An astronaut in a starship travels to a Centauri, a distance of approximately 4 ly as measured from Earth, at a speed of u/c = 0.8.(a) A radio signal is sent from Earth to the starship every 6 months, as measured by a clock on Earth. What is the time interval between reception of one of these signals and reception of the next signal aboard the starship? (b) A radio signal is sent from the starship to Earth every 6 months, as measured by a clock aboard the starship. What is the time interval between the reception of one of these signals and the reception of the next signal on Earth? (c) If the wavelength of the radio signal sent from Earth is 2 = 15 cm, to what wavelength must the starship's receiver be tuned?

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An astronaut in a starship travels to a Centauri, a distance of approximately 4 ly as
measured from Earth, at a speed of u/c = 0.8.(a) A radio signal is sent from Earth to the
starship every 6 months, as measured by a clock on Earth. What is the time interval
between reception of one of these signals and reception of the next signal aboard the
starship? (b) A radio signal is sent from the starship to Earth every 6 months, as measured
by a clock aboard the starship. What is the time interval between the reception of one of
these signals and the reception of the next signal on Earth? (e) If the wavelength of the
radio signal sent from Earth is 2 = 15 cm, to what wavelength must the starship's receiver
be tuned?
Transcribed Image Text:An astronaut in a starship travels to a Centauri, a distance of approximately 4 ly as measured from Earth, at a speed of u/c = 0.8.(a) A radio signal is sent from Earth to the starship every 6 months, as measured by a clock on Earth. What is the time interval between reception of one of these signals and reception of the next signal aboard the starship? (b) A radio signal is sent from the starship to Earth every 6 months, as measured by a clock aboard the starship. What is the time interval between the reception of one of these signals and the reception of the next signal on Earth? (e) If the wavelength of the radio signal sent from Earth is 2 = 15 cm, to what wavelength must the starship's receiver be tuned?
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