Consider the following statements and state whether true (T ) or false ( F ) `:`
(i) Nuclear fission is normally followed by emission of `beta^(-)` - particles.
(ii)Emission of `alpha -` particle is normally followed by emission of `gamma -` rays
(iii) As the mass number A increases, the binding energy per nucleon in a nucleus also increases
Choose the correct order from the options given below

Options

A. T T T
B. T T F
C. F T T
D. T F T

Answer

To solve the question, we need to evaluate each of the three statements regarding nuclear processes and determine whether they are true (T) or false (F).

**Step 1: Evaluate Statement (i)**
Statement: "Nuclear fission is normally followed by emission of β⁻ particles."
- In nuclear fission, the heavy nucleus splits into smaller fragments, which often have an excess of neutrons. To stabilize the neutron-to-proton ratio, these fragments undergo beta decay, where a neutron is converted into a proton, emitting a beta particle (β⁻).
- Conclusion: This statement is **True (T)**.

**Step 2: Evaluate Statement (ii)**
Statement: "Emission of α particles is normally followed by emission of γ rays."
- When an alpha particle is emitted from a nucleus, the remaining nucleus is often left in an excited state. To return to a lower energy state, the excited nucleus can emit gamma rays (γ).
- Conclusion: This statement is **True (T)**.

**Step 3: Evaluate Statement (iii)**
Statement: "As the mass number A increases, the binding energy per nucleon in a nucleus also increases."
- The binding energy per nucleon does not consistently increase with mass number A. It generally increases with A up to iron (Fe), where it reaches a maximum, and then it starts to decrease for heavier nuclei. Thus, the binding energy per nucleon does not continuously increase with mass number.
- Conclusion: This statement is **False (F)**.

**Final Evaluation of Statements:**
- Statement (i): True (T)
- Statement (ii): True (T)
- Statement (iii): False (F)

**Correct Order of Statements:**
- The correct order is: (i) T, (ii) T, (iii) F.

**Answer:** The correct option is **B** (T, T, F).

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