Home
Class 11
PHYSICS
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.

Text Solution

AI Generated Solution

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. ...
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • WORK, ENERGY AND POWER

    PRADEEP|Exercise Integer Type Questions|9 Videos

  • THERMODYNAMICS

    PRADEEP|Exercise Assertion- Reason Type Questions|19 Videos

Similar Questions

Explore conceptually related problems

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 ?

The force is ………. if the work done by the force in displacing a particle from one point to another is independent of the path followed by the particle .

Knowledge Check

  • Assertion (A): Work done in moving a charge between any two points in a uniform electric field is independent of the path followed by the charge between these two points. Reason (R ): Electrostatic forces are non-conservative.

    A
    Both A and R are true and R is the correct explanation of A
    B
    Both A and R are true but R is NOT the correct explanation of A
    C
    A is true but R is false
    D
    A is false and R is True

  • 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.

    A
    If both assertion and reason are true and reson is the correct explanation of the assertion.
    B
    If both assertion and reason are true but reason is not the correct explanation of the assertion.
    C
    If the assertion is true but the reason are false.
    D
    If both the assertion and reason are false.

  • The gravitational force between two bodies is

    A
    repulsive at large distances
    B
    attractive at all places
    C
    attractive at short distances
    D
    repulsive at short distances

    • Similar Questions

    Explore conceptually related problems

    Work Done By Gravitational Forces

    Shown that work done by a conservative force on a particle moving between two points is path independent.

    Assertion: Work done by the force of friction in moving a body around a closed loop is zero. Reason: Work done does not depend upon the nature of force.

    Gravitational force between two bodies exist

    Assertion : Work done by the centripetal force in moving a body along a circle is always zero. Reason : Because displacement of the body is along the force.

    Home
    Profile