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Assertion : Work-energy theorem can be a...

Assertion : Work-energy theorem can be applied for non-inertial frames also.
Reason : Earth is a non-inertial frame.

A

If both Assertion and Reason are true and the Reason is correct explanation of the Assertion.

B

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

C

If Assertion is true, but the Reason is false

D

If Assertion is false but the Reason is true.

Text Solution

AI Generated Solution

The correct Answer is:
To solve the given question, we need to analyze the assertion and the reason provided: **Assertion:** Work-energy theorem can be applied for non-inertial frames also. **Reason:** Earth is a non-inertial frame. ### Step-by-Step Solution: 1. **Understanding the Work-Energy Theorem:** The work-energy theorem states that the work done on an object is equal to the change in its kinetic energy. This theorem is generally applicable in inertial frames of reference. **Hint:** Recall the definition of the work-energy theorem and its application in inertial frames. 2. **Non-Inertial Frames:** A non-inertial frame is one that is accelerating or rotating. In such frames, fictitious or pseudo-forces must be considered to apply Newton's laws of motion. **Hint:** Identify what makes a frame non-inertial and the implications of that on the application of physical laws. 3. **Application of the Work-Energy Theorem in Non-Inertial Frames:** The work-energy theorem can still be applied in non-inertial frames by introducing pseudo-forces. When analyzing motion in a non-inertial frame, we can account for these pseudo-forces to effectively treat the frame as inertial for the purposes of applying the work-energy theorem. **Hint:** Think about how pseudo-forces can modify the dynamics in a non-inertial frame. 4. **Analyzing the Reason:** The Earth is often considered a non-inertial frame due to its rotation and the effects of gravity. However, for many practical problems, we treat it as an inertial frame because the effects of its non-inertial nature are negligible. **Hint:** Consider the implications of Earth's rotation and gravity on the motion of objects. 5. **Conclusion:** - The assertion is true: The work-energy theorem can indeed be applied in non-inertial frames by considering pseudo-forces. - The reason is also true: Earth is a non-inertial frame. - However, the reason does not correctly explain the assertion because simply stating that Earth is a non-inertial frame does not clarify why the work-energy theorem can be applied in such frames. ### Final Answer: Both the assertion and reason are true, but the reason does not provide a correct explanation for the assertion. Therefore, the correct choice would be that both statements are true, but the reason is not a correct explanation of the assertion.
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