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DENIUS [597]
3 years ago
5

Find the maximum number of lines per centimeter a diffraction grating can have and produce a first-order maximum for the largest

wavelength of visible light. (Assume the wavelengths of visible light range from 380 nm to 760 nm in a vacuum.)
Physics
1 answer:
german3 years ago
7 0

To solve this problem it is necessary to apply the concepts related to constructive interference for multiple split.

The precaution is given by,

dsin\theta = m\lambda

Where,

d = Distance between the slits

\theta = Angle between the path and a line from the slits to the screen

m = Any integer, representing the number of repetition of the spectrum.

\lambda =Wavelength

For first order equation we have that m = 1 then

d sin\theta = \lambda

As the maximum number of lines corresponds to the smallest d values, we have that \theta = 90

d sin90=\lambda

d = 760nm

Therefore the maximum numbers of lines per centimeter would be

N = \frac{10^{-2}m}{d}

N = \frac{10^{-2}m}{760*10^{-9}m}

N = 13157.89

The maximum numbers of lines per centimeter is 13158

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