Consider a telescope with a small circular aperture of diameter 2.0 centimeters.
ID: 1616458 • Letter: C
Question
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 at which the two can be resolved if their angular separation is 3.0×105 radians? Express your answer in nanometers to two significant figures. = 490 nm
Correct Part B Calculate the angular separation 1 at which two point sources of wavelength 600 nanometers are just resolved when viewed through a circular aperture of diameter 1.5 centimeters. Express your answer in radians to three significant figures. 1 = rad
JUST NEED PART B
Explanation / Answer
A.)sin = 1.22(/d)
= dsin/1.22 = (0.02)sin(3.0x10^-5) / 1.22 = 490 nm
B.)A = 1.22 /d , where
A = angular separation, in radians
A = (1.22)(600e-9 m) / (1.5*10^-2 m)
A = 4.88*10^-5 rad