- This problem involves length contraction, a phenomenon predicted by special relativity. The formula for length contraction is L = L₀ sqrt(1 - v²/ c²), where L₀ is the proper length (length at rest), v is the velocity, and c is the speed of light. - Given L₀ The contracted length L = 100 m 0.6 = 60 m. - However, the options are given in centimeters. If we assume the initial length was 100 cm instead of 100 m, then the contracted length would be L = 100 cm 0.6 = 60 cm. This matches option A. - If the initial length was 100 m, the answer is 60 m, which is 6000 cm. None of the options match 6000 cm. - Given the options, it is most probable that the question either intended the initial length to be 100 cm or there is a unit inconsistency in the options, with 60 cm being the result if the initial length was 100 cm. We proceed with the assumption that leads to a valid option.
A rocket 100 m long at rest starts to move with uniform motion of 0.8 C. What is its length as seen by an observer at rest?
Asked in TNPSC CS Prelims 2014 · Topic: Mechanics (Special Theory of Relativity (Lorentz Transformations, Relativistic Dynamics))
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