Using a refracting telescope, you observe the planet Mars when it is 2.11 × 10 11 m 2.11×1011 m from Earth. The diameter of the telescope's objective lens is 0.949 m 0.949 m . What is the minimum feature size, in kilometers, on the surface of Mars that your telescope can resolve for you? Use 553 nm 553 nm for the wavelength of light.

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wagonbelleville wagonbelleville · Answer 1 · 2019-12-10T08:18:30+01:00

Answer:

y = 150 Km

Explanation:

given,

Distance of the planet Mars from earth D = 2.11 × 10¹¹ m

The diameter of the telescope's objective lens d = 0.949 m

The wavelength of light λ = 553 nm

= 553 x 10⁻⁹ m

resolution of the telescope = ?

[tex]y = \dfrac{1.22\lambda\ D}{d}[/tex]

[tex]y = \dfrac{1.22\times 553\times 10^{-9}\times 2.11 \times 10^{11}}{0.949}[/tex]

y = 150003 m

y = 150 Km

the minimum feature size is equal to y = 150 Km

okpalawalter8 okpalawalter8 · Answer 2 · 2022-04-01T11:38:01+02:00

The minimum feature size on the surface of Mars is mathematically given as

y = 150 Km

Question Parameter(s):

Using a refracting telescope, you observe the planet Mars when it is 2.11 × 10 11 m

Use 553 nm 553 nm for the wavelength of light.

Generally, the equation for the resolution of the telescope is mathematically given as

[tex]y = \frac{1.22\lambda\ D}{d}[/tex]

Thereofore

[tex]y = \frac{1.22*553\* 10^{-9}*2.11 * 10^{11}}{0.949}[/tex]

y = 150 Km

In conclusion, minimum feature size

y = 150 Km