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What is the minimum diameter mirror on a telescope that would allow you to see details as small as 5.20 km on the moon some 384000 km away?
Question
What is the minimum diameter mirror on a telescope that would allow you to see details as small as 5.20 km on the moon some 384000 km away? Assume an average wavelength of 550 nm for the light received.
cm
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Physics
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2021-09-03T16:46:34+00:00
2021-09-03T16:46:34+00:00 1 Answers
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Answer:
= 4.96cm
Explanation:
distance between objects of moon = 5.20km = 5.2 × 10³ m
Wavelength of light, λ = 550nm = 5.50 × 10⁻⁷m
distance of moon, L = 384000 km = 3.84 × 10⁸m
formula for resolving power of two objects
d = (1.22 × λ ×L) / D
D = (1.22 × λ ×L) / d
D = (1.22 × 5.50 × 10⁻⁷ ×3.84 × 10⁸) / 5.2 × 10³
D = 4.96cm