Quick Links
Quick Links
Exams
Test Series
Previous Year Papers
JEE Main Previous Year Question Paper JEE Advanced Previous Year Papers NEET Previous Year Question Paper CUET Previous Year Papers COMEDK UGET Previous Year Papers UP Polytechnic Previous Year Papers AP POLYCET Previous Year Papers TS POLYCET Previous Year Papers KEAM Previous Year Papers MHT CET Previous Year Papers WB JEE Previous Year Papers GUJCET Previous Year Papers ICAR AIEEA Previous Year Papers CUET PG Previous Year Papers JCECE Previous Year Papers Karnataka PGCET Previous Year Papers NEST Previous Year Papers KCET Previous Year Papers LPUNEST Previous Year Papers AMUEEE Previous Year Papers IISER IAT Previous Year Papers Bihar Diploma DECE-LE Previous Year Papers NPAT Previous Year Papers JMI Entrance Exam Previous Year Papers PGDBA Exam Previous Year Papers AP ECET Previous Year Papers PU CET Previous Year Papers GPAT Previous Year Papers CEED Previous Year Papers AIAPGET Previous Year Papers JKCET Previous Year Papers HPCET Previous Year Papers CG PAT Previous Year Papers SRMJEEE Previous Year Papers BCECE Previous Year Papers AGRICET Previous Year Papers TS PGECET Previous Year Papers MP PAT Previous Year Papers IIT JAM Previous Year Papers CMC Vellore Previous Year Papers ACET Previous Year Papers TS EAMCET Previous Year Papers NATA Previous Year Papers AIIMS MBBS Previous Year Papers BITSAT Previous Year Papers JEXPO Previous Year Papers HITSEEE Previous Year Papers AP EAPCET Previous Year Papers UCEED Previous Year Papers CG PET Previous Year Papers OUAT Previous Year Papers VITEEE Previous Year Papers
Syllabus
JEE Main Syllabus JEE Advanced Syllabus NEET Syllabus CUET Syllabus COMEDK UGET Syllabus UP Polytechnic JEECUP Syllabus AP POLYCET Syllabus TS POLYCET Syllabus KEAM Syllabus MHT CET Syllabus WB JEE Syllabus OJEE Syllabus ICAR AIEEA Syllabus CUET PG Syllabus NID Syllabus JCECE Syllabus Karnataka PGCET Syllabus NEST Syllabus KCET Syllabus UPESEAT EXAM Syllabus LPUNEST Syllabus PUBDET Syllabus AMUEEE Syllabus IISER IAT Syllabus NPAT Syllabus JIPMER Syllabus JMI Entrance Exam Syllabus AAU VET Syllabus PGDBA Exam Syllabus AP ECET Syllabus GCET Syllabus CEPT Syllabus PU CET Syllabus GPAT Syllabus CEED Syllabus AIAPGET Syllabus JKCET Syllabus HPCET Syllabus CG PAT Syllabus BCECE Syllabus AGRICET Syllabus TS PGECET Syllabus BEEE Syllabus MP PAT Syllabus MCAER PG CET Syllabus VITMEE Syllabus IIT JAM Syllabus CMC Vellore Syllabus AIMA UGAT Syllabus AIEED Syllabus ACET Syllabus TS EAMCET Syllabus PGIMER Exam Syllabus NATA Syllabus AFMC Syllabus AIIMS MBBS Syllabus BITSAT Syllabus BVP CET Syllabus JEXPO Syllabus HITSEEE Syllabus AP EAPCET Syllabus GITAM GAT Syllabus UPCATET Syllabus UCEED Syllabus CG PET Syllabus OUAT Syllabus IEMJEE Syllabus VITEEE Syllabus SEED Syllabus MU OET Syllabus
Books
Cut Off
JEE Main Cut Off JEE Advanced Cut Off NEET Cut Off CUET Cut Off COMEDK UGET Cut Off UP Polytechnic JEECUP Cut Off AP POLYCET Cut Off TNEA Cut Off TS POLYCET Cut Off KEAM Cut Off MHT CET Cut Off WB JEE Cut Off ICAR AIEEA Cut Off CUET PG Cut Off NID Cut Off JCECE Cut Off Karnataka PGCET Cut Off NEST Cut Off KCET Cut Off UPESEAT EXAM Cut Off AMUEEE Cut Off IISER IAT Cut Off Bihar Diploma DECE-LE Cut Off JIPMER Cut Off JMI Entrance Exam Cut Off PGDBA Exam Cut Off AP ECET Cut Off GCET Cut Off CEPT Cut Off PU CET Cut Off CEED Cut Off AIAPGET Cut Off JKCET Cut Off HPCET Cut Off CG PAT Cut Off SRMJEEE Cut Off TS PGECET Cut Off BEEE Cut Off MP PAT Cut Off VITMEE Cut Off IIT JAM Cut Off CMC Vellore Cut Off ACET Cut Off TS EAMCET Cut Off PGIMER Exam Cut Off NATA Cut Off AFMC Cut Off AIIMS MBBS Cut Off BITSAT Cut Off BVP CET Cut Off JEXPO Cut Off HITSEEE Cut Off AP EAPCET Cut Off GITAM GAT Cut Off UCEED Cut Off CG PET Cut Off OUAT Cut Off VITEEE Cut Off MU OET Cut Off
Latest Updates
Eligibility
JEE Main Eligibility JEE Advanced Eligibility NEET Eligibility CUET Eligibility COMEDK UGET Eligibility UP Polytechnic JEECUP Eligibility TNEA Eligibility TS POLYCET Eligibility KEAM Eligibility MHT CET Eligibility WB JEE Eligibility OJEE Eligibility ICAR AIEEA Eligibility CUET PG Eligibility NID Eligibility JCECE Eligibility Karnataka PGCET Eligibility NEST Eligibility KCET Eligibility LPUNEST Eligibility PUBDET Eligibility AMUEEE Eligibility IISER IAT Eligibility Bihar Diploma DECE-LE Eligibility NPAT Eligibility JIPMER Eligibility JMI Entrance Exam Eligibility AAU VET Eligibility PGDBA Exam Eligibility AP ECET Eligibility GCET Eligibility CEPT Eligibility PU CET Eligibility GPAT Eligibility CEED Eligibility AIAPGET Eligibility JKCET Eligibility HPCET Eligibility CG PAT Eligibility SRMJEEE Eligibility BCECE Eligibility AGRICET Eligibility TS PGECET Eligibility MP PAT Eligibility MCAER PG CET Eligibility VITMEE Eligibility IIT JAM Eligibility CMC Vellore Eligibility AIMA UGAT Eligibility AIEED Eligibility ACET Eligibility PGIMER Exam Eligibility CENTAC Eligibility NATA Eligibility AFMC Eligibility AIIMS MBBS Eligibility BITSAT Eligibility JEXPO Eligibility HITSEEE Eligibility AP EAPCET Eligibility GITAM GAT Eligibility UPCATET Eligibility UCEED Eligibility CG PET Eligibility OUAT Eligibility IEMJEE Eligibility SEED Eligibility MU OET Eligibility
Home / Chemistry / De Broglie Relationship - Dual Behavior Of Matter | Testbook.com

