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

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.