A nucleus at rest splits into two nuclear par | vedclass

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

Question

(A) According to the law of conservation of linear momentum,for a nucleus initially at rest,the total momentum after splitting must be zero.$m_1 v_1 =

Vedclass · Accepted Answer

$8$

Vedclass · Answer

(A) According to the law of conservation of linear momentum,for a nucleus initially at rest,the total momentum after splitting must be zero.$m_1 v_1 = m_2 v_2 \implies \frac{v_1}{v_2} = \frac{m_2}{m_1}$Since the density of nuclear matter is constant,the mass $m$ of a nucleus is proportional to its volume,which is proportional to the cube of its radius $R$.$m \propto R^3 \implies \frac{m_2}{m_1} = \left(\frac{R_2}{R_1}\right)^3$Given the ratio of radii $\frac{R_1}{R_2} = \frac{1}{2}$,we have $\frac{R_2}{R_1} = \frac{2}{1}$.Substituting this into the velocity ratio equation:$\frac{v_1}{v_2} = \left(\frac{2}{1}\right)^3 = \frac{8}{1}$.Thus,the ratio of their velocities is $8:1$.

$A$ nucleus at rest splits into two nuclear parts having radii in the ratio $1:2$. Their velocities are in the ratio: (in $:1$)

Similar Questions

Give a general introduction to the nucleus.

The mass of a neutron is approximately the same as that of:

In the equation ${ }_{13}^{27} Al + { }_2^4 He \longrightarrow { }_{15}^{30} P + X$,the correct symbol for $X$ is:

The mass density of a nucleus varies with mass number $A$ as

The distance between two nucleons for which the potential energy is minimum,is (in $fm$)

Vedclass Test Series

Exam Paper Generator

Online Exam Module