An object may be regarded to be at rest or in motion depending on the frame of reference chosen to view the object. Because of length contraction it would mean that the same rod may have two different lengths depending on the state of the observer. Is this true?
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Yes,Because of length contraction it would mean that the same rod may have two different lengths depending on the state of the observer is true.
Explanation:
- When a rod moves at a certain speed denoted as v, the contracted length is shown as = lo1 - v2c2, v < c
- where, is the rod’s length at rest. It is to be noted that when the length of the rod is measured from various frames, there will be a difference in the length too.
- So, depending on the observer’s state, there could be two different lengths the same rod could have.
- When the rod and the observer move in the same direction at the same speed denoted as v, then l is equal to , which is the length of the rod and the observer is equal. When they move in the opposite direction, the rod’s measured length is shown as l = lo1 - 4v2c2
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