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A plane relectromagentic wave from of frequency v_(0) falls normally on the surfave of a mirror approaching with a relativistic velocity v. Then frequency of the reflected wave will be (given beta= (v)/(c)): |
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Answer» `(1-beta)/(1 + beta)v_(0)` `omega. = (C + v)/(c) omega_(0)` Frequency of waves reflected from mirror and going towards source. `omega.. = (c)/(c-v) omega.` `therefore omega.. = (c)/(c-v) xx (c+ v)/(c) omega_(0)` `omega.. = ((c+ v)/(c-v))omega_(0) = ((1 + v/c))/(1 -v/c) omega_(0) = ((1 + beta)/(1 - beta))omega_(0)` where `beta = v/c" therefore v.. = ((1 + beta)/(1- beta)) v_(0)` |
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