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In the following nuclear reaction, D → α D 1 → β - D 2 → α D 3 → γ D 4 Mass number of D is 182 and atomic number is 74 . Mass number and atomic number of D 4 respectively will be

Options

  1. A174 and 71
  2. B174 and 69
  3. C172 and 69
  4. D172 and 71

Correct answer

A. 174 and 71

Step-by-step solution

Equivalent reaction can be written as D → D 4 + 2 α + β - + γ So, mass number of D 4 = mass number of D - 2 × 4 = 182 - 8 = 174 Atomic number of D 4 = atomic number of D - 2 × 2 + 1 = 74 - 4 + 1 = 71 The reaction is D 74 182 ⟶ α D 1 72 178 ⟶ β - D 2 73 178 ⟶ α D 3 71 174 → γ D 4 71 174

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