# Two thin dielectric slabs of dielectric constants $$K_1~\text{and}~K_2(K_{1} < K_{2})$$ 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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An electric dipole of moment $$p$$ is placed in an electric field of intensity $$E$$. The dipole acquires a position such that the axis of the dipole makes an angle $$\theta$$ with the direction of the field. Assuming that the potential energy of the dipole to be zero when $$\theta = 90^{\circ},$$ the torque and the potential energy of the dipole will respectively be:

 1 $$p E \sin \theta,-p E \cos \theta$$ 2 $$p E \sin \theta,-2 p E \cos \theta$$ 3 $$p E \sin \theta, 2 p E \cos \theta$$ 4 $$p E \cos \theta,-p E \sin \theta$$
Subtopic:  Energy of Dipole in an External Field |
83%
From NCERT
NEET - 2012
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The equivalent capacitance of the following arrangement is:

1. $$18~\mu \text{F}$$
2. $$9~\mu \text{F}$$
3. $$6~\mu \text{F}$$
4. $$12~\mu \text{F}$$

Subtopic:  Combination of Capacitors |
79%
From NCERT
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Two capacitors of capacitance $$6~\mu\text{F}$$ and $$3~\mu\text{F}$$ are connected in series with battery of $$30~\text{V}$$. The charge on $$3~\mu\text{F}$$ capacitor at a steady state is:

1. $$3 ~\mu\text{C}$$
2. $$1.5 ~\mu\text{C}$$
3. $$60~\mu\text{C}$$
4. $$900~\mu\text{C}$$

Subtopic:  Combination of Capacitors |
85%
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Two concentric metallic spherical shells $$A$$ and $$B$$ of radii $$a$$ and $$b$$ respectively $$(b>a)$$ are arranged such that outer shell is earthed and inner shell is charged to $$Q$$. Charge on the outer surface of outer shell will be:
1. $$- \frac{Q a}{b}$$
2. $$Q \left[1 - \frac{a}{b}\right]$$
3. $$-Q$$
4. zero

Subtopic:  Electrostatic Shielding |
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The equivalent capacitance across $$A$$ and $$B$$ in the given figure is:

1. $$\frac{3}{2}\text{C}$$
2. $$\text{C}$$
3. $$\frac{2}{3}\text{C}$$
4. $$\frac{5}{3}\text{C}$$

Subtopic:  Combination of Capacitors |
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Two capacitors of capacity $$2~\mu\text{F}$$ and $$3~\mu\text{F}$$ are charged to the same potential difference of $$6$$ V. Now they are connected with opposite polarity as shown. After closing switches $$S_1~\text{and}~S_2$$, their final potential difference becomes:

 1 $$\text{zero}$$ 2 $$\frac{4}{3}~\text{V}$$ 3 $$3~\text{V}$$ 4 $$\frac{6}{5}~\text{V}$$
Subtopic:  Combination of Capacitors |
63%
From NCERT
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Which of the following statements is correct regarding electrostatics of conductors?

 1 The interior of the conductor with no cavity can have no excess charge in the static situation. 2 Electrostatic potential is constant throughout the volume of the conductor. 3 Electrostatic potential has the same value inside as that on its surface. 4 All of these.
Subtopic:  Electrostatic Shielding |
88%
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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 $$\theta$$ with the axis of the dipole, then the potential at $$P$$ is given by: $$(r>>2a)$$ (Where $$p = 2qa$$
 1 $$V={p\cos \theta \over 4 \pi \varepsilon_0r^2}$$ 2 $$V={p\cos \theta \over 4 \pi \varepsilon_0r}$$ 3 $$V={p\sin \theta \over 4 \pi \varepsilon_0r}$$ 4 $$V={p\cos \theta \over 2 \pi \varepsilon_0r^2}$$
Subtopic:  Electric Potential |
72%
From NCERT
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