Suppose you send a probe to land on Mercury, and the probe transmits radio signals to earth at a wavelength of 64.0000 cm. You listen for the probe when Mercury is moving away from Earth at its full orbital velocity of 48 km/s around the Sun. What wavelength (in cm) would you have to tune your radio telescope to detect that signal? (Hint: Use the doppler shift formula, ) (Note: the speed of light is 3.0 x 105 km/s. Give your answer to at least four decimal places.)

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Suppose you send a probe to land on Mercury, and the probe transmits radio signals to earth at a wavelength of 64.0000 cm. You listen for the probe when Mercury is moving away from Earth at its full orbital velocity of 48 km/s around the Sun. What wavelength (in cm)
would you have to tune your radio telescope to detect that signal? (Hint: Use the doppler shift formula,
V,
:) (Note: the speed of light is 3.0 x 10° km/s. Give your answer to at least four decimal places.)
cm
Transcribed Image Text:Suppose you send a probe to land on Mercury, and the probe transmits radio signals to earth at a wavelength of 64.0000 cm. You listen for the probe when Mercury is moving away from Earth at its full orbital velocity of 48 km/s around the Sun. What wavelength (in cm) would you have to tune your radio telescope to detect that signal? (Hint: Use the doppler shift formula, V, :) (Note: the speed of light is 3.0 x 10° km/s. Give your answer to at least four decimal places.) cm
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