Question

The star Sirius is actually a binary star (i.e. two stars very close to each other). They are so close that they cannot be resolved into two stars with the naked eye. In order to be able to see them as two stars (i.e. to resolve them) we need a telescope with a large size lens. Calculate the minimum diameter of the telescope objective lens that is needed. The angle that the two stars subtend on the Earth is 10 arc-seconds. Take wavelength of light = 600 nm.Conversion factors:60 arc-seconds = 1 arc minute.60 arc-minutes = one arc degree.57.296 arc-degrees = One radian.Answer:

          The star Sirius is actually a binary star (i.e. two stars very close to each other). They are so close that they cannot be resolved into two stars with the naked eye. In order to be able to see them as two stars (i.e. to resolve them) we need a telescope with a large size lens. Calculate the minimum diameter of the telescope objective lens that is needed. The angle that the two stars subtend on the Earth is 10 arc-seconds. Take wavelength of light = 600 nm.Conversion factors:60 arc-seconds = 1 arc minute.60 arc-minutes = one arc degree.57.296 arc-degrees = One radian.Answer:

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University Physics with Modern Physics

Hugh D. Young 14th Edition

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Solved by Expert Satpal Satpal

06/03/2021

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The formula for the minimum resolvable angle (θ) in radians is given by: \[ \theta = 1.22 \frac{\lambda}{D} \] where: - \( \theta \) is the minimum resolvable angle in radians, - \( \lambda \) is the wavelength of light (in meters), - \( D \) is the diameter of Show more…

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The star Sirius is actually a binary star (i.e. two stars very close to each other). They are so close that they cannot be resolved into two stars with the naked eye. In order to be able to see them as two stars (i.e. to resolve them) we need a telescope with a large size lens. Calculate the minimum diameter of the telescope objective lens that is needed. The angle that the two stars subtend on the Earth is 10 arc-seconds. Take wavelength of light = 600 nm.Conversion factors:60 arc-seconds = 1 arc minute.60 arc-minutes = one arc degree.57.296 arc-degrees = One radian.Answer:

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