Question

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

Answer 1

is 0.00003766°. Approximate the diameter of the lens.

Answer 2

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

Answer 3

thank you!!!!

Answer 4

the units are meters btw

Answer 5

ok