Answer:
λ = 2.62 x 10⁻¹⁰ m = 0.262 nm
Explanation:
We can use Bragg's Law's equation to solve this problem. The Bragg's Law's equation is written as follows:
mλ = 2d Sin θ
where,
m = order of reflection = 1
λ = wavelength = ?
d = distance between the planes of crystal = 3.5 x 10⁻¹⁰ m
θ = strike angle of waves on plane = 22°
Therefore, substituting the respective values in the equation, we get:
(1)λ = (2)(3.5 x 10⁻¹⁰ m)(Sin 22°)
λ = 2.62 x 10⁻¹⁰ m = 0.262 nm
The wavelength of electromagnetic waves will be 0.262 nm.
The distance between two successive troughs or crests is known as the wavelength. The peak of the wave is the highest point, while the trough is the lowest.
The wavelength is also defined as the distance between two locations in a wave that have the same oscillation phase.
The given data in the problem is;
m is the order of reflection = 1
λ is the wavelength =?
d is the distance between the planes of crystal = 3.5 x 10⁻¹⁰ m
θ = strike angle of waves on plane = 22°
From Bragg's law;
[tex]\rm m \lambda = 2d sin \theta \\\\\ m \lambda = 2d sin \theta \\\\\ \lambda=\frac{2dsin\theta}{m} \\\\ \lambda=\frac{2\times 3.5 \times 10^{-10}sin22^0}{1} \\\\ \lambda =2.62 \times 10^{-10}\ m \\\\ \lambda=0.262 \ nm[/tex]
Hence the wavelength of electromagnetic waves will be 0.262 nm.
To learn more about the wavelength refer to the link;
brainly.com/question/7143261
