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 10 km/s. Give your answer to at least four decimal places.)
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 10 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, \( \frac{V_r}{c} = \frac{\Delta \lambda}{\lambda_0} \)*)
(*Note: the speed of light is 3.0 x 10^5 km/s. Give your answer to at least four decimal places.*)
\[ \boxed{\phantom{64.1234}} \] cm](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F10987a05-6004-4fb1-8846-eb9d55f60d7e%2F4124a66a-51e9-4dbb-bcb4-03c01053f3d2%2Finab2b_processed.png&w=3840&q=75)
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, \( \frac{V_r}{c} = \frac{\Delta \lambda}{\lambda_0} \)*)
(*Note: the speed of light is 3.0 x 10^5 km/s. Give your answer to at least four decimal places.*)
\[ \boxed{\phantom{64.1234}} \] cm
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