Frequency of the signal received in beginning
Answer to Problem 39P
frequency of the signal received in beginning is
Explanation of Solution
Initially the signal sent by Marry will be received by the Frank. The source emitting n waves in a time interval T, here Marry going away with velocity (v) from frank that is source is moving away from observer
Write the equation to get the distance travelled by a signal. Thus,
Write the equation to get the wavelength of waves emitting n waves in a time interval T and travelling a distance d in that time interval. Thus,
Write the equation to show the relation between frequency and wavelength. Thus,
Where, c is the
Substitute the value of wavelength from equation (II) in above equation. Thus,
Write the equation to get the total number of the signals in time interval
Where,
Substituting the value of n from equation (IV) in equation (III). Thus
Substitute the
Because
Initially Marry and Frank receives same frequency.
At the end of the trip Marry going away from Frank thus,
Thus, marry initially receives signals at a rate of
And, Frank initially receives signals at a rate of
Where, L is the distance of the Marry’s Journey from earth to star
Conclusion:
Therefore, frequency of the signal received in beginning is
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Chapter 2 Solutions
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