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In the following question, a Statement of Assertion (A) is given followed by a corresponding Reason (R) just below it. Read the Statements carefully and mark the correct answer-
Assertion(A): For stable equilibrium, Force has to be zero and potential energy should be minimum.
Reason(R): For equilibrium, it is not necessary that the force is not zero.
  • a)
    Both Assertion and Reason are true and Reason is the correct explanation of assertion.
  • b)
    Both Assertion and Reason are true and Reason is not the correct explanation of assertion
  • c)
    Assertion is true but Reason is false.
  • d)
    Assertion is false but Reason is true.
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
In the following question, a Statement of Assertion (A) is given follo...
If there is an external force acting on a body, them it possesses some acceleration, hence it is not in equilibrium due to it's motion.
If the potential energy is not minimum, there will be some interactions between the atoms (or molecules), hence, equilibrium is not present.
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Community Answer
In the following question, a Statement of Assertion (A) is given follo...
Assertion: For stable equilibrium, Force has to be zero and potential energy should be minimum.
Reason: For equilibrium, it is not necessary that the force is not zero.

Explanation:
For a system to be in stable equilibrium, it must satisfy two conditions: the net force acting on it must be zero, and its potential energy should be at a minimum.

Stable Equilibrium:
Stable equilibrium refers to a state where a system returns to its original position or configuration after being displaced slightly. In this state, the system is in a balanced condition, and any small disturbance will cause it to oscillate or vibrate around its equilibrium position.

Assertion Explanation:
The assertion states that for stable equilibrium, the force must be zero and potential energy should be at a minimum. Let's analyze this statement:

- Force: In a system at equilibrium, the net force acting on it is zero. This means that all the forces acting on the system, such as gravitational forces, electromagnetic forces, or any other external forces, should cancel each other out. If there is a non-zero net force, it would cause the system to accelerate and move away from its equilibrium position, resulting in an unstable equilibrium.

- Potential Energy: The potential energy of a system is related to the forces acting on it and the positions of its components. In stable equilibrium, the potential energy is at a minimum. This means that the system is in a balanced state, and any slight displacement from this position would result in an increase in potential energy, causing the system to return to its equilibrium position.

Reason Explanation:
The reason states that for equilibrium, it is not necessary that the force is not zero. Let's analyze this statement:

- Equilibrium: Equilibrium refers to a state where a system is in a balanced condition. In equilibrium, the net force acting on the system is zero. However, it is possible to have a system in equilibrium with non-zero forces acting on it, as long as these forces cancel each other out. This is known as a balanced equilibrium, where the forces are balanced but not necessarily zero.

Conclusion:
From the above explanation, it can be concluded that the assertion is true because for stable equilibrium, the force has to be zero and potential energy should be at a minimum. However, the reason is false because for equilibrium, it is necessary that the force is zero. Therefore, the correct answer is option 'C' - Assertion is true but Reason is false.
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In the following question, a Statement of Assertion (A) is given followed by a corresponding Reason (R) just below it. Read the Statements carefully and mark the correct answer-Assertion(A): For stable equilibrium, Force has to be zero and potential energy should be minimum.Reason(R): For equilibrium, it is not necessary that the force is not zero.a)Both Assertion and Reason are true and Reason is the correct explanation of assertion.b)Both Assertion and Reason are true and Reason is not the correct explanation of assertionc)Assertion is true but Reason is false.d)Assertion is false but Reason is true.Correct answer is option 'C'. Can you explain this answer?
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