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# Which of the following graphs shows the variation of electric field $$E$$ due to a hollow spherical conductor of radius $$R$$ as a function of distance from the centre of the sphere? 1. 2. 3. 4.

Subtopic:  Gauss's Law |
85%
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The figure shows the electric lines of force emerging from a charged body. If the electric field at $$A$$ and $$B$$ are $$E_A$$ and $$E_B$$ respectively and if the displacement between $$A$$ and $$B$$ is $$r,$$ then:

1. $$E_A>E_B$$

2. $$E_A<E_B$$

3. ${E}_{A}=\frac{{E}_{B}}{r}$

4. ${E}_{A}=\frac{{E}_{B}}{{r}^{2}}$

Subtopic:  Electric Field |
89%
From NCERT
PMT - 1986
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Three charges are placed at the vertices of an equilateral triangle of side $$a$$ as shown in the following figure. The force experienced by the charge placed at the vertex $$A$$ in a direction normal to $$BC$$ is:

1. ${Q}^{2}/\left(4\pi {\epsilon }_{0}{a}^{2}\right)$

2. $-{Q}^{2}/\left(4\pi {\epsilon }_{0}{a}^{2}\right)$

3. zero

4. ${Q}^{2}/\left(2\pi {\epsilon }_{0}{a}^{2}\right)$

Subtopic:  Coulomb's Law |
64%
From NCERT
AIIMS - 2003
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The charge on $$500~\text{cc}$$ of water due to protons will be:

 1 $$6.0\times 10^{27}~\text{C}$$ 2 $$2.67\times 10^{7}~\text{C}$$ 3 $$6\times 10^{23}~\text{C}$$ 4 $$1.67\times 10^{23}~\text{C}$$
Subtopic:  Electric Charge |
58%
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Two-point charges, $$+q$$ and $$-q$$ are held fixed at $$(-d,0)$$ and $$(d,0)$$ respectively of an $$(x,y)$$ coordinate system. Then:
 1 $$E$$ at all points on the $$y\text-$$axis is along $$\hat i.$$ 2 The electric field $$\vec E$$ at all points on the $$x\text-$$axis has the same direction. 3 Dipole moment is $$2qd$$ directed along $$\hat i.$$ 4 Work has to be done in bringing a test charge from infinity to the origin.
Subtopic:  Electric Dipole |
From NCERT
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Two-point charges $$+8q$$ and $$-2q$$ are located at $$x=0$$ and $$x=L$$ respectively. The location of a point on the $$x\text-$$axis at which the net electric field due to these two point charges is zero is:
1. $$8L$$
2. $$4L$$
3. $$2L$$
4. $$\frac{L}{4}$$

Subtopic:  Electric Field |
73%
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The net dipole moment of the system is of the magnitude:

1. $$q\times 2a$$

2. $$2q \times 2a$$

3. $$q\times a$$

4. $$2\times (2q\times 2a)$$

Subtopic:  Electric Dipole |
73%
From NCERT
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Two charges $$2~\mu\text{C}$$ and $$8~\mu\text{C}$$ are separated by $$6$$ cm. The neutral point is at:
 1 $$4$$ cm from $$2~\mu\text{C}$$. 2 $$2$$ cm from $$2~\mu\text{C}$$. 3 $$2$$ cm from $$8~\mu\text{C}$$. 4 $$3$$ cm from $$8~\mu\text{C}$$.
Subtopic:  Coulomb's Law |
78%
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The ratio of the electric flux linked with shell $$A$$ and shell $$B$$ in the diagram shown below is:

 1 $$1: 1$$ 2 $$1: 2$$ 3 $$1: 4$$ 4 $$4: 2$$
Subtopic:  Gauss's Law |
88%
From NCERT
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An electric dipole is kept at the origin as shown in the diagram. The point $$A, B, C$$ are on a circular arc with the centre of curvature at the origin. If the electric fields at $$A, B$$ and $$C$$ respectively are $$\vec E_1,\vec E_2,\vec E_3,$$ then which of the following is incorrect? $$\left ( d\gg l \right )$$

1. $$\vec E_1=-\vec E_3$$
2. $$\vec E_1=-2\vec E_2$$
3. $$\vec E_1=\vec E_3$$
4. $$\vec E_3=-2\vec E_2$$

Subtopic:  Electric Dipole |
50%
From NCERT
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