1. **State the problem:**
Calculate the energy released per unit mass for hydrogen fusion and uranium fission given the mass converted to energy.
2. **Relevant formula:**
Energy released $E$ is related to mass converted $\Delta m$ by Einstein's equation:
$$E = \Delta m \times c^2$$
where $c$ is the speed of light.
3. **Calculate energy per unit mass for hydrogen fusion:**
Mass converted: $0.024$ u
Total mass involved: $2 + 3 = 5$ u (hydrogen-2 and hydrogen-3 nuclei combined)
Energy per unit mass for hydrogen:
$$\frac{E}{m} = \frac{0.024}{5} = 0.0048$$
4. **Calculate energy per unit mass for uranium fission:**
Mass converted: $0.48$ u
Total mass involved: $235$ u (uranium-235 nucleus)
Energy per unit mass for uranium:
$$\frac{E}{m} = \frac{0.48}{235} \approx 0.00204$$
5. **Compare the two values:**
Energy per unit mass hydrogen $= 0.0048$
Energy per unit mass uranium $= 0.00204$
6. **Calculate ratio of hydrogen to uranium energy per unit mass:**
$$\frac{0.0048}{0.00204} \approx 2.35$$
7. **Answer:**
Energy released per unit mass of hydrogen is approximately 2.35 times that of uranium.
**For question 23:**
Gamma radiation travels at the speed of light, so it does not travel faster than beta radiation (which is slower). It has greater penetration ability but less ionizing ability than beta radiation.
Correct statements: II only.
**Final answers:**
- Energy released per unit mass ratio: 2.35 (Option C)
- Correct gamma radiation statements: II only (not listed in options, so none of the given options fully correct)
Energy Mass Ratio 068911
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