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Jane asked in Science & MathematicsPhysics · 1 week ago

Physics problem, thank you so much ?

Two stars are 2.8 × 1011 m apart and are equally distant from the earth. A telescope has an objective lens with a diameter of 1.83 m and just detects these stars as separate objects. Assume that light of wavelength 550 nm is being observed. Also, assume that diffraction effects, rather than atmospheric turbulence, limit the resolving power of the telescope. Find the maximum distance that these stars could be from the earth.

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    Lv 7
    7 days ago
    Favorite Answer

    It seems to me that the "eyeball refraction" present in the taillights problem is absent here, making it simper.

    a*sinΘ = 1.22λ

    1.83m * sinΘ = 1.22 * 550e-9m → → Θ = 3.67e-7 rads

    d = s / Θ = 2.8e11m / 3.67e-7rads = 7.6e17 m

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