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Two positive and equal charges are fixed at a certain distance. A third small charge is placed in between the two charges and it experiences zero net force due to the other two.
  • a)
    The equilibrium is stable if small charge is positive
  • b)
    The equilibrium is stable if small charge is negative
  • c)
    The equilibrium is always stable
  • d)
    The equilibrium is not stable
Correct answer is option 'D'. Can you explain this answer?
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Two positive and equal charges are fixed at a certain distance. A thir...
The equilibrium can be stable only if on displacing the small charge slightly in any direction, the forces act on it in such a way so as to bring back the charge to its equilibrium position.
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Two positive and equal charges are fixed at a certain distance. A thir...
Explanation:

The given scenario can be represented by the diagram shown below:

![image.png](attachment:image.png)


Here, two positive charges are fixed at a certain distance and a small charge is placed in between them. The small charge experiences zero net force due to the other two charges.

To determine the stability of the equilibrium, we need to consider the behavior of the small charge if it is displaced slightly from its initial position.

Case 1: Small charge is positive

If the small charge is positive and it is displaced slightly towards either of the fixed positive charges, then it will experience a net force towards the other positive charge. This will cause the small charge to move further away from its initial position, thus making the equilibrium unstable.

Case 2: Small charge is negative

If the small charge is negative and it is displaced slightly towards either of the fixed positive charges, then it will experience a net force towards the other positive charge. This will cause the small charge to move towards its initial position, thus restoring the equilibrium. Similarly, if the small charge is displaced slightly towards the other side, it will again experience a net force towards its initial position, thus making the equilibrium stable.

Therefore, the equilibrium is stable only if the small charge is negative.

Conclusion:

Hence, option D is the correct answer as the equilibrium is not stable if the small charge is positive and it is stable only if the small charge is negative.
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Read the following text and answer the following questions on the basis of the same: Tribo-electric series: The tribo-electric series is a list that ranks materials according to their tendency to gain or lose electrons. The process of electron transfer as a result of two objects coming into contact with one another and then separating is called tribo-electric charging. During such an interaction, one of the two objects will always gain electrons (becoming negatively charge d) and the other object will lose electrons (becoming positively charged). The relative position of the two objects on the tribo-electric series will define which object gains electrons and which object loses electrons.In tribo-electric series, materials are ranked from high to low in terms of the tendency for the material to lose electrons. If an object high up on this list (Glass, for exampl e) is rubbed with an object low down on the list (Teflon, for example), the glass will lose electrons to the teflon. The glass will, in this case, become positively charged and the teflon will become negatively charged. Materials in the middle of the list (steel and wood, for example) are items those do not have a strong tendency to give up or accept electrons.If human hair is rubbed with amber, how those will be charged?

Two positive and equal charges are fixed at a certain distance. A third small charge is placed in between the two charges and it experiences zero net force due to the other two.a)The equilibrium is stable if small charge is positiveb)The equilibrium is stable if small charge is negativec)The equilibrium is always stabled)The equilibrium is not stableCorrect answer is option 'D'. Can you explain this answer?
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Two positive and equal charges are fixed at a certain distance. A third small charge is placed in between the two charges and it experiences zero net force due to the other two.a)The equilibrium is stable if small charge is positiveb)The equilibrium is stable if small charge is negativec)The equilibrium is always stabled)The equilibrium is not stableCorrect answer is option 'D'. Can you explain this answer? for Class 12 2024 is part of Class 12 preparation. The Question and answers have been prepared according to the Class 12 exam syllabus. Information about Two positive and equal charges are fixed at a certain distance. A third small charge is placed in between the two charges and it experiences zero net force due to the other two.a)The equilibrium is stable if small charge is positiveb)The equilibrium is stable if small charge is negativec)The equilibrium is always stabled)The equilibrium is not stableCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for Class 12 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two positive and equal charges are fixed at a certain distance. A third small charge is placed in between the two charges and it experiences zero net force due to the other two.a)The equilibrium is stable if small charge is positiveb)The equilibrium is stable if small charge is negativec)The equilibrium is always stabled)The equilibrium is not stableCorrect answer is option 'D'. Can you explain this answer?.
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