Вопрос
Task 4. Compare all results. Task 3. The wavelength of primary photons is equal to 0.05 nm. 40000 photons passed through a region with an area 5cm^2 in a time 3 minutes. Find the Particle Fluence Rate after this radiation passes through thickness 8mm of beryllium. I Find the minimum thickness of matter Platinum in which electrons with energy 3 MeV, 30 MeV, and 300 MeV will lose all their energy. For them 11:
Решения
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Богдан
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мастер · Репетитор 5 лет
Ответ
To solve the given problem, we need to calculate the particle fluence rate and the minimum thickness of matter for electrons with different energies.### Task 3: Particle Fluence RateGiven:- Wavelength of primary photons (
) = 0.05 nm- Number of photons (
) = 40000- Area (
) = 5 cm²- Time (
) = 3 minutes- Thickness of beryllium (
) = 8 mmFirst, let's find the energy of each photon using the relationship between wavelength and energy:
where
is Planck's constant (
) and
is the speed of light (
).
Next, calculate the total energy of the photons:
Now, calculate the fluence rate (
), which is the total energy divided by the area and time:
### Task 4: Minimum Thickness of Matter for ElectronsTo find the minimum thickness of matter for electrons to lose all their energy, we use the concept of the range of electrons in a medium. The range
is given by:
where
is the energy of the electron,
is the mass attenuation coefficient of the material, and
is the electron's charge (
).For simplicity, let's assume the mass attenuation coefficient (
) for beryllium is given or can be found from experimental data. For this example, let's assume
.For each energy level:1. **3 MeV:**
2. **30 MeV:**
3. **300 MeV:**\[ R = \frac{300 \times 10^6 \, \text{eV} \times 1.602 \times 10^{-19} \, \text{J/eV}}{0