Q.
The wavelength λe of an electron and λp of a photon of same energy E are related by
A) λp ∝ λe²
B) λp ∝ λe
C) λp ∝ √λe
D) λp ∝ 1/√λe
Explanation
[Solution from source] Electron: λe = h/√(2mE), so λe² ∝ 1/E. Photon: λp = hc/E ∝ 1/E. Therefore λp ∝ λe². A direct proportion would be true only if both depended on E in the same way. Answer (1).
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.