It\'s a clear, calm night. You and your sweetheart are enjoying the beautiful re
ID: 1448963 • Letter: I
Question
It's a clear, calm night. You and your sweetheart are enjoying the beautiful reflection in the sea of the full moon above. Your mind begins to drift as you think about physics and geometrical optics.
The moon is far away, nearly 60 times the radius of the earth away, you muse out loud. Your lover gets that "oh, not again" look that has become so familiar and dear to you. How far away must be the image of the moon reflected from the sea's surface, you silently wonder?
At first, you think the answer is as simple as your reflection in the bathroom mirror. Then you realize the significance of floating on a sea that wraps around the earth. Ahhh, now you have the answer.
Explain your answer
Explanation / Answer
Here ,
let the radius of earth is R
object distance , do = 60 * R
focal length of the earth mirror
f = - R/2
Using lens formula
1/f = 1/di + 1/do
-2/R = 1/(50R) + 1/di
di = -0.495 * R
the image of the moon reflected from the sea's surface is at the distance -0.495 * R
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