Visible light passes through a diffraction grating that has 900 slits per centim

Question

Visible light passes through a diffraction grating that has 900 slits per centimeter, and the interference pattern is observed on a screen that is 2.62 m from the grating.

Part A

In the first-order spectrum, maxima for two different wavelengths are separated on the screen by 3.04 mm . What is the difference between these wavelengths?

Express your answer in meters.

Hints

Visible light passes through a diffraction grating that has 900 slits per centimeter, and the interference pattern is observed on a screen that is 2.62 m from the grating.

Part A

In the first-order spectrum, maxima for two different wavelengths are separated on the screen by 3.04 mm . What is the difference between these wavelengths?

Express your answer in meters.

Hints

Explanation / Answer

slit density = 900 slits per centimeter,

d = L/N = 1/density  

= 1/900 = 0.0011cm

= 1*10^-2 cm

m = d sin

sin = m/d
sin = tan
m/d = y/L

y = mL/d

= d y /m L

= d y/ mL

(1*10^-2/900) m)*(3.04*10^-3 m)/(2.62 m)

1.44*10^-8 m

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