Final answer:
The rate at which we receive the information is 407 Hz.
The correct option is d.
Step-by-step explanation:
The frequency of the received information can be calculated using the formula for time dilation:
f' = f / (1 - (v/c))
Where f' is the frequency received, f is the frequency transmitted, v is the velocity of the spacecraft, and c is the speed of light.
Plugging in the given values:
f' = 700 Hz / (1 - (0.84 * 3 * 10^8 m/s) / (3 * 10^8 m/s)) = 407 Hz
Therefore, the rate at which we receive the information is 407 Hz (option d).
The correct option is d.