The radius of Ge nucleus is measured to be twice the radius of 9Be4 nucleus. How many nucleons are there in the Ge nucleus ?7296120144
Question
The radius of Ge nucleus is measured to be twice the radius of 9Be4 nucleus. How many nucleons are there in the Ge nucleus ?7296120144
Solution
The radius of a nucleus is given by the formula R = R0 * A^(1/3), where A is the number of nucleons and R0 is a constant.
Given that the radius of the Ge nucleus is twice the radius of the 9Be4 nucleus, we can set up the following equation:
2 = (A_Ge/A_Be)^(1/3)
where A_Ge is the number of nucleons in the Ge nucleus and A_Be is the number of nucleons in the Be nucleus.
We know that A_Be = 9 (from the notation 9Be4), so we can substitute this into the equation:
2 = (A_Ge/9)^(1/3)
Cubing both sides to get rid of the cube root gives:
8 = A_Ge/9
Solving for A_Ge gives:
A_Ge = 8 * 9 = 72
So there are 72 nucleons in the Ge nucleus.
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