What percentage of radiation would be received after 6 half-value layers?

The concept of half-value layer (HVL) is fundamental in understanding radiation attenuation. A half-value layer is the thickness of a specified material that reduces the intensity of radiation to half its original value.

When considering six half-value layers, the remaining radiation can be calculated by recognizing that each layer halves the remaining amount of radiation. Mathematically, after 'n' half-value layers, the remaining percentage of radiation can be expressed using the formula:

Remaining Radiation = (1/2)^n * 100%

In this context, 'n' is 6 (since we are looking at 6 half-value layers):

Remaining Radiation = (1/2)^6 * 100%

= (1/64) * 100%

= 1.5625%

Thus, after six half-value layers, approximately 1.56% of the original radiation intensity remains. This percentage is accurately rounded to 1.6%, making it the correct answer. Understanding this concept is crucial for professionals working with radiation, as it aids in estimating how much shielding is required to protect personnel and the environment from radiation exposure.