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A particle is found to be at rest when s...

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)`. Select the possible options :

A

Both the frames re inertial

B

Both the frames are noninertial

C

`S_1` is inertial and `S_2` is noninertial

D

`S_1` is noninertial and `S_2` is inertial.

Text Solution

AI Generated Solution

The correct Answer is:
To solve the question, we need to analyze the conditions given for the two frames of reference, S1 and S2, and determine their nature (inertial or non-inertial). ### Step-by-Step Solution: 1. **Understanding the Frames**: - Frame S1 sees the particle at rest. - Frame S2 sees the particle moving with a constant velocity. 2. **Definition of Inertial Frames**: - An inertial frame is one in which Newton's laws of motion hold true, and objects either remain at rest or move at a constant velocity unless acted upon by a force. - A non-inertial frame is one that is accelerating or rotating, where fictitious forces may need to be considered. 3. **Analyzing Frame S1**: - Since the particle is at rest in frame S1, we can conclude that S1 is an inertial frame. This is because, in an inertial frame, a particle that is not acted upon by any net external force will remain at rest. 4. **Analyzing Frame S2**: - The particle is moving with a constant velocity in frame S2. For a frame moving with constant velocity relative to an inertial frame, it is also classified as an inertial frame. This is because it does not experience any acceleration. 5. **Conclusion**: - Since both S1 and S2 are inertial frames (S1 is at rest and S2 is moving with constant velocity), the correct option is that both frames are inertial. ### Final Answer: Both frames are inertial.
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