# Problem: Consider a telescope with a small circular aperture of diameter 2.0 centimeters.Part A: If two point sources of light are being imaged by this telescope, what is the maximum wavelength λ at which the two can be resolved if their angular separation is 3.0×10−5 radians?Part B: Calculate the angular separation θ1 at which two point sources of wavelength 600 nanometers are just resolved when viewed through a circular aperture of diameter 1.5 centimeters.

###### FREE Expert Solution

Angular resolution:

$\overline{){\mathbf{s}}{\mathbf{i}}{\mathbf{n}}{\mathbf{\theta }}{\mathbf{=}}{\mathbf{1}}{\mathbf{.}}{\mathbf{22}}\frac{\mathbf{\lambda }}{\mathbf{d}}}$

d is the diameter of the telescope.

96% (336 ratings) ###### Problem Details

Consider a telescope with a small circular aperture of diameter 2.0 centimeters.

Part A: If two point sources of light are being imaged by this telescope, what is the maximum wavelength λ at which the two can be resolved if their angular separation is 3.0×105 radians?

Part B: Calculate the angular separation θ1 at which two point sources of wavelength 600 nanometers are just resolved when viewed through a circular aperture of diameter 1.5 centimeters.