Suppose you send a probe to land on Mercury, and the probe transmits radio signals to earth at a wavelength of 21.0000 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 v, 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.) cm

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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 21.0000 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 \( 3.0 \times 10^5 \) km/s. Give your answer to at least four decimal places. 

[Input box for answer] __________ 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 21.0000 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 \( 3.0 \times 10^5 \) km/s. Give your answer to at least four decimal places. [Input box for answer] __________ cm
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