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Unless indicated otherwise, assume the speed of

Chapter 16, Problem 53E

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QUESTION:

Unless indicated otherwise, assume the speed of sound in air to be v = 344 m/s. How fast (as a percentage of light speed) would a star have to be moving so that the frequency of the light we receive from it is 10.0% higher than the frequency of the light it is emit-ting? Would it be moving away from us or toward us? (Assume it is moving either directly away from us or directly toward us.)

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QUESTION:

Unless indicated otherwise, assume the speed of sound in air to be v = 344 m/s. How fast (as a percentage of light speed) would a star have to be moving so that the frequency of the light we receive from it is 10.0% higher than the frequency of the light it is emit-ting? Would it be moving away from us or toward us? (Assume it is moving either directly away from us or directly toward us.)

ANSWER:

Solution 53E Introduction We will use the formula of doppler effect of light to calculate the speed of the star. Step 1 (a) The doppler effect in the light is given by fr= c+vfs Let us now consider that the source frequency is f . Since the frequency measured by the receiver is f is s r 10% then we have f =rf + s.1f = s.1f . s So from the above equation we have So the star would have to move with 4.8% of the speed of the light.

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