Question

Problem 28.59 39 of 46 1 Review Alens that is "optically perfect" is still limited by diffraction effects. Suppose a lens has a diameter of 140 mm and a focal length of 660 mm. Part A Find the angular width (that is, the angle from the bottom to the top) of the central maximum in the diffraction pattern formed by this lens when illuminated with 570 nm light. Express your answer using two significant figures. ΙΙ ΑΣφ ? 0= rad Submit Previous Answers Request Answer * Incorrect; Try Again; 3 attempts remaining Part B What is the linear width (diameter) of the central maximum at the focal distance of the lens? Express your answer using two significant figures. ΠΙ ΑΣΦ ? 2y = im Submit Request Answer

A lens that is "optically perfect" is still limited by diffraction effects. Suppose a lens has a diameter of 140 mm and a focal length of 660 mm.

PART A: Find the angular width (that is, the angle from the bottom to the top) of the central maximum in the diffraction pattern formed by this lens when illuminated with 570 nm light.

Express your answer using two significant figures.

PART B: What is the linear width (diameter) of the central maximum at the focal distance of the lens?

Express your answer using two significant figures.

Show with steps, please! thank you!!

Answer 1

given 012 D: 140mm f: 660 mm 0.66m 570nm Szexio9m ay Angular radius of central mani 1:22ND 1.22570xiof -6 4.967 X10 sad. 0.14 Angular diameter / width 20 = 2x4.96 7 X10 9.934810. gael B) Radius ds central mo R = 1:22f1 Dia of Central mcha za d = &R 2X1122x.fi 2X1-22 19 2X1,22X 0:66X570X10 0.14 6.556 x 10 6.56 um

given 012 D: 140mm f: 660 mm 0.66m 570nm Szexio9m ay Angular radius of central mani 1:22ND 1.22570xiof -6 4.967 X10 sad. 0.14 Angular diameter / width 20 = 2x4.96 7 X10 9.934810. gael B) Radius ds central mo R = 1:22f1 Dia of Central mcha za d = &R 2X1122x.fi 2X1-22 19 2X1,22X 0:66X570X10 0.14 6.556 x 10 6.56 um