If an electron and a photon have energy, then,
(A) Electrons and photons both have wavelengths
(B) Electron and photon both have momentum
(C) Both electron and photon do not have momenta
(D) The electron has energy and momentum and the photon has energy only
Choose the correct answer from the options given below:
Answer & explanation
Correct answer: option 2
The correct answer is Option (2) → (A) and (B) only
Given: Both electron and photon have energy.
For an electron (particle):
De Broglie wavelength → $\lambda = \frac{h}{p}$
Momentum → $p = \frac{h}{\lambda}$
For a photon (quantum of light):
Energy → $E = h\nu$
Momentum → $p = \frac{E}{c} = \frac{h\nu}{c} = \frac{h}{\lambda}$
Hence, both electron and photon possess wavelength and momentum if they have energy.
Correct options:
(A) Electrons and photons both have wavelengths
(B) Electron and photon both have momentum
Final Answer:
(A) and (B)