ᴛᴡᴏ ɴᴜᴄʟᴇɪ ʜᴀᴠᴇ ᴍᴀss ɴᴜᴍʙᴇʀs ɪɴ ᴛʜᴇ ʀᴀᴛɪᴏ 1: 8. ᴡʜᴀᴛ ɪs ᴛʜᴇ ʀᴀᴛɪᴏ ᴏғ ᴛʜᴇɪʀ ɴᴜᴄʟᴇᴀʀ ʀᴀᴅɪɪ?
Answers
Answer:
hope this helps you
Explanation:
ANSWER
A
1
=1 , A
2
=8
R
1
/R
2
=(A
1
/A
2
)
3
therefore by putting the values. ratio in radii wil be 1:2
we get, 1:2
FORMULA USED :
R= Ro(A)⅓
WKT :
the mass number A and the radius of atomic nuclei is released by the expression,
R= Ro(A)⅓
Where, R is the radius of the nucleus A is the mass number and, Ro is a constant known as Fermi constant which is same for all the nucleus and have a value if 1.2× 10^15m.
Now, the ratio of mass number is given as 1:8
So, let us assume the mass number of the first nucleus to be A and the second nucleus be 8A
Then the radius of the first nucleus will be,
R1= Ro(A)⅓
R2= Ro(8A)⅓
R1 = Ro(A)⅓ = 1. = 1
R2. Ro(8A)⅓ 8⅓ 2
Therefore, the ratio of the radii of two nuclei having a mass number of ratio of 1:8 is found to be 1:2
NOTE :
We must know that the nucleus constitute the mass of a nucleus. Nucleons are particles present in atomic nuclei and we know nucleus is composed of protons and neutrons.
Both of these particles masses are equal, which is 1.67×10^-27kg
Protons are positively charged and neutrons have no charge. The Fermi constant that we used will not change for any nucleus and it has a value of :
1.2fermi= 1.2×10^-15
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