Which nucleus completes the following equation?

Option D. ²⁰⁸₈₄Po

Explanation:

From the question given above, the following data were obtained:

²¹²₈₆Rn —> ⁴₂He + ?

Let the unknown be ⁿₓD. Thus, the equation becomes:

²¹²₈₆Rn —> ⁴₂He + ⁿₓD

Next, we shall determine n, x and D. This can be obtained as follow:

212 = 4 + n

Collect like terms

212 – 4 = n

208 = n

n = 208

86 = 2 + x

Collect like terms

86 – 2 = x

84 = x

x = 84

ⁿₓD => ²⁰⁸₈₄D = > ²⁰⁸₈₄Po

²¹²₈₆Rn —> ⁴₂He + ²⁰⁸₈₄Po

Thus, option D gives the correct answer to the question.