The first order maximum due to a grating when using blue light of wavelength 351

Question

The first order maximum due to a grating when using blue light of wavelength 351 nm is at 14.2 degrees.

a) What is the slit separation in mm for this grating?
(.00143) - RIGHT!

b) What are the number of lines/mm in this grating?
(699.3) - RIGHT!

c) What is in meters the position y1 on the screen, relative to the central maximum of that same first order maximum if the viewing screen is located 0.50 m to from the slits?
Not Right! (12.3) Discuss this question

d) What is then in meters the position y2 on the screen, relative to the central maximum of the second order maximum?

Explanation / Answer

part C : In interfreence or diffraction pattern,

the needed equation is Y = mLR/d---------------1

and d sin theta = mL--------------------2

where L = wavelgnth,

m = order = 1,2,3,4, ......... for brigth bands

m = 1.5, 2.5, 3.5, 4.5, ......for dark bands

R is the distance from slit to screen,

Y = disatnce from central spot to nth order fringe

use d sin theta = mL

d = 351 e -9/sin 14.2

d = 1.43 um

so here Y1 = 1 * 351 e -9 * 0.5/1.43 e-6

Y1 = 0.122 m

-----------------------------------
part D:

Y2 = 2* 351 e -9 * 0.5/1.43 e-6

Y2 = 0.245 m

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