Of course! Please provide the specific problem or question you'd like a step-by-step solution for.

Let's carefully analyze and solve the problem step-by-step. --- ### **Given Data:** | Radiation Type | Absorbed Dose (mGy) | Radiation Weighting Factor (Wp) | Tissue/Organ Weighting Factor (Wt) | |------------------|---------------------|------------------------------|----------------------------------| | Protons | 20 | 5 | — | | Alpha particles | 50 | 20 | Bone surface (W_t = 0.01) | | Photons | 15 | 1 | Whole body (W_t = 1) | --- ### **Step 1: Calculate the Equivalent Dose (H) for each radiation type** The **equivalent dose** is given by: \[ H = D \times W_p \] where: - \(D\) = absorbed dose - \(W_p\) = radiation weighting factor --- ### **Step 2: Calculate equivalent dose for each radiation contribution** 1. **Protons:** \[ H_{protons} = 20\, \text{mGy} \times 5 = 100\, \text{mSv} \] 2. **Alpha particles (affecting bone surface):** \[ H_{alpha} = 50\, \text{mGy} \times 20 = 1000\, \text{mSv} \] 3. **Photons (delivered over the whole body):** \[ H_{photons} = 15\, \text{mGy} \times 1 = 15\, \text{mSv} \] --- ### **Step 3: Calculate **Total Equivalent Dose** \(H_{total}\)** Sum all contributions: \[ H_{total} = H_{protons} + H_{alpha} + H_{photons} = 100 + 1000 + 15 = \boxed{1115\, \text{mSv}} \] --- ### **Step 4: Calculate the **Effective Dose** \(E\)** The effective dose accounts for the tissue weighting factors: \[ E = \sum (H_{T} \times W_t) \] - For **protons** (which affect the whole body), the tissue weighting factor \(W_t = 1\): \[ E_{protons} = 100\, \text{mSv} \times 1 = 100\, \text{mSv} \] - For **alpha particles** affecting **bone surface**, with \(W_t = 0.01\): \[ E_{alpha} = 1000\, \text{mSv} \times 0.01 = 10\, \text{mSv} \] - For **photons** affecting **whole body**, \(W_t = 1\): \[ E_{photons} = 15\, \text{mSv} \times 1 = 15\, \text{mSv} \] --- ### **Step 5: Sum to find the total effective dose** \[ E_{total} = 100 + 10 + 15 = \boxed{125\, \text{mSv}} \] --- ### **### Final Answer:** | **Parameter** | **Value** | |----------------|------------| | **Total Equivalent Dose** | **1115 mSv** | | **Total Effective Dose** | **125 mSv** | --- ### **Summary:** - The **total equivalent dose** received by the person is **1115 mSv**. - The **effective dose** considering tissue sensitivities is **125 mSv**. --- **Let me know if you'd like any further clarification!**

Certainly! Let's go through the detailed calculations step-by-step without using tables. --- **Given Data:** - Absorbed dose from protons = 20 mGy - Absorbed dose from alpha particles (affecting bone surface) = 50 mGy - Absorbed dose from photons (delivered uniformly over the whole body) = 15 mGy **Tissue and radiation weighting factors:** - For protons: \( W_p = 5 \) - For alpha particles: \( W_p = 20 \) - For photons: \( W_p = 1 \) - For the tissue affected by alpha particles (bone surface): tissue weighting factor \( W_t = 0.01 \) - For the whole body (affected by photons): \( W_t = 1 \) - For the whole body (affected by protons): \( W_t = 1 \) (since the dose is delivered over the whole body) --- ### Step 1: Calculate the equivalent dose from each radiation source **Equivalent dose** is calculated as: \[ H = D \times W_p \] **a) Protons:** \[ H_{protons} = 20\, \text{mGy} \times 5 = 100\, \text{mSv} \] **b) Alpha particles:** \[ H_{alpha} = 50\, \text{mGy} \times 20 = 1000\, \text{mSv} \] **c) Photons:** \[ H_{photons} = 15\, \text{mGy} \times 1 = 15\, \text{mSv} \] --- ### Step 2: Calculate total equivalent dose Sum all the equivalent doses: \[ H_{total} = 100 + 1000 + 15 = \boxed{1115\, \text{mSv}} \] --- ### Step 3: Calculate the effective dose The effective dose considers the tissue weighting factors: \[ E = \sum \left( H_{T} \times W_t \right) \] - For **protons**: Since the dose affects the whole body, \( W_t = 1 \): \[ E_{protons} = 100\, \text{mSv} \times 1 = 100\, \text{mSv} \] - For **alpha particles** affecting the bone surface: \[ E_{alpha} = 1000\, \text{mSv} \times 0.01 = 10\, \text{mSv} \] - For **photons** affecting the whole body: \[ E_{photons} = 15\, \text{mSv} \times 1 = 15\, \text{mSv} \] Now, sum these to get the total effective dose: \[ E_{total} = 100 + 10 + 15 = \boxed{125\, \text{mSv}} \] --- ### **Final answer:** - **Total equivalent dose = 1115 mSv** - **Total effective dose = 125 mSv** This completes the detailed calculation without tables. Let me know if you'd like further clarification!