anonymous
  • anonymous
Two stars that are very close may appear to be one. The ability of a telescope to separate their images is called its resolution. The smaller the resolution, the better a telescope's ability to separate images in the sky. In a refracting telescope, resolution θ (see the figure) can be improved by using a lens with a larger diameter D. The relationship between θ in degrees and D in meters is given by sin (θ) = 1.22λ/D, where λ is the wavelength of light in meters. The largest refracting telescope in the world is at the University of Chicago. At a wavelength of λ = 57010-9 meter, its resolution
Mathematics
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jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
is 0.00003766°. Approximate the diameter of the lens.
anonymous
  • anonymous
you're given theta and gamma: λ = 5.70 * 10^-9 meter θ = 0.00003766° you have the equation: sin θ = 1.22λ/D and want to solve for D: D sin θ = 1.22λ D = 1.22λ/sin θ plug it in: D = ~0.0106
anonymous
  • anonymous
thank you!!!!

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anonymous
  • anonymous
the units are meters btw
anonymous
  • anonymous
ok

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