Direction: In the following questions, a statement of assertion (A) i...
Work done is a state function. It depends on the initial and final position of the object and not on the path followed. In the above example initial and final position is same therefore work done is same in both cases.
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Direction: In the following questions, a statement of assertion (A) i...
Assertion: Work done is different while climbing stairs or using a lift.
Reason: Work done depends only on the initial and final position of the object.
The correct answer is option D, i.e., Assertion (A) is false but Reason (R) is true.
Explanation:
- Work Done: Work done is defined as the product of the force applied on an object and the displacement of the object in the direction of the force. It is denoted by the symbol 'W' and is measured in joules (J).
- Assertion (A): Work done is different while climbing stairs or using a lift. This assertion is true. When climbing stairs, we exert a force to lift our body against the force of gravity. The displacement of our body is in the vertical direction. On the other hand, when using a lift, we do not exert a force against gravity. The displacement is mostly in the horizontal direction. Therefore, the work done in climbing stairs is different from the work done while using a lift.
- Reason (R): Work done depends only on the initial and final position of the object. This reason is true. According to the work-energy principle, the work done on an object is equal to the change in its kinetic energy. It does not depend on the path taken or the forces involved in the process. It only depends on the initial and final positions of the object. Thus, the reason is correct.
- The statement given in the reason is a general statement about work done, which is independent of the specific scenario mentioned in the assertion. Therefore, the reason does not provide a correct explanation for the assertion.
- Since the assertion is true but the reason is true but not the correct explanation of the assertion, the correct answer is option D: Assertion (A) is false but reason (R) is true.