An astronaut approaching the moon sends a ratio signal of frequency `5 xx 10^(3) MHz` towards moon to find the speed of his rocket. The frequency of waves reflected back from the moon is `86 kHz` more than the original frequency. Calculate the velocity of the rocket relative to the moon.

Answer

`2.58 km s^(-1)`

Explanation

`v = (1)/(2) xx (Delta v)/(v)c = (1)/(2) xx (86)/(10^(3))/(5 xx 10^(9)) xx 3 xx 10^(8)`
`= 2.58 xx 10^(3) ms^(-1)`
`= 2.58 km s^(-1)`