Access free live classes and tests on the app
Download
+
Unacademy
  • Goals
    • AFCAT
    • AP EAMCET
    • Bank Exam
    • BPSC
    • CA Foundation
    • CAPF
    • CAT
    • CBSE Class 11
    • CBSE Class 12
    • CDS
    • CLAT
    • CSIR UGC
    • GATE
    • IIT JAM
    • JEE
    • Karnataka CET
    • Karnataka PSC
    • Kerala PSC
    • MHT CET
    • MPPSC
    • NDA
    • NEET PG
    • NEET UG
    • NTA UGC
    • Railway Exam
    • SSC
    • TS EAMCET
    • UPSC
    • WBPSC
    • CFA
Login Join for Free
avtar
  • ProfileProfile
  • Settings Settings
  • Refer your friendsRefer your friends
  • Sign outSign out
  • Terms & conditions
  • •
  • Privacy policy
  • About
  • •
  • Careers
  • •
  • Blog

© 2023 Sorting Hat Technologies Pvt Ltd

Watch Free Classes
    • Free courses
    • JEE Main 2024
    • JEE Main 2024 Live Paper Discussion
    • JEE Main Rank Predictor 2024
    • JEE Main College Predictor 2024
    • Stream Predictor
    • JEE Main 2024 Free Mock Test
    • Study Materials
    • Notifications
    • JEE Advanced Syllabus
    • JEE Books
    • JEE Main Question Paper
    • JEE Coaching
    • Downloads
    • JEE Notes & Lectures
    • JEE Daily Videos
    • Difference Between
    • Full Forms
    • Important Formulas
    • Exam Tips
JEE Main 2026 Preparation: Question Papers, Solutions, Mock Tests & Strategy Unacademy » JEE Study Material » Physics » Radioactive Decay Law

Radioactive Decay Law

Radioactive decay is the process in which an unstable atomic nucleus loses its energy by emitting radiation.

Table of Content
  •  

Introduction

The nuclei of an atom exhibit the phenomenon of radioactivity due to nuclear instability. The nucleus of an unstable atom loses energy by producing radiation. Henry Becquerel observed this occurrence in 1896. 

A little amount of Uranium compound was wrapped in black paper and put in a drawer containing photographic plates. After further examination of these plates, it was discovered that there had been an exposure. This phenomenon is called Radioactive Decay. Elements or isotopes that emit radiation and undergo radioactivity are radioactive. Let’s take a closer look at the radioactive decay law in these notes.

What is the Radioactive Decay Law?

The spontaneous decay of an unstable atomic nucleus into an atomic nucleus to generate a more energetically stable atomic nucleus is radioactivity. When a small mass is turned into energy, radioactive decay is a random and extremely stochastic first-order process. 

Types of Radioactive Decay

There are three types of radioactive decay:

  • Alpha Decay
  • Beta Decay
  • Gamma Decay

Alpha Decay

Alpha decay is a form of radioactive decay in which some unstable atomic nuclei spontaneously release an alpha particle to dissipate excess energy. Because alpha particles have two positive charges and a mass of four units, their emission from the nucleus results in a daughter nucleus with a positive nuclear charge and an atomic number of two units less than the parent’s mass and mass. As a result, Po-210 (mass number 210 and atomic number 84, i.e. 84 protons ) decays to Pb-206 through alpha emission (atomic number 82). 

Beta Decay

A proton is turned into a neutron or vice versa inside the nucleus of a radioactive sample in beta decay. The nucleus of a radioactive sample can get as close to the ideal neutron/proton ratio as is feasible through processes like beta decay and alpha decay. The nucleus emits a beta particle, which can be either an electron or a positron while doing so. Remember that a proton can become a neutron, or a neutron can become a proton. To obey the law of charge conservation, electrons and positrons are created. The weak interaction causes beta decay.

Gamma Decay

Gamma decay is the release of excess energy to stabilise an unstable nucleus by emitting electromagnetic radiation with a very high frequency or very high energy. It might be well-versed in the various energy levels found in an atom. The nucleus has its own set of energy levels to work with. 

