Exams › NEET › Physics

A nucleus ruptures into two nuclear parts, which have their velocity ratio equal to 2:1. What will be the ratio of their nuclear size (nuclear radius)?

1. 2^(1/3) : 1
2. 1 : 2^(1/3)
3. 3^(1/2) : 1
4. 1 : 3^(1/2)

Correct answer: 1 : 2^(1/3)

Solution

The velocity ratio of the two parts is inversely proportional to the square root of their masses due to momentum conservation. Since nuclear radius is proportional to the cube root of mass, the ratio of radii will be the inverse cube root of the velocity ratio, i.e., 1 : 2^(1/3).

Related NEET Physics questions

• Two nuclei have their mass numbers in the ratio of 1 : 3. The ratio of their nuclear densities would be:
• If radius of the 27/13 Al nucleus is taken to be R_Al, then the radius of 125/53 Te nucleus is nearly:
• If the nuclear radius of 27/13 Al is 3.6 Fermi, the approximate nuclear radius of 64/29 Cu in Fermi is:
• The radius of germanium (Ge) nuclide is measured to be twice the radius of 9/4 Be. The number of nucleons in Ge are:
• If the nucleus 27/13 Al has nuclear radius of about 3.6 fm, then 125/32 Te would have its radius approximately as:
• The nuclei of which one of the following pairs of nuclei are isobars?

⚔️ Practice NEET Physics free + battle 1v1 →