Respuesta :
Answer: The angle of diffraction is 0.498°
Explanation:
To calculate the angle of diffraction, we use the equation given by Bragg, which is:
[tex]n\lambda =2d\sin \theta[/tex]
where,
n = order of diffraction = 3
[tex]\lambda[/tex] = wavelength of the light = [tex]580nm=5.80\times 10^{-7}m[/tex] (Conversion factor: [tex]1m=10^{9}nm[/tex] )
d = spacing between the crystal planes = 0.100 mm = [tex]1.0\times 10^{-4}[/tex] (Conversion factor: 1 m = 1000 mm)
[tex]\theta[/tex] = angle of diffraction = ?
Putting values in above equation:
[tex]3\times 5.80\times 10^{-7}=2\times 1.00\times 10^{-4}\sin \theta\\\\\sin \theta = 0.0087\\\\\theta=\sin ^{-1} (0.0087)=0.498[/tex]
Hence, the angle of diffraction is 0.498°
The angle for third order maximum is [tex]0.498^\circ[/tex].
Given that, wavelength of yellow light is 580-nm. Distance between the slits on which the light is falling is 0.100 mm.
The angle for the the third order maximum can be calculated by the formula given below.
[tex]m\lambda = 2dsin\theta[/tex]
where, [tex]\lambda[/tex] is the wavelength of light, [tex]d[/tex] is the distance between the slits and [tex]m[/tex] is the order of diffraction.
For the third order, [tex]m=3[/tex].
Substituting the values in the above formula, we get the angle for the third order maximum.
[tex]3\times580\times10^{-9} = 2\times 0.100\times 10^{-3}\times sin\theta[/tex]
[tex]sin\theta = \dfrac {3\times580\times10^{-9}}{2\times0.100\times10^{-3}}[/tex]
Simplifying the above equation as,
[tex]sin\theta = 0.0087\\\theta = sin^{-1}(0.0087)[/tex]
[tex]\theta = 0.498^\circ[/tex]
Hence, the angle for third order maximum is [tex]0.498^\circ[/tex].
For more details, follow the link given below.
https://brainly.com/question/1812927.
