Question
(a)The radius of an atom is 02 nm The radius of the nucleus is (1)/(10000) the radius of the atom. Calculate the radius of the nucleus. Give your answer in standard form.
Answer
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Dexter
Elite · Tutor for 8 years
Answer
The radius of the nucleus is
nm.
Explanation
From the given statement, we understand that the radius of the nucleus as a proportion of that of the atom is
. So, we simply need to multiply the radius of the atom by this fraction in order to determine the nuclear radius. To achieve this, we perform the following operation:
Substituting the given value of the radius of an atom, which is 0.2nm, to the equation above - we get:
Which simplifies to
nm.This represents the radius of the nucleus in standard form.