.5 μF
Subtopic:  Combination of Capacitors |
71%
From NCERT
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100 capacitors each having a capacity of 10 μF are connected in parallel and are charged by a potential difference of 100 kV. The energy stored in the capacitors and the cost of charging them, if electrical energy costs 108 paise per kWh, will be?

 1 107 joule and 300 paise 2 5 × 106 joule and 300 paise 3 5 × 106 joule and 150 paise 4 107 joule and 150 paise

Subtopic:  Energy stored in Capacitor |
56%
From NCERT
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A series combination of n1 capacitors, each of value C1, is charged by a source of potential difference 4 V. When another parallel combination of n2 capacitors, each of value C2, is charged by a source of potential difference V, it has the same (total) energy stored in it as the first combination has. The value of C2 in terms of C1 is:

1.  $\frac{2{C}_{1}}{{n}_{1}{n}_{2}}$

2. 16$\frac{{n}_{2}}{{n}_{1}}$C1

3.  2$\frac{{n}_{2}}{{n}_{1}}$C1

4.  $\frac{16{C}_{1}}{{n}_{1}{{n}_{2}}_{}}$

Subtopic:  Energy stored in Capacitor |
71%
From NCERT
NEET - 2010
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A parallel plate condenser has a uniform electric field E(V/m) in the space between the plates. If the distance between the plates is d(m) and area of each plate is $\mathrm{A}\left({\mathrm{m}}^{2}\right)$, the energy (joule) stored in the condenser is:

1. $\frac{1}{2}{\mathrm{\epsilon }}_{0}{\mathrm{E}}^{2}$

2. ${\mathrm{\epsilon }}_{0}\mathrm{EAd}$

3. $\frac{1}{2}{\mathrm{\epsilon }}_{0}{\mathrm{E}}^{2}\mathrm{Ad}$

4. ${\mathrm{E}}^{2}\mathrm{Ad}/{\mathrm{\epsilon }}_{0}$

Subtopic:  Energy stored in Capacitor |
80%
From NCERT
NEET - 2021
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Two metallic spheres of radii 1 cm and 3 cm are given charges of -1 and , respectively. If these are connected by a conducting wire, the final charge on the bigger sphere is:

1.

2.

3.

4.

Subtopic:  Electric Potential |
68%
From NCERT
NEET - 2012
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$$\mathrm{A}$$, $$\mathrm{B}$$ and $$\mathrm{C}$$ are three points in a uniform electric field. The electric potential is:

 1 maximum at $$\mathrm{A}$$ 2 maximum at $$\mathrm{B}$$ 3 maximum at $$\mathrm{C}$$ 4 same at all the three points $$\mathrm{A},\mathrm{B} ~\text{and}~\mathrm{C}$$
Subtopic:  Relation between Field & Potential |
83%
From NCERT
NEET - 2013
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