Question

In the following nuclear reaction, \[\ce{D->[α]D_1->[β^-]D_2->[α]D_3->[γ]D_4}\]. The mass number of D is 182 and its atomic number is 74. The mass number and atomic number of D₄ respectively will be ______.

Options

• 174 and 71

• 174 and 69

• 172 and 69

• 172 and 71

Answer 1

In the following nuclear reaction, \[\ce{D->[α]D_1->[β^-]D_2->[α]D_3->[γ]D_4}\]. The mass number of D is 182 and its atomic number is 74. The mass number and atomic number of D₄ respectively will be 174 and 71.

Explanation:

We can write the given reaction as,

D = D₄ + 2α + β + γ

Hence, D₄ = D – 2α – β – γ

So, the atomic number of D₄ = atomic number of D – 2 × 2 + 1.

= 74 – 4 + 1

= 71

Similarly, mass number of D₄ = Mass number of D – 2 × 4

= 182 – 8

= 174