De Broglie Relationship - Dual Behavior Of Matter | Testbook.com

Last Updated on Feb 18, 2025
Download As PDF
IMPORTANT LINKS
Structure of Atom
Energy Level Diagram Difference Between Orbit and Orbitals Energy of Orbitals Difference Between Atom and Ion Difference Between Elements and Atoms Isotope Difference Between Atomic Mass and Atomic Number Neutrons Cathode Ray Experiment Spin Quantum Number Electronic Configuration of First 30 Elements Canal Ray Experiment Discovery Of Electron Proton and Neutron Atomic Number Isotopes and Isobars Different Model of Atom Rutherford Model Of Atom Atomic Spectra Hydrogen Spectrum "Quantum Numbers Magnetic Quantum Number Aufbau Principle Hunds Rule Proton Electronic Configuration Bohrs Model Shapes Of Atomic Orbitals Protium Screening Effect and Shielding Effect Atomic Mass of Elements Atomic Orbitals Atomic Chemistry Boundary Surface Diagram Carbon Protons Mass and Charge of Electrons De Broglie Relationship Dual Behaviour of Electromagnetic Radiation Electron Configuration of Elements Bohrs Atomic Model and Its Limitations Electronic Configuration Of Elements and Stability Of Orbitals Electron Configuration Helium Lewis Dot Structure Calculate Relative Atomic Mass Find Percent Abundance Hydrogen Emission Spectrum Hydrogenic Atomic Orbital Thomsons Atomic Model and Its Limitations Isotopes of Hydrogen Isotopic Notation Neutral Atom Milliken's Oil Drop Experiment Photoelectron Spectroscopy Photoelectron Spectrum Quantum Mechanical Model of Atom Quantum Mechanics Questions and Answers Quantum Numbers Rutherfords Atomic Model and Limitations Drawbacks of Rutherford Atomic Model Electron Shell Spectral Lines Basics of Atoms Atomic Number and Mass Number Colour Spectrum Degenerate Orbitals Discovery of Electron Electrons Emission Spectrum and Absorption Spectrum Energy of Orbitals Isotopic Mass Quantum Theory Of Light Atomic Orbitals Chemistry Principle of Spectrophotometer Spectroscopy Subatomic Particles Thomson's Atomic Model Valence Electrons Atomic Structure Atomic Structure Formulas Eigenvectors Orbitals Polar Moment Of Inertia Electronic Configuration of Iron
Some Basic Concepts of Chemistry Classification of Elements and Periodicity in Properties Chemical Bonding and Molecular Structure Thermodynamics Equilibrium Redox Reactions Organic Chemistry Hydrocarbons Solutions Electrochemistry Chemical Kinetics D and F Block Elements Coordination Compounds Haloalkanes and Haloarenes Alcohols Phenols and Ethers Aldehydes Ketones and Carboxylic Acids Amines Biomolecules The Solid State Surface Chemistry P Block Elements Polymers Chemistry in Everyday Life States of Matter Hydrogen S Block Elements Environmental Chemistry
Applications Of Electrophoresis What Are Minerals How To Calculate Oxidation Number Sorting Materials Into Groups Neodymium Manganese Dioxide Inorganic Chemistry Bromination Potassium Bromate Difference Between Evaporation And Boiling Uses of Sodium Hydroxide Uses Of Colorimeter Resorcinol Positron Partition Chromatography Metal Magnesium Nitrate Gaseous State Epoxide Energy Level Diagram

