Question

Constants Coherent electromagnetic waves with wavelength pass through a narrow slit of width a. The diffraction pattern is observed on a tall screen that is 2.00 m from the slit. When = 500 nm, the width on the screen of the central maximum in the diffraction pattern is 8.00 mm. Part A For the same slit and screen, what is the width of the central maximum when = 0.125 mm? Express your answer with the appropriate units. BA μΑ ? 2y = Value Units

Answer 1

Concept Single slit experimentin T central manina co o D Focyteter es o D from ole opp side 2 ola Tano adj side for small angles (Tano=0) (In Radian y Oz D

For diffraction Paltren d sing= d I for small angly Å I for 0 = 2 D clo ålo DX y = width of central manina (yty) 2D) 2y = 2 d Givers slit width za screen distance D= 2m wave length d = 500nm (Inano2109) d=500x109 m width of Central manina 2y = 8mm 24 281103 2DX .. slit width a= 29 a z DX y L2x2x 500x109 aa 8x103 az 2.58104 me

For a given wave length = 0.125x163 m a = D.125 mm da da a= 2.5X10 4 width of Central maxima za) 202 2DX 2y = d 2y = 2x2 x0.125x40 3 2.5810-4 Cman 2y = 2 metres 12y y