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Calculate the absorbed dose received by an 8 g tumour irradiated with 0.25 J of gamma-ray energy.Hint: Don't forget the units!

Question

Calculate the absorbed dose received by an 8 g tumour irradiated with 0.25 J of gamma-ray energy.

Hint: Don't forget the units!

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Solution

The absorbed dose (D) is defined as the amount of energy absorbed per unit mass. It is given by the formula:

D = E/m

where: E is the energy absorbed, and m is the mass of the absorbing material.

In this case, E = 0.25 J (joules) and m = 8 g (grams). However, the standard unit for absorbed dose is the Gray (Gy), which is defined as joules per kilogram (J/kg). So, we need to convert the mass from grams to kilograms:

m = 8 g = 0.008 kg

Now we can substitute E and m into the formula:

D = 0.25 J / 0.008 kg = 31.25 Gy

So, the absorbed dose received by the tumour is 31.25 Gy.

This problem has been solved

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