2dsin(θ)=λMolecules in many solids are arranged in a crystal lattice with distinct patterns and layers. These layers reflect and scatter light rays according to Bragg's law. The Bragg equation relates the distance, d, between layers of molecules to the angle, θ, of incoming light rays with wavelength λ. Which of the following is the correct equation for the distance in terms of the angle and the wavelength?Choose 1 answer:(A) d=2sin(θ)λ(B) d=sin(θ)2λ(C) d=λ2sin(θ)(D) d=2λsin(θ)
Q. 2dsin(θ)=λMolecules in many solids are arranged in a crystal lattice with distinct patterns and layers. These layers reflect and scatter light rays according to Bragg's law. The Bragg equation relates the distance, d, between layers of molecules to the angle, θ, of incoming light rays with wavelength λ. Which of the following is the correct equation for the distance in terms of the angle and the wavelength?Choose 1 answer:(A) d=2sin(θ)λ(B) d=sin(θ)2λ(C) d=λ2sin(θ)(D) d=2λsin(θ)
Isolate d: The given equation is 2dsin(θ)=λ. To find the distance d in terms of θ and λ, we need to solve for d.
Divide by 2sin(θ): Divide both sides of the equation by 2sin(θ) to isolate d on one side:d=2sin(θ)λ
Final equation for d: The correct equation for the distance d in terms of the angle θ and the wavelength λ is therefore d=2sin(θ)λ, which corresponds to option (A).
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