Question

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

Part AIf two point sources of light are beingimaged by this telescope, what is the maximum wavelength at which the two can beresolved if their angular separation is radians?Express your answer in nanometers totwo significant figures.=490

Part B
to see the applet copy and paste the link below in brouser
http://mp.pearsoncmg.com/probhtml/applets/resolve.html
In thisapplet, change the settings to match the situation in PartA. Notice how the diffraction pattern looks when the two sourcesare at the resolution limit(i.e., just resolved). Now change thewavelength to 650 nanometers and the aperture diameter to 1.5centimeters. Use the applet to roughly determine at whatangularseparation the two points are just resolved.

Express your answer in radians to two significant figures.5.3×10⁻⁵

Part C
Calculate the angular separation $theta_1$ at which twopoint sourcesof wavelength 600 nanometers are just resolved when viewed througha circular aperture of diameter 1.5 centimeters. Use the applet tocheck whetheryour answer is reasonable.Express your answer in radians to three significant figures

$theta_1$ =________________ ????


PLEASE NEED HELP JUST WITH PART C
thanks

Answer 1

If the distance is greater, the two points are wellresolved and if it is smaller, they are not resolved.Mathematically, this translates intosinθ = 1.22λ/ D
θ is the angularresolution,

λ is the wavelength of light,

and D is the diameter of the lens' aperture.

from the above relation we can solve for wavelength.