To calculate the angle at which second-order reflection will occur in an X-ray spectrometer, we can use Bragg's Law, which states:

nλ = 2d sinθ

where:
n is the order of reflection,
λ is the wavelength of the X-ray,
d is the interplanar distance, and
θ is the angle of reflection.

We are given:
n = 2 (since it's second-order reflection),
λ = 1.54 Å, and
d = 4.04 Å.

We need to solve for θ.

Rearranging Bragg's Law to solve for θ gives us:

θ = arcsin(nλ / 2d)

Substituting the given values into the equation gives us:

θ = arcsin((2 * 1.54 Å) / (2 * 4.04 Å))

Solving this will give us the angle θ.

Question

To calculate the angle at which second-order reflection will occur in an X-ray spectrometer, we can use Bragg's Law, which states:

nλ = 2d sinθ

where:
n is the order of reflection, 
λ is the wavelength of the X-ray, 
d is the interplanar distance, and 
θ is the angle of reflection.

We are given:
n = 2 (since it's second-order reflection),
λ = 1.54 Å, and
d = 4.04 Å.

We need to solve for θ.

Rearranging Bragg's Law to solve for θ gives us:

θ = arcsin(nλ / 2d)

Substituting the given values into the equation gives us:

θ = arcsin((2 * 1.54 Å) / (2 * 4.04 Å))

Solving this will give us the angle θ.

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