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Two starships, the Enterprise and the Constitution, are

Chapter 25, Problem 22P

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QUESTION:

Problem 22P

Two starships, the Enterprise and the Constitution, are approaching each other head-on from a great distance. The separation between them is decreasing at a rate of 782.5 km/s. The Enterprise sends a laser signal toward the Constitution. If the Constitution observes a wavelength λ = 670.3 nm, what wavelength was emitted by the Enterprise?

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QUESTION:

Problem 22P

Two starships, the Enterprise and the Constitution, are approaching each other head-on from a great distance. The separation between them is decreasing at a rate of 782.5 km/s. The Enterprise sends a laser signal toward the Constitution. If the Constitution observes a wavelength λ = 670.3 nm, what wavelength was emitted by the Enterprise?

ANSWER:

Step 1 of 3

As the starships are move towards each other, the laser from Enterprise will be observed by Constitution as per Doppler Effect

where

 is the original frequency of light

 is the frequency observed by observer

 is velocity of galaxy with respect to Earth

 is the speed of light

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