Gamma decay is the nucleus’ method of transitioning from a higher to a lower energy level by emitting high-energy photons. The atom’s energy level transition energies are measured in MeV. As a result, emitted gamma rays, like X-rays, have very high energy of order MeV.

Radioactive decay law

Radioactive decay is impossible to forecast due to the nucleus’s smaller size than the atom and the magnitude of the electromagnetic force. The atomic nucleus is located in the centre of the atom, which is shielded from the environment by surrounding electrons. As a result, the study of the element’s environment-independent degradation. 

In other words, the rate of decay is independent of an element’s physical state, such as temperature and pressure. The rate of decay or disintegration of a specific element is proportional to the number of atoms present, and activity is measured in atoms per unit of time. If “A” denotes the rate of disintegration and “N” denotes the number of radioactive atoms, then the direct relationship is as follows.

A∝N

A= λN (mathematical representation)

A represents the no. of decays per unit time of a radioactive sample

N represents the total number of particles in the sample

 λ is the constant of proportionality or decays constantly

Conclusion

In the above notes, we have learnt about the radioactive decay law and types of Radioactive Decay. The loss of elementary particles from an unstable nucleus causes radioactive decay, transforming the unstable material into a more stable element. Alpha emission, beta emission, positron emission, electron capture, and gamma emission are the five kinds of radioactive decay. Each form of decay emits a distinct particle, which alters the end product. The decay or emission that the initial element undergoes determines the number of protons and neutrons found in the daughter nuclei.

faq

Frequently asked questions

Get answers to the most common queries related to the IIT JEE Examination Preparation.

What are the applications of gamma rays?

Ans: Gamma rays have various applications. Scientists have developed the Fermi Gamma-ray Space Tele...Read full

Which radiation is the most dangerous?

Ans: Alpha radiations are the most dangerous or hazardous among the three forms of radiation becaus...Read full

What is the Bateman equation?

Ans: The Bateman equations are a set of first-order differential equations that describe the time e...Read full

What is the significance of Half-Life?

Ans: In nuclear physics, the phrase ‘half-life’ is used to describe how fastly unstable...Read full

Ans: Gamma rays have various applications. Scientists have developed the Fermi Gamma-ray Space Telescope, a satellite that delivers an unrivalled perspective of the universe. 

Food packaging and the chemical sector also utilise gamma-ray sensors to detect thickness, composition and density. The high-frequency gamma rays are irradiated on diseased cells to kill them, and gamma rays are used to treat certain types of cancer.

Ans: Alpha radiations are the most dangerous or hazardous among the three forms of radiation because cells absorb them rapidly. Gamma and Beta radiation are less dangerous because they are easily passed through the cells and absorbed less by cells.

Ans: The Bateman equations are a set of first-order differential equations that describe the time evolution of nuclide concentrations in serial or linear decay chains in physics. In 1905, Ernest Rutherford proposed the model, and Harry Bateman provided the analytical solution for the case of radioactive decay in a linear chain in 1910. This version can also be used in nuclear depletion codes to solve nuclear transmutation and rot problems.

Ans: In nuclear physics, the phrase ‘half-life’ is used to describe how fastly unstable atoms go through radioactive decay to the stable nuclei, as well as how many stable atoms exist. In addition, the half-life specifies whether the decay is non-exponential or exponential. A biological half-life of medications and other compounds in the human body, for example, is more important in the medical sciences.

Crack IIT JEE with Unacademy

Get subscription and access unlimited live and recorded courses from India’s best educators

  • Structured syllabus
  • Daily live classes
  • Ask doubts
  • Tests & practice
Learn more

Notifications

Get all the important information related to the JEE Exam including the process of application, important calendar dates, eligibility criteria, exam centers etc.

