swagadon
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#1
The Moon is moving away from the Earth at 10 m s−1
. A beam of laser light
from Earth is bounced off a mirror left on the Moon by the Apollo astronauts. What
is the relation between the frequencies of the reflected signal and the laser, as observed
on Earth?

my working-

Fm=frequency observed in moon
Fl=frecuency of laser
Fe=frequency observed in earth after reflected

in frame of moon, earth is moving away at 10 so the frequency observed in moon frame is

Fm = Fl\sqrt {\dfrac{c-10}{c+10}}

the light is reflected with the same frequency so the frequency observed in earth is

Fe = Fm\sqrt {\dfrac{c-10}{c+10}} = Fl\dfrac{c-10}{c+10}

is this correct? is looks like the light would have a lower frequency so lower energy in the end
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