JEE Main 201815 AprilEvening ShiftOnline
- Exam
- JEE Main
- Year
- 2018
- Date
- 15 April
- Shift
- Evening Shift
- Mode
- Online
- Subject
- Physics
- Chapter
- Nuclear Physics
JEE Main 2018 · 15 April · Evening Shift · Online · Physics · Nuclear Physics
An unstable heavy nucleus at rest breaks into two nuclei which move...
An unstable heavy nucleus at rest breaks into two nuclei which move away with velocities in the ratio of . The ratio of the radii of the nuclei (assumed to be spherical ) is:
Options
- A
- B
- C
- D
Correct answer
C.
Step-by-step solution
Let heavy nucleus breaks into two nuclei of mass V_1 and V_2\frac{V_1}{V_2}=\frac{8}{27}m_1 V_1=m_2 V_2$\begin{aligned}&\Rightarrow\left(\frac{\mathrm{R}_1}{\mathrm{R}_2}\right)=\left(\frac{27}{8}\right)^{\frac{1}{3}}=\left(\frac{3}{2}\right)^{3 \times \frac{1}{3}}\\
&\therefore \frac{\mathrm{R}_1}{\mathrm{R}_2}=\frac{3}{2}
\end{aligned}