Target Exam

CUET

Subject

Physics

Chapter

Dual Nature of Radiation and Matter

Question:

Electron and Photon have same de Broglie wavelength, which of the following is true for their momentum:

Options:

Momentum of electron < momentum of photon

Momentum of electron and photon is zero

Momentum of electron = momentum of photon

Momentum of electron > momentum of photon

Correct Answer:

Momentum of electron = momentum of photon

Explanation:

The correct answer is Option (3) → Momentum of electron = momentum of photon

De-Broglie wavelength (λ) for a particle with momentum (P) is -

$λ=\frac{h}{P}⇒P=\frac{h}{λ}$

$∴P_{photon}=\frac{h}{λ}$ and $P_{electron}=\frac{h}{λ}$

[Wavelength of electron and proton is same]

$∴ P_{photon}=P_{electron}$