Question

Lunar astronauts placed a reflector on the Moon for laser distance calculations. With a measurement precision of 0.100 ns, what accuracy in meters can be achieved for the Moon's distance?

a) 30 m
b) 45 m
c) 60 m
d) 75 m

Answer 1

The accuracy in meters that can be achieved for the Moon's distance is approximately 30 m.

Step-by-step explanation:

The accuracy in meters that can be achieved for the Moon's distance can be determined using the formula:

Accuracy = Speed of light x Time precision

Given that the speed of light is approximately 299,792,458 meters per second and the time precision is 0.100 ns (nanoseconds), we can calculate the accuracy as:

Accuracy = 299,792,458 m/s x 0.100 ns = 29.9792458 m

Therefore, the accuracy in meters that can be achieved for the Moon's distance is approximately 30 m.