Understanding De Broglie relationship

Bohr’s model was unable to account for several atomic spectrum-related phenomena and the splitting of spectral lines in magnetic and electric fields. To address these gaps, extensive research was conducted to develop a more comprehensive atomic model. A significant contribution to this endeavour was the analysis of the dual behaviour of matter proposed by de Broglie. According to de Broglie, just as light displays both wave-like and particle-like properties, matter too exhibits similar dual behaviour. This led to the derivation of a relationship between the wavelength and momentum of matter, now known as the de Broglie relationship.

Let's take a look at Einstein’s equation, considering the particle nature:

E= mc 2 —- (1)

Where,

E= energy

m= mass

c = speed of light

Now, considering the wave nature, we have the Plank’s equation:

E = hν      ——– (2)

Where,

E= energy

h = Plank’s constant

ν = frequency

 

If we equate (1) and (2),

mc 2 = hν ——– (3)

The frequency, ν, can be expressed in terms of wavelength, λ, as follows:

 

For a general particle, we can replace c with the object's velocity, v. Hence, equation (3) becomes:

 

 

 

This equation is known as the de Broglie relationship, and the wavelength, λ, is referred to as the de Broglie wavelength. The diffraction of electron beams demonstrates the de Broglie relationship, as diffraction is a characteristic of waves. An electron microscope is a common instrument that illustrates this principle. Consequently, every moving object has a wave-like character. However, the wavelengths associated with ordinary objects are so short due to their large mass that their wave properties are not detectable. Conversely, the wavelengths associated with electrons and other subatomic particles can be detected experimentally.

To learn more about the dual nature of matter and the de Broglie relationship, register with us and download our app.

 

 

 

More Articles for Chemistry

Frequently Asked Questions

The de Broglie relationship is a principle in quantum physics that explains the dual behaviour of matter, exhibiting both wave-like and particle-like properties. It is derived from Einstein’s and Plank’s equations.

The de Broglie wavelength is a term from the de Broglie relationship, representing the wave-like nature of a particle. It is significant in the field of quantum physics.

The de Broglie relationship is significant in the field of quantum physics as it explains the dual behaviour of matter. It helps us understand the wave-like properties of subatomic particles.
Crack BSF Head Constable/ASI with India’s Best Teachers & Coachings

Get 6 Months SuperCoaching @ just

₹1999 ₹499

Your Total Savings ₹1500
Purchase Now
Want to know more about this pass ?
Explore SuperCoaching
Test Series
244.1k Students
Current Affairs (CA) 2025 Mega Pack for SSC/Railways/State Exam Mock Test
431 TOTAL TESTS | 4 Free Tests
  • 168 Topic Specific
  • 52 Weekly Revision
  • 24 Monthly Digest
  • 12 Need-to-Know NEWS
  • 96 State Specific
  • 10 Previous Year Questions
  • 17 Revision 2024
  • 52 Advanced Current Affairs
Get Started
Report An Error
Exams Tests Super Practice