Part A. A single slit is 0.01mm wide and is illuminated by 600nm light. What is

Question

Part A.

A single slit is 0.01mm wide and is illuminated by 600nm light. What is the angle between a ray drawn from the slit to the center of the pattern on a distant screen and a ray drawn from the slit to the second dark line to one side? Give your answer in radians and provide 3 significant digits.

Part B

A single slit is 0.01mm wide and is illuminated by 600nm light. A second, identical slit is placed 0.045mm away from the first ( center to center distance ). What is the angle between a ray drawn from the slits to the center of the pattern on a distant screen and a ray drawn from the slits to the first point where a minimum from the single slit pattern occurs at the same location as a minimum from the double slit pattern? Give your answer in radians and provide 3 significant digits

Please show work and if my calculator has to be in degrees or radians for this.

Explanation / Answer

(a) We know for single slit
Sin(angle) = nL/a where n is the order of fringe, L is the wavelength and a is the slit width
Sin(angle) = (2*600*10-9) / (0.01*10-3)
Angle = 6.892 degrees = 0.12 radian
(b) For double slit we know that
tan(angle) = L/2d where d is the distance between two slit
= (600*10-9) /(2*0.045*10-3) =
Angle = 0.381 degree = 0.0066 radian.

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