PLEASE EXPLAIN THE VARIABLES IN YOUR FORMULAS. ALSO PLEASE DO NOT SIMPLY GUESS A

Question

PLEASE EXPLAIN THE VARIABLES IN YOUR FORMULAS. ALSO PLEASE DO NOT SIMPLY GUESS AT HOW TO SOLVE THE PROBLEM. A CONCEPTUAL EXPLANATION AND INSIGHT WOULD BE GREATLY APPRECIATED AS WELL. IF YOU DO NOT KNOW WHAT YOU ARE DOING DO NOT ANSWER. THANKS IN ADVANCE FOR THE HELP!

A sodium lamp produces yellow light with wavelengths ? and ? + ??, where ? = 589.00 nm and ?? = 0.59 nm.

This light is incident on a diffraction grating with a slit spacing of 23 ?m, and the diffracted light illuminates a screen 3.8 m away. What is the distance on the screen between the sixth bright fringes for these two wavelengths?

m?

Explanation / Answer

Y = n?D/d

Y = distance on screen

n = number of maxima

D = distance between grating & screen

d = slit spacing

Y6-Y'6 = n??D/d

= 6*0.59*10-9*3.8/23*10-6

= 0.000584869565 m

= 0.585 mm

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