The minimum feature size, in kilometers, on the surface of Mars that your telescope can resolve for you is 140km.
Telescope is device through which we can see the distant objects very clearly as it seems like they are some meters away.
Distance of the Mars from the Earth D = 1.99 x 10¹¹ m
Diameter of telescope's objective lens d = 0.977 m
The wavelength of light λ in m, λ = 563nm = 563 x 10⁻⁹ m
The distance y or the minimum feature size =1.22λD/d
Substitute the value, we get
y = 1.22 x 563 x 10⁻⁹ x 1.99 x 10¹¹ /0.977
y = 140 km (approximately)
Thus, the minimum feature size, in kilometers, on the surface of Mars that your telescope can resolve for you is 140km.
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