Three point charges are placed at the corners of an equilateral triangle. Assuming only electrostatic forces are acting, which of the following statements is true?
- AThe system can never be in equilibrium.
- BThe system will be in equilibrium if the charges rotate about the centre of the triangle.
- CThe system will be in equilibrium if the charges have different magnitudes and different signs.
- DThe system will be in equilibrium if the charges have the same magnitudes but different signs.
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Similar Questions
Column $II$ 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
View SolutionCharges are placed on the vertices of a square as shown in the figure. Let $\vec{E}$ be the electric field and $V$ be the electric potential at the center. If the charges at $A$ and $B$ are interchanged with those at $D$ and $C$ respectively,then:
Medium
View SolutionTwo identical positive charges are fixed on the $y$-axis, at equal distances from the origin $O$. $A$ particle with a negative charge starts on the $x$-axis at a large distance from $O$, moves along the $+x$-axis, passes through $O$, and moves far away from $O$. Its acceleration $a$ is taken as positive in the positive $x$-direction. The particle's acceleration $a$ is plotted against its $x$-coordinate. Which of the following best represents the plot?
Difficult
View Solution$A$ table tennis ball,which has been covered with conducting paint,is suspended by a silk thread so that it hangs between two plates. One plate is earthed,and the other is connected to a high-voltage generator. This ball:
Easy
View SolutionAn inclined plane making an angle $30^{\circ}$ with the horizontal is placed in a uniform horizontal electric field of $100 \ Vm^{-1}$ as shown in the figure. $A$ small block of mass $1 \ kg$ and charge $0.01 \ C$ is allowed to slide down from rest from a height $h=1 \ m$. If the coefficient of friction is $0.2$,then the acceleration of the block is nearly,
(Acceleration due to gravity,$g=10 \ ms^{-2}$) (in $ms^{-2}$)
(Acceleration due to gravity,$g=10 \ ms^{-2}$) (in $ms^{-2}$)
DifficultAP EAMCET 2019
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