Sigma Percentile
JEE Advanced 1986
LEVELBoard

Animated Solution for Physics - Atoms and Nuclei: Atoms having the same ...... but different ...... are called isotopes.

Visualized Solution

Atomic Structure

  • An atom consists of a central nucleus.
  • The nucleus contains protons and neutrons.
  • Electrons revolve around the nucleus.

Atomic Number ()

  • Number of protons
  • It defines the chemical element.

Mass Number ()

  • Number of protons Number of neutrons

Concept of Isotopes

  • Atoms of the same element can have different numbers of neutrons.

Isotopes Definition

  • Same element Same Atomic Number ()
  • Different neutrons Different Mass Number ()

Final Answer

  • Atoms having the same atomic number but different mass number are called isotopes.

Examples of Isotopes

  • Hydrogen isotopes: (Protium), (Deuterium), (Tritium)

The Sigma Insight: Nucleus and Nuclear Reaction

The Architecture of an Atom

To understand isotopes, we must first journey into the heart of an atom. Imagine an atom as a miniature solar system. At its very center lies a dense core called the nucleus, which houses positively charged protons and neutral neutrons.
Orbiting this nucleus are the negatively charged electrons.
The identity of an element is strictly determined by the number of protons in its nucleus. This fundamental quantity is known as the atomic number (). For instance, every atom in the universe with exactly one proton is hydrogen, and every atom with exactly six protons is carbon.

The Mass of an Atom

While protons define the element, neutrons play a crucial role in determining the atom's mass. The total count of protons and neutrons combined is called the mass number ().
Mathematically, it is expressed as:
where is the number of neutrons. Since electrons have a negligible mass compared to protons and neutrons, the mass number gives us a very close approximation of the atom's total atomic mass.

The Concept of Isotopes

Here is where nature introduces a fascinating twist. While all atoms of a specific element must have the exact same number of protons (same ), they do not necessarily need to have the same number of neutrons.
Atoms of the same element that contain different numbers of neutrons are called isotopes. Because they have the same atomic number, they belong to the same element and exhibit nearly identical chemical properties.
However, because their neutron counts differ, their mass numbers () are different. This difference in mass can lead to variations in physical properties, such as density or stability (radioactivity).

A Classic Example

Hydrogen
Let's look at the simplest element, hydrogen. It has three well-known isotopes:
1. Protium (): The most common form, with 1 proton and 0 neutrons. 2. Deuterium (): Contains 1 proton and 1 neutron. 3. Tritium (): Contains 1 proton and 2 neutrons, making it radioactive.
All three are hydrogen because they all have an atomic number of 1. But their mass numbers are 1, 2, and 3, respectively.

Final Conclusion

Returning to our original statement, we can now confidently fill in the blanks.
Atoms having the same atomic number but different mass number are called isotopes.

Similar Questions

LEVELBoard

The mass number of a nucleus is

* Multiple Correct Options
(A)
always less than its atomic number.
(B)
always more than its atomic number.
(C)
sometimes equal to its atomic number.
(D)
sometimes more than and sometimes equal to its atomic number.
LEVELBoard

How many electrons, protons and neutrons are there in a nucleus of atomic number and mass number ? Find, (a) Number of electrons. (b) Number of protons. (c) Number of neutrons.

JEE Main 2019
LEVELBoard

The ratio of mass densities of nuclei of and is close to

(A)
5
(B)
2
(C)
0.1
(D)
1
LEVELJEE Main

If is the mass of an oxygen isotope , and are the masses of a proton and a neutron respectively, the nuclear binding energy of the isotope is

(A)
(B)
(C)
(D)
LEVELJEE Main

Statement I Energy is released when heavy nuclei undergo fission or light nuclei undergo fusion. Statement II For heavy nuclei, binding energy per nucleon increases with increasing Z while for light nuclei, it decreases with increasing Z.

(A)
Statement I is true, Statement II is true; Statement II is not a correct explanation of Statement I
(B)
Statement I is true, Statement II is false
(C)
Statement I is false, Statement II is true
(D)
Statement I is true, Statement II is true; Statement II is a correct explanation of Statement I
LEVELJEE Advanced

Let be the mass of proton, the mass of neutron. the mass of nucleus and the mass of nucleus. Then

* Multiple Correct Options
(A)
(B)
(C)
(D)
LEVELBoard

For uranium nucleus how does its mass vary with volume ?

(A)
(B)
(C)
(D)
JEE Main 2020
LEVELJEE Main

The radius of a nucleus of mass number can be estimated by the formula m. It follows that the mass density of a nucleus is of the order of ( kg)

(A)
(B)
(C)
(D)
JEE Advanced 2006
LEVELJEE Main

Some laws/processes are given in Column I. Match these with the physical phenomena given in Column II.

List-I

(P)
Nuclear fusion
(Q)
Nuclear fission
(R)
-decay
(S)
Exothermic nuclear reaction

List-II

(1)
Converts some matter into energy
(2)
Generally possible for nuclei with low atomic number
(3)
Generally possible for nuclei with higher atomic number
(4)
Generally possible for weak nuclear forces
JEE Advanced 2013
LEVELJEE Advanced

Comprehension Passage

The mass of a nucleus is less than the sum of the masses of number of neutrons and number of protons in the nucleus. The energy equivalent to the corresponding mass difference is known as the binding energy of the nucleus. A heavy nucleus of mass can break into two light nuclei of masses and only if . Also two light nuclei of masses and can undergo complete fusion and form a heavy nucleus of mass only if . The masses of some neutral atoms are given in the table below: $\begin{array}{llll} _{1}^{1}\text{H} & 1.007825\text{u} & _{1}^{2}\text{H} & 2.014102\text{u} \\ _{3}^{6}\text{Li} & 6.01513\text{u} & _{3}^{7}\text{Li} & 7.016004\text{u} \\ _{64}^{152}\text{Gd} & 151.919803\text{u} & _{82}^{206}\text{Pb} & 205.974455\text{u} \\ _{1}^{3}\text{H} & 3.016050\text{u} & _{2}^{4}\text{He} & 4.002603\text{u} \\ _{30}^{70}\text{Zn} & 69.925325\text{u} & _{34}^{82}\text{Se} & 81.916709\text{u} \\ _{84}^{210}\text{Po} & 209.982876\text{u} & & \end{array}$
Question 1:

The correct statement is

(A)
The nucleus can emit an alpha particle.
(B)
The nucleus can emit a proton.
(C)
Deuteron and alpha particle can undergo complete fusion.
(D)
The nuclei and can undergo complete fusion.
Question 2:

The kinetic energy (in keV) of the alpha particle, when the nucleus at rest undergoes alpha decay, is

(A)
5316
(B)
5422
(C)
5707
(D)
5818