The Hubble Space Telescope has an aperture of 2.4 m and focuses visible light (400-700 nm). The Arecibo radio telescope in Puerto Rico is 30

Question

The Hubble Space Telescope has an aperture of 2.4 m and focuses visible light (400-700 nm). The Arecibo radio telescope in Puerto Rico is 305 m (1000 ft) in diameter (it is built in a mountain valley) and focuses radio waves of wavelength 75 cm.
Under optimal viewing conditions, what is the smallest crater that each of these telescopes could resolve on our moon?

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Thiên Ân 5 years 2021-07-21T11:50:48+00:00 1 Answers 164 views 1

Answers ( )

  1. niczorrrr
    0
    2021-07-21T11:52:43+00:00
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    Answer:

    y_{hubble} = 77\ \ m

    y_{aceribo} = 1.1*10^6 \ \ m

    Explanation:

    what is the smallest crater that each of these telescopes could resolve on our moon?

    For moon ;

    s = 3.8 × 10 ⁸ m

    y = 1.22 λs/D

    where;

    λ = 400 nm = 400× 10 ⁻⁹

    D = 2.4 m

    The smallest crater for the hubble space is calculated as follows:

    y_{hubble} = 1.22*400*10^{-9}*3.8*10^8/2.4

    y_{hubble} = 77\ \ m

    For Aceribo ;

    y = 1.22 λs/D

    where :

    λ = 75 cm = 0.75 m

    D = 305 m

    y_{acerbo} = 1.22*0.75 *3.8*10^8/305

    y_{aceribo} = 1.1*10^6 \ \ m

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