If a 20% window is set around a centerline of 364 keV, what range of energies will the pulse height analyzer accept?

To determine the range of accepted energies when a 20% window is set around a centerline of 364 keV, one must first calculate what 20% of 364 keV is.

Calculating 20% of 364 keV yields 72.8 keV (which is 0.20 x 364 keV). This value represents the amount of energy that can deviate from the centerline in either direction, resulting in a total energy range.

To find the lower and upper limits of the energy window:

• The lower limit is obtained by subtracting the deviation from the centerline: 364 keV - 72.8 keV = 291.2 keV.

• The upper limit is obtained by adding the deviation to the centerline: 364 keV + 72.8 keV = 436.8 keV.

Thus, the range of energies that the pulse height analyzer will accept is approximately from 291 keV to 437 keV.

Among the provided choices, the range that most accurately reflects this calculation is 291-437 keV, making it the correct answer. This demonstrates an understanding of how to apply the percentage window around a specific energy level in nuclear