Nuclei - Result Question 2

2. If the nuclear radius of 27Al is 3.6 Fermi, the approximate nuclear radius of 64Cu in Fermi is :

(a) 2.4

(b) 1.2

(c) 4.8

(d) 3.6

[2012]

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Answer:

Correct Answer: 2. (c)

Solution:

  1. (c) The radius of the nuclears is directly proportional to cube root of atomic number i.e. RA1/3

R=R0A1/3, where R0 is a constant of proportionality

R2R1=(A2A1)1/3(6427)1/3=43

where R1= the radius of 27Al, and A1= Atomic mass number of A1

R2= the radius of 64Cu and A2= Atomic mass number of C4

R2=3.6×43=4.8m



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