The radius of a Germanium (Ge) nucleus is twi | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(C) The radius of a nucleus is given by the formula $R = R_0 A^{1/3}$,where $A$ is the mass number (number of nucleons).Given that the radius of the G

Vedclass · Accepted Answer

$72$

Vedclass · Answer

(C) The radius of a nucleus is given by the formula $R = R_0 A^{1/3}$,where $A$ is the mass number (number of nucleons).Given that the radius of the Germanium nucleus $(R_{Ge})$ is twice the radius of the Beryllium nucleus $(R_{Be})$:$R_{Ge} = 2 	imes R_{Be}$Substituting the formula $R = R_0 A^{1/3}$:$R_0 (A_{Ge})^{1/3} = 2 	imes R_0 (A_{Be})^{1/3}$Given $A_{Be} = 9$,we have:$(A_{Ge})^{1/3} = 2 	imes (9)^{1/3}$Cubing both sides:$A_{Ge} = 2^3 	imes 9$$A_{Ge} = 8 	imes 9 = 72$Thus,the number of nucleons in Germanium is $72$.

The radius of a Germanium $(Ge)$ nucleus is twice the radius of a $^9_4Be$ nucleus. The number of nucleons in $Ge$ is ......

Similar Questions

If the radius of a nucleus with mass number $125$ is $1.5 \text{ fermi}$, then the radius of a nucleus with mass number $64$ is: (in $\text{ fermi}$)

The order of the size of the nucleus and the Bohr radius of an atom,respectively,are:

Which stable nucleus has a radius that is half that of $Fe^{56}$?

What kind of force exists between two neutrons?

The ratio of the nuclear radii of elements with mass numbers $216$ and $125$ is

Vedclass Test Series

Exam Paper Generator

Online Exam Module