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What is the nuclear radius of 125Fe ,if that of 27 Al is 3.6 fermi?.

Class 12th Physics, Question -What is the nuclear radius of 125Fe ,if that of 27 Al is 3.6 fermi?.

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February 15, 2023

Question 3:What is the nuclear radius of 125Fe ,if that of 27 Al is 3.6 fermi?.

The correct answer is – The nuclear radius of an atom is typically defined as the distance from the center of the nucleus to the point where the nuclear density falls to half of its maximum value. The nuclear radius depends on the mass and charge of the nucleus, and it is often measured in units of femtometers (fm) or fermis.

To estimate the nuclear radius of 125Fe, we can use the empirical formula for the nuclear radius:

r = r0 A^(1/3)

where r0 is a constant and A is the mass number of the nucleus. The value of r0 is approximately 1.2 fm.

Using this formula, we can estimate the nuclear radius of 125Fe:

r(125Fe) = r0 * A^(1/3) = 1.2 fm * (125)^(1/3) ≈ 5.25 fm

In comparison, the nuclear radius of 27Al is given as 3.6 fermi. So, the nuclear radius of 125Fe is approximately 5.25 fermi or 5.25 x 10^-15 meters.