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Lunar astronauts placed a reflector on the Moon’s surface, off which a laser beam is periodically reflected. The distance to the Moon is calculated from the round-trip time. (a) To what accuracy in meters can the distance to the Moon be determined, if this time can be measured to 0.100 ns?

Respuesta :

Answer:

accuracy in measured value of distance, d' = 0.015 m

Given:

measured time, t = 0.100 ns = [tex]0.1\times 10^{-9} s[/tex]

Solution:

To calculate the accurate distance to the moon with the reflected lased beam, the distance can be calculated by utilizing the time taken for one round trip;

t = [tex]\frac{2d'}{c}[/tex]                        (1)

where,

d' = distance  

From eqn (1):

[tex]0.1\times 10^{-9} s\ times 3\times 10^{8} = 2d'[/tex]

d' = 0.015 m

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