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.)