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Assertion : Work done by or against gra...

Assertion : Work done by or against gravitational force in moving a body from one point to another is independent of the actual path followed between the two points.
Reason : This is because gravitational forces are conservative forces.

A

If both, Assertion and Reason are true and Reason is correct explantion of Assertion.

B

If both, Assertion and Reason are true but Reason is not a correct explanation of the Assertion.

C

If Assertion is true but the Reason is false.

D

If both, Assertion and Reason are false.

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The correct Answer is:
To analyze the assertion and reason provided in the question, we can break it down into a step-by-step solution. ### Step-by-Step Solution: 1. **Understanding the Assertion**: - The assertion states that the work done by or against gravitational force when moving a body from one point to another is independent of the actual path taken between the two points. - This means that whether you take a straight line, a curved path, or any other route, the work done against gravity will remain the same as long as the initial and final heights are the same. 2. **Understanding the Reason**: - The reason given is that this property is due to gravitational forces being conservative forces. - A conservative force is defined as a force for which the work done in moving an object between two points is independent of the path taken. 3. **Explaining the Concept of Conservative Forces**: - Gravitational force is a classic example of a conservative force. - When you lift an object to a height \( h \), the work done against gravity is given by \( W = mgh \) where \( m \) is the mass of the object and \( g \) is the acceleration due to gravity. - If you were to lower the object back down to the original height, the work done would be equal in magnitude but opposite in direction, resulting in a net work of zero for a closed path. 4. **Conclusion**: - Since the assertion correctly describes the nature of work done against gravitational force, and the reason accurately explains why this is true (because gravitational force is conservative), both the assertion and reason are true. - Therefore, the assertion is correct and the reason provided is the correct explanation for the assertion. ### Final Answer: Both the assertion and the reason are true, and the reason is the correct explanation for the assertion.

To analyze the assertion and reason provided in the question, we can break it down into a step-by-step solution. ### Step-by-Step Solution: 1. **Understanding the Assertion**: - The assertion states that the work done by or against gravitational force when moving a body from one point to another is independent of the actual path taken between the two points. - This means that whether you take a straight line, a curved path, or any other route, the work done against gravity will remain the same as long as the initial and final heights are the same. ...
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A force is said to be conservative if work done by or agains the force depends only on initial and final positions of the body and not on the nature of path followed. A force is said to be non-conservative, if work done by or against the force in moving a body from one position to another, depeds on the path followed between these two positions. Potential energy is defined only for conservative forces. It does not exist for non-conservative forces. Read the above passage and answer the following question : (i) Give two examples, each for conservative and non-conservative forces. (ii) Potential energy does not exist for non-conservative forces. What does it imply ini day to day life ?

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Assertion: Work done in moving a charge between any two points in a unifrom electric field is independent of the path followed by the charge, between these points. Reason: Electrostatic forces are non-conservative.

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