What fraction of the original intensity does the x-ray beam have after scattering twice at 1 m from the scattering object?

The original intensity of an x-ray beam decreases with each scattering event according to the principles of scattering and attenuation of radiation. When x-rays scatter, they lose a portion of their intensity depending on various factors, including the material they interact with and the angle of scattering.

In a typical scenario, each scatter reduces the intensity of the x-ray beam by a certain fraction. A common approximation in radiation physics is that each scattering event might reduce the intensity to about 1/10th of its previous value.

If the x-ray beam scatters twice, you can consider the intensity reduction over two events. After the first scatter, the intensity may be approximately 1/10, and then after the second scatter, it would be (1/10) * (1/10), which equals 1/100. This means the intensity is reduced to one hundredth of the original intensity.

When evaluating the options, while many may appear plausible, the option indicating a reduction to 1/1000 would imply three scattering events rather than two, making it the correct choice for two scattering occurrences at 1 m from the scattering object. Thus, the fraction corresponding to the original intensity after two scatter events accurately aligns with the response provided.