Calculate the de Broglie wavelength of a proton whose kinetic energy is equal to 81 . 9 × 10 - 15 J . (Given: mass of proton is 1836 times that of electron).

The wave-particle duality of radiation was extended to matter by a French physicist Louis de Broglie in 1924.Greatly influenced by the symmetry in nature, de Broglie suggested that if radiation like light can act as particles at times, then matter particles like electrons should also act as waves at times. According to de Broglie hypothesis, all matter particles like electrons, protons, neutrons in motion are associated with waves. These waves are called de Broglie waves or matter waves. In the terms of kinetic energy, the de broglie wavelength is, λ = h 2 mK . . . . . ( i ) or λ = 6 . 6 × 10 - 34 2 × 1 . 67 × 10 - 27 × 81 . 9 × 10 - 15 = 4 × 10 14 m .

MEDIUM

12th Telangana Board

IMPORTANT

Earn 100

Write the relationship of de Broglie wavelength $λ$ associated with a particle of mass $m$ in terms of its kinetic energy $K$ .

Important Questions on Dual Nature of Radiation and Matter

MEDIUM

12th Telangana Board

IMPORTANT

Physics Crash Course (Based on Revised Syllabus-2023)>Chapter 12 - Dual Nature of Radiation and Matter>Exercise>Q 53

An electron and an alpha particle have same kinetic energy. How are the de Broglie wavelengths associated with them related?

MEDIUM

12th Telangana Board

IMPORTANT

Physics Crash Course (Based on Revised Syllabus-2023)>Chapter 12 - Dual Nature of Radiation and Matter>Exercise>Q 54

What should be the velocity of the electron so that its momentum equals that of

4000 \dot{A}

wavelength photon.

MEDIUM

12th Telangana Board

IMPORTANT

Physics Crash Course (Based on Revised Syllabus-2023)>Chapter 12 - Dual Nature of Radiation and Matter>Exercise>Q 55

Calculate the de Broglie wavelength of a proton whose kinetic energy is equal to

81.9 \times 10^{- 15} J

. (Given: mass of proton is

1836

times that of electron).

HARD

12th Telangana Board

IMPORTANT

Physics Crash Course (Based on Revised Syllabus-2023)>Chapter 12 - Dual Nature of Radiation and Matter>Exercise>Q 56

A deuteron and an alpha particle are accelerated with the same potential. Which one of the two has

(i)

greater value of de Broglie wavelength associated with it and

(ii)

less kinetic energy? Explain.

EASY

12th Telangana Board

IMPORTANT

Physics Crash Course (Based on Revised Syllabus-2023)>Chapter 12 - Dual Nature of Radiation and Matter>Exercise>Q 57

Write down de Broglie's relation and explain the terms therein.

EASY

12th Telangana Board

IMPORTANT

Physics Crash Course (Based on Revised Syllabus-2023)>Chapter 12 - Dual Nature of Radiation and Matter>Exercise>Q 58

What is the de Broglie wavelength of a ball of mass

0.12 kg

moving with a speed of

20 m / s

? What can we infer from this result? (Planck's constant

h = 6.62 \times 10^{- 34} J \cdot s

)

MEDIUM

12th Telangana Board

IMPORTANT

Physics Crash Course (Based on Revised Syllabus-2023)>Chapter 12 - Dual Nature of Radiation and Matter>Exercise>Q 59

A non-relativistic particle is moving three times as fast as an electron. The ratio of the de Broglie wavelength of the particle to that of the electron is

1.813 \times 10^{- 4}

. By calculating its mass, identify the particle.

HARD

12th Telangana Board

IMPORTANT

Physics Crash Course (Based on Revised Syllabus-2023)>Chapter 12 - Dual Nature of Radiation and Matter>Exercise>Q 60

An electron moves through a region of the uniform electric potential of

- 200 V

with a (total) energy of

500 eV .

What are its

(a)

kinetic energy (in electron-volts),

(b)

momentum,

(c)

speed,

(d)

de Broglie wavelength and

(e)

angular wave number?

Write the relationship of de Broglie wavelength λ associated with a particle of mass m in terms of its kinetic energy K.

Important Questions on Dual Nature of Radiation and Matter

Learn and Prepare for any exam you want !

Write the relationship of de Broglie wavelength $λ$ associated with a particle of mass $m$ in terms of its kinetic energy $K$ .