Question:
The radius of a spherical nucleus as measured by electron scattering is $3.6 \,fm$. What is the likely mass number of the nucleus?
The radius of a spherical nucleus as measured by electron scattering is $3.6 \,fm$. What is the likely mass number of the nucleus?
Updated On: Jul 5, 2022
- $27$
- $40$
- $56$
- $120$
Hide Solution
Verified By Collegedunia
The Correct Option is A
Solution and Explanation
Nuclear radius $R=R_{0}\left(A\right)^{1/ 3}$
where $A$ is the mass number of a nucleus
Given : $R = 3.6\, fm$
$\therefore\, 3.6\,fm =\left(1.2\,fm\right)\left(A^{1 /3}\right) \left[\because\, R_{0}=1.2\,fm\right]$
or $A=\left(3\right)^{3}=27$
Was this answer helpful?
0
0
Top Questions on Nuclei
- The disintegration energy \( Q \) for the nuclear fission of \( ^{235}\text{U} \to ^{140}\text{Ce} + ^{94}\text{Zr} + n \) is _____ MeV.
Given atomic masses:
\[^{235}\text{U} = 235.0439 \, u, \quad ^{140}\text{Ce} = 139.9054 \, u, \quad ^{94}\text{Zr} = 93.9063 \, u, \quad n = 1.0086 \, u\]Value of \( c^2 = 931 \, \text{MeV/u} \). - The mass defect in a particular reaction is \( 0.4 \, \text{g} \). The amount of energy liberated is \( n \times 10^7 \, \text{kWh} \), where \( n = \) _____. (speed of light \( = 3 \times 10^8 \, \text{m/s} \))
- A nucleus has mass number \(A_1\) and volume \(V_1\). Another nucleus has mass number \(A_2\) and volume \(V_2\). If the relation between mass numbers is \(A_2 = 4A_1\), then \(\frac{V_2}{V_1} =\) _______.
- The mass number of nucleus having radius equal to half of the radius of nucleus with mass number 192 is:
- A nucleus at rest disintegrates into two smaller nuclei with their masses in the ratio of 2:1. After disintegration they will move
View More Questions
Questions Asked in UP CPMT exam
- The concepts of 'struggle for existence' and 'survival of the fittest' are essential parts of the evolutionary theory given by
- UP CPMT - 2015
- What Are The Evidences For Evolution?
- Which of the following is a gymnosperm in which vessels are found?
- UP CPMT - 2015
- Kingdom Plant
- If earth suddenly shrinks by one-third of its present radius, the acceleration due to gravity will be
- UP CPMT - 2015
- Gravitation
- If a wire is stretched to make it $0.1\%$ longer, its resistance will
- UP CPMT - 2015
- Current electricity
- Boiling point of chloroform was raised by $0.323 \,K$, when $0.5143\, g$ of anthracene was dissolved in its $35 \,g$. Molecular mass of anthracene is $(K_b$ for $CHCl_3 = 3.9 \,K \,kg\,, mol^{-1})$
- UP CPMT - 2015
- Solutions
View More Questions
Concepts Used:
Nuclei
In the year 1911, Rutherford discovered the atomic nucleus along with his associates. It is already known that every atom is manufactured of positive charge and mass in the form of a nucleus that is concentrated at the center of the atom. More than 99.9% of the mass of an atom is located in the nucleus. Additionally, the size of the atom is of the order of 10-10 m and that of the nucleus is of the order of 10-15 m.
Read More: Nuclei
Following are the terms related to nucleus:
- Atomic Number
- Mass Number
- Nuclear Size
- Nuclear Density
- Atomic Mass Unit