The scattered wavelength of X-rays in a specific direction can be determined using the equation λ' = λ + 2 x Aλ x cos(θ), where λ' is the scattered wavelength, λ is the incident wavelength, Aλ is the Compton shift, and θ is the scattering angle. In this case, the scattered wavelength in the direction making 90° with the incident beam is 1.0Å.
The scattered wavelength of X-rays can be determined using the equation:
λ' = λ + 2 x Aλ x cos(θ)
Where:
- λ' is the scattered wavelength
- λ is the incident wavelength
- Aλ is the Compton shift
- θ is the scattering angle
In this case, the incident wavelength is 1.0Å and the scattering angle is 90°. To find the scattered wavelength, we substitute these values into the equation:
λ' = 1.0Å + 2 x Aλ x cos(90°)
Since cos(90°) = 0, the equation simplifies to:
λ' = 1.0Å
Therefore, the scattered wavelength in the direction making 90° with the incident beam is 1.0Å.
--The given question is incorrect, the correct question is
"X-rays of 1.0A⁰are scattered from a carbon block. The wavelength of the scattered beam in a direction making 90⁰with the incident beam is ."--