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An observer on Earth receives a signal of 6.614 THz. Thirty minutes later, he receives another...

An observer on Earth receives a signal of 6.614 THz. Thirty minutes later, he receives another signal, followed by a third signal 24.331 minutes later after the second. The observer on Earth knows that the ship should be sending signals at a 2.500THz. How far away is the ship from Earth and how often is the captain of the ship sending signals according to her watch? (Hint: look up the formula for the Relativistic Doppler Shift.)

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