Which of the following statement$(s)$ is/are correct?
$(A)$ If the electric field due to a point charge varies as $r^{-2.5}$ instead of $r^{-2}$,then the Gauss law will still be valid.
$(B)$ The Gauss law can be used to calculate the field distribution around an electric dipole.
$(C)$ If the electric field between two point charges is zero somewhere,then the sign of the two charges is the same.
$(D)$ The work done by the external force in moving a unit positive charge from point $A$ at potential $V_A$ to point $B$ at potential $V_B$ is $(V_B - V_A)$.
$(A)$ If the electric field due to a point charge varies as $r^{-2.5}$ instead of $r^{-2}$,then the Gauss law will still be valid.
$(B)$ The Gauss law can be used to calculate the field distribution around an electric dipole.
$(C)$ If the electric field between two point charges is zero somewhere,then the sign of the two charges is the same.
$(D)$ The work done by the external force in moving a unit positive charge from point $A$ at potential $V_A$ to point $B$ at potential $V_B$ is $(V_B - V_A)$.
- A$(A, B)$
- B$(C, D)$
- C$(A, D)$
- D$(B, C)$
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Similar Questions
Four charges $Q_1, Q_2, Q_3$, and $Q_4$ of the same magnitude are fixed along the $x$-axis at $x = -2a, -a, +a$, and $+2a$, respectively. A positive charge $q$ is placed on the positive $y$-axis at a distance $b > 0$. Four options regarding the signs of these charges are given in List-$I$. The direction of the net force on the charge $q$ is given in List-$II$. Match List-$I$ with List-$II$ and select the correct answer using the codes given below the lists.
List-$I$ List-$II$ $P. Q_1, Q_2, Q_3, Q_4$ all positive $1. +x$ $Q. Q_1, Q_2$ positive; $Q_3, Q_4$ negative $2. -x$ $R. Q_1, Q_4$ positive; $Q_2, Q_3$ negative $3. +y$ $S. Q_1, Q_3$ positive; $Q_2, Q_4$ negative $4. -y$
| List-$I$ | List-$II$ |
| $P. Q_1, Q_2, Q_3, Q_4$ all positive | $1. +x$ |
| $Q. Q_1, Q_2$ positive; $Q_3, Q_4$ negative | $2. -x$ |
| $R. Q_1, Q_4$ positive; $Q_2, Q_3$ negative | $3. +y$ |
| $S. Q_1, Q_3$ positive; $Q_2, Q_4$ negative | $4. -y$ |
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View SolutionTwo identical non-conducting thin hemispherical shells,each of radius $R$,are brought into contact to form a complete sphere. If a total charge $Q$ is uniformly distributed on them,what is the minimum force $F$ required to hold them together?
Medium
View SolutionIn the given figure,two tiny conducting balls of identical mass $m$ and identical charge $q$ hang from non-conducting threads of equal length $L$. Assume that $\theta$ is so small that $\tan \theta \approx \sin \theta$,then for equilibrium,$x$ is equal to:
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View SolutionColumn $II$ corresponds to the graph of magnitude of electric field versus distance from the centre of the charge distribution in Column $I$. Match the items in Column $I$ with the corresponding graphs in Column $II$.
Column-$I$ Column-$II$ $(A)$ Ring along its axis $(P)$ Graph with a peak at a distance $r > 0$ $(B)$ Uniformly charged solid sphere $(Q)$ Graph increasing linearly for $r < R$ and decreasing as $1/r^2$ for $r > R$ $(C)$ Uniformly charged spherical shell $(R)$ Graph with zero field for $r < R$ and decreasing as $1/r^2$ for $r > R$ $(D)$ Combination of charge $+Q$ and $-Q$ at the perpendicular bisector $(S)$ Graph with a maximum at the center and decreasing as $r$ increases
| Column-$I$ | Column-$II$ |
|---|---|
| $(A)$ Ring along its axis | $(P)$ Graph with a peak at a distance $r > 0$ |
| $(B)$ Uniformly charged solid sphere | $(Q)$ Graph increasing linearly for $r < R$ and decreasing as $1/r^2$ for $r > R$ |
| $(C)$ Uniformly charged spherical shell | $(R)$ Graph with zero field for $r < R$ and decreasing as $1/r^2$ for $r > R$ |
| $(D)$ Combination of charge $+Q$ and $-Q$ at the perpendicular bisector | $(S)$ Graph with a maximum at the center and decreasing as $r$ increases |
Medium
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DifficultNEET 2017
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