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Statement I: A particle is found to be a...

Statement I: A particle is found to be a rest when seen from a frame `S_(1)` and moving with a constant velocity when seen from another frame `S_(2)`. We can say both the frames are inertial.
Statement II: All frames moving uniformly with respect to an inertial frame are themselves inertial.

A

Statement I is true, statement II is true, Statement II is the correct explanation for statement I.

B

Statemet I is true, Statement II is true , Statement II is NOT the correct explanation for Statement I

C

Statement I is True, Statement II is False.

D

Statement I is False, Statement II is true

Text Solution

AI Generated Solution

The correct Answer is:
To analyze the statements provided in the question, we can break down the reasoning step by step. ### Step 1: Understanding Statement I - **Statement I**: A particle is found to be at rest when seen from a frame \( S_1 \) and moving with a constant velocity when seen from another frame \( S_2 \). - **Analysis**: If a particle is at rest in frame \( S_1 \), it means that there is no net force acting on it in that frame, and thus it is in an inertial frame. If the same particle is moving with a constant velocity in frame \( S_2 \), it implies that frame \( S_2 \) is also an inertial frame because the laws of motion hold true in both frames. Therefore, both frames \( S_1 \) and \( S_2 \) are inertial frames. ### Step 2: Understanding Statement II - **Statement II**: All frames moving uniformly with respect to an inertial frame are themselves inertial. - **Analysis**: This statement is a fundamental principle of classical mechanics. If a frame is moving at a constant velocity relative to an inertial frame, it does not experience any acceleration. Therefore, it also satisfies Newton's first law of motion, which states that an object will remain at rest or in uniform motion unless acted upon by a net external force. Hence, all frames moving uniformly with respect to an inertial frame are indeed inertial frames. ### Conclusion - Both statements are correct. However, Statement II is not a direct explanation of Statement I; rather, it is a broader principle that supports the conclusion drawn in Statement I. ### Final Answer - Both Statement I and Statement II are correct, but Statement II does not serve as a direct explanation for Statement I. ---
To analyze the statements provided in the question, we can break down the reasoning step by step. ### Step 1: Understanding Statement I - **Statement I**: A particle is found to be at rest when seen from a frame \( S_1 \) and moving with a constant velocity when seen from another frame \( S_2 \). - **Analysis**: If a particle is at rest in frame \( S_1 \), it means that there is no net force acting on it in that frame, and thus it is in an inertial frame. If the same particle is moving with a constant velocity in frame \( S_2 \), it implies that frame \( S_2 \) is also an inertial frame because the laws of motion hold true in both frames. Therefore, both frames \( S_1 \) and \( S_2 \) are inertial frames. ### Step 2: Understanding Statement II - **Statement II**: All frames moving uniformly with respect to an inertial frame are themselves inertial. ...
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