Telescope Filter

What is the minimum size telescope needed to resolve this binary?

An observer is using a telescope to resolve a binary star with a separation of 0.40 arcseconds using a filter which passes light at 5000 A. What is the minimum size telescope needed to resolve the binary?

Steps would be much appreciated.

The Raleigh Criterion for angular resolution is probably the limiting factor here.

sin(theta)=1.22*(wavelength)/(diameter of aperture)
Rerranging:
Diameter=1.22*(wavelength)/(sin(theta))
=1.22*(5000e-10 m)/(sin(1.94e-6 radians))
=.31 meters in diameter

Moon filmed 6/12/08 Green filter 6" telescope




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