Allotment of Examination Centre
JEE Advanced Eligibility Criteria
JEE Advanced Exam Dates
JEE Advanced Exam Pattern 2023
JEE Advanced Syllabus
JEE Application Fee
JEE Application Process
JEE Eligibility Criteria 2023
JEE Exam Language and Centres
JEE Exam Pattern – Check JEE Paper Pattern 2024
JEE Examination Scheme
JEE Main 2024 Admit Card (OUT) – Steps to Download Session 1 Hall Ticket
JEE Main Application Form
JEE Main Eligibility Criteria 2024
JEE Main Exam Dates
JEE Main Exam Pattern
JEE Main Highlights
JEE Main Paper Analysis
JEE Main Question Paper with Solutions and Answer Keys
JEE Main Result 2022 (Out)
JEE Main Revised Dates
JEE Marking Scheme
JEE Preparation Books 2024 – JEE Best Books (Mains and Advanced)
Online Applications for JEE (Main)-2022 Session 2
Reserved Seats
See all

Related articles

Learn more topics related to Physics
Zinc-Carbon Cell

The battery you use every day in your TV remote or torch is made up of cells and is also known as a zinc-carbon cell. Read on to know more.

ZEROTH LAW OF THERMODYNAMICS

Read about the Zeroth law of thermodynamics. Learn about the zeroth law definitions and their examples.

Zener Diode As A Voltage Regulator

Understand the concepts of Zener diodes. Also, learn about the efficiency and limitations of Zener Diode as a Voltage Regulator.

Zener diode as a voltage regulator

zener diode is a very versatile semiconductor that is used for a variety of industrial processes and allows the flow of current in both directions.It can be used as a voltage regulator.

See all
Access more than

10,505+ courses for IIT JEE

Get subscription

Trending Topics

  • JEE Main 2024
  • JEE Main Rank Predictor 2024
  • JEE Main Mock Test 2024
  • JEE Main 2024 Admit Card
  • JEE Advanced Syllabus
  • JEE Preparation Books
  • JEE Notes
  • JEE Advanced Toppers
  • JEE Advanced 2022 Question Paper
  • JEE Advanced 2022 Answer Key
  • JEE Main Question Paper
  • JEE Main Answer key 2022
  • JEE Main Paper Analysis 2022
  • JEE Main Result
  • JEE Exam Pattern
  • JEE Main Eligibility
  • JEE College predictor
combat_iitjee

Related links

  • JEE Study Materials
  • CNG Full Form
  • Dimensional Formula of Pressure
  • Reimer Tiemann Reaction
  • Vector Triple Product
  • Swarts Reaction
  • Focal length of Convex Lens
  • Root mean square velocities
  • Fehling’s solution
testseries_iitjee
Subscribe Now
. document.querySelector('.targetTopBtn').onClick = topFunction; function topFunction() { window.scrollTo({ top: 0, behavior: 'smooth' }) }
Company Logo

Unacademy is India’s largest online learning platform. Download our apps to start learning


Starting your preparation?

Call us and we will answer all your questions about learning on Unacademy

Call +91 8585858585

Company
About usShikshodayaCareers
we're hiring
BlogsPrivacy PolicyTerms and Conditions
Help & support
User GuidelinesSite MapRefund PolicyTakedown PolicyGrievance Redressal
Products
Learner appLearner appEducator appEducator appParent appParent app
Popular goals
IIT JEEUPSCSSCCSIR UGC NETNEET UG
Trending exams
GATECATCANTA UGC NETBank Exams
Study material
UPSC Study MaterialNEET UG Study MaterialCA Foundation Study MaterialJEE Study MaterialSSC Study Material

© 2026 Sorting Hat Technologies Pvt Ltd

Unacademy
  • Goals
    • AFCAT
    • AP EAMCET
    • Bank Exam
    • BPSC
    • CA Foundation
    • CAPF
    • CAT
    • CBSE Class 11
    • CBSE Class 12
    • CDS
    • CLAT
    • CSIR UGC
    • GATE
    • IIT JAM
    • JEE
    • Karnataka CET
    • Karnataka PSC
    • Kerala PSC
    • MHT CET
    • MPPSC
    • NDA
    • NEET PG
    • NEET UG
    • NTA UGC
    • Railway Exam
    • SSC
    • TS EAMCET
    • UPSC
    • WBPSC
    • CFA

Share via

COPY