Adiffraction grating has 2605 lines per centimeter, and it produces a principal maximum at = 30.3°. the grating is used with light that contains all wavelengths between 410 and 660 nm. what are the two wavelengths of the incident light that could have produced this maximum? give the longer wavelength as answer (a).

so m = 3 ,4 wavelength between 410 to 660 nm  so 484.25 nm and 645.6 nm light produce principal maximum

Explanation:

given data

grating =2605 lines per centimeter

angle = 30.3°

wavelengths between 410 and 660 nm

to find out

two wavelengths of the incident light that could have produced this maximum

solution

we know diffraction grating has 2605 lines / cm

so d = ( 1/ 2605 cm )

and we know equation

d sinθ = m× λ

so λ = d sinθ / m

θ = 30.3 so sin30.3 =

λ = (1/2605) sin30.3 / m

λ = (1937 nm ) / m

here put m = 1 , 2 , 3 , 4

if m = 1

λ = (1937 nm ) / 1  = 1937 nm

if m = 2

λ = (1937 nm ) / 2  = 968.5 nm

if m = 3

λ = (1937 nm ) / 3 = 645.6 nm

if m = 4

λ = (1937 nm ) / 4 = 484.25 nm

so that m = 3 ,4 wavelength between 410 to 660 nm  so 484.25 nm and 645.6 nm light produce principal maximum

and longest wavelength is between 410 to 660 nm is 645.6 nm

change tension

as we know our atmosphere or air have different levels. every level has other gasses, and every gas has another permeability. when the light comes from lower permeability to higher permeability, it changes its direction. so that means that when the light comes from the moon to the earth, it changes it's direction many more times. it basically means that the shape of the light part of the moon is changed on the earth.

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