# Four equal charges Q are placed at the four corners of a square of each side ‘a’. Work done in removing a charge – Q from its centre to infinity is: 1. 0 2. $\frac{\sqrt{2}{Q}^{2}}{4\pi {\epsilon }_{0}a}$ 3. $\frac{\sqrt{2}{Q}^{2}}{\pi {\epsilon }_{0}a}$ 4. $\frac{{Q}^{2}}{2\pi {\epsilon }_{0}a}$

Subtopic:  Electric Potential Energy |
59%
From NCERT
AIIMS - 1995
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Two equal charges q of opposite sign separated by a distance 2a constitute an electric dipole of dipole moment p. If P is a point at a distance r from the centre of the dipole and the line joining the centre of the dipole to this point makes an angle θ with the axis of the dipole, then the potential at P is given by: (r >> 2a) (Where p = 2qa

 1 $$V={pcos \theta \over 4 \pi \varepsilon_0r^2}$$ 2 $$V={pcos \theta \over 4 \pi \varepsilon_0r}$$ 3 $$V={psin \theta \over 4 \pi \varepsilon_0r}$$ 4 $$V={pcos \theta \over 2 \pi \varepsilon_0r^2}$$
Subtopic:  Electric Potential |
72%
From NCERT
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How much kinetic energy will be gained by an $$\alpha\text-\text{particle}$$ in going from a point at $$70~\text{V}$$ to another point at $$50~\text{V}$$?

 1 $$40~\text{eV}$$ 2 $$40~\text{keV}$$ 3 $$40~\text{MeV}$$ 4 0



Subtopic:  Electric Potential |
79%
From NCERT
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A parallel plate condenser has a capacitance $$50~\mu\text{F}$$ in air and $$110~\mu\text{F}$$ when immersed in an oil. The dielectric constant $$k$$ of the oil is:
1. $$0.45$$
2. $$0.55$$
3. $$1.10$$
4. $$2.20$$

Subtopic:  Dielectrics in Capacitors |
79%
From NCERT
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Two thin dielectric slabs of dielectric constants K1&K2 (${K}_{1}<{K}_{2}$) are inserted between plates of a parallel capacitor, as shown in the figure. The variation of electric field E between the plates with distance d as measured from plate P is correctly shown by:

 1 2 3 4
Subtopic:  Dielectrics in Capacitors |
77%
From NCERT
NEET - 2014
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A conducting sphere of radius R is given a charge Q. The electric potential and field at the center of the sphere respectively are:

 1 Zero and $$\mathrm{Q} / 4 \pi \varepsilon_{\mathrm{o}} \mathrm{R}^2$$ 2 $$\mathrm{Q} / 4 \pi \varepsilon_{\mathrm{O}} \mathrm{R}$$ and zero 3 $$\mathrm{Q} / 4 \pi \varepsilon_{\mathrm{O}} \mathrm{R}$$ and $$\mathrm{Q} / 4 \pi \varepsilon_{\mathrm{o}} \mathrm{R}^2$$ 4 Both are zero

Subtopic:  Electrostatic Shielding |
86%
From NCERT
NEET - 2014
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Four point charges $$-Q, -q,2q~\text{and}~2Q$$ are placed, one at each corner of the square. The relation between $$Q$$ and $$q$$ for which the potential at the center of the square is zero, is:

 1 $$Q=-q$$ 2 $$Q=-\frac{1}{q}$$ 3 $$Q=q$$ 4 $$\mathrm{Q}=\frac{1}{q}$$
Subtopic:  Electric Potential |
77%
From NCERT
NEET - 2012
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Three capacitors each of capacitance C and of breakdown voltage V are joined in series. The capacitance and breakdown voltage of the combination will be:

1.

2.

3.

4.

Subtopic:  Combination of Capacitors |
80%
From NCERT
NEET - 2009
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Five identical plates each of area A are joined as shown in the figure. The distance between the plates is d. The plates are connected to a potential difference of V volts. The charge on plates 1 and 4 will be:

1.

2.

3. 

4.

Subtopic:  Combination of Capacitors |
64%
From NCERT
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A network of four capacitors of capacity equal to ${C}_{1}=C,$ ${C}_{2}=2C,$ ${C}_{3}=3C$ and C4 = 4C are connected in a battery as shown in the figure. The ratio of the charges on C2 and C4 is:

1. $\frac{22}{3}$

2. $\frac{3}{22}$

3. $\frac{7}{4}$

4. $\frac{4}{7}$

Subtopic:  Combination of Capacitors |
75%
From NCERT
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