Answer:
The correct option is A
Explanation:
From the question we are told that
The mass number is [tex]A= 64[/tex]
Generally the mean radius is mathematically evaluated as
[tex]R = R_o A^{\frac{1}{3} }[/tex]
Here [tex]R_o[/tex] is a constant with a value [tex]R_o =1.2*10^{-15}[/tex]
So
[tex]R = 1.2*10^{-15} * 64^{\frac{1}{3} }[/tex]
[tex]R = 4.8 *10^{-15} [/tex]
[tex]R = 4.8\ fm [/tex]
The mean radius of a nucleus with the given mass number is 4.8 fm.
Hence, Option A. 4.8 fm is the correct answer.
Given the data in the question;
Mass number of nucleus; [tex]A = 64[/tex]
Mean radius; [tex]R =\ ?[/tex]
The volume of the nucleus is directly proportional to the total number of nucleons.
The radius of a nucleus, R, is approximately:
[tex]R = R_oA^{\frac{1}{3} }[/tex]
Where R is the radius, R₀ is constant for all nuclei ([tex]1.2*10^{-15}m \ or\ 1.2fm[/tex] ) and A is the mass number.
We substitute our values into the equation
[tex]R = 1.2fm\ *\ 64^{\frac{1}{3} }\\\\R = 1.2fm\ *\ 4\\\\R = 4.8 fm[/tex]
The mean radius of a nucleus with the given mass number is 4.8 fm.
Hence, Option A. 4.8 fm is the correct answer.
Learn more: https://brainly.com/question/1371394
