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

(D) Given the ratio of radii $\frac{r_1}{r_2} = \frac{1}{2}$.Since the density $\rho$ is the same,the mass $m$ is proportional to the volume $V = \fra

Vedclass · Accepted Answer

$8$

Vedclass · Answer

(D) Given the ratio of radii $\frac{r_1}{r_2} = \frac{1}{2}$.Since the density $\rho$ is the same,the mass $m$ is proportional to the volume $V = \frac{4}{3} \pi r^3$.Therefore,the ratio of masses is $\frac{m_1}{m_2} = \frac{r_1^3}{r_2^3} = (\frac{1}{2})^3 = \frac{1}{8}$.Since the nucleus is initially at rest,the total momentum is zero. According to the law of conservation of linear momentum:$m_1 v_1 + m_2 v_2 = 0$$m_1 v_1 = -m_2 v_2$Taking the magnitude,$|\frac{v_1}{v_2}| = \frac{m_2}{m_1} = \frac{8}{1}$.Thus,the ratio of their velocities is $8 : 1$.

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

Similar Questions

The heat evolved for the rise of water when one end of the capillary tube of radius $r$ is immersed vertically into water is (Assume surface tension $= T$ and density of water to be $\rho$)

In the circuit shown below,the ammeter reading is zero. Then the value of the resistance $R$ is (in $\Omega$)

Which of the following is the main component of Portland cement (besides lime)?

Which of the following is the strongest Lewis acid?

The bond order of individual carbon-carbon bonds in benzene is

Vedclass Test Series

Exam Paper Generator

Online Exam Module