Tamil Nadu Board of Secondary EducationHSC Science Class 12th

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

Short Note

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

#### Solution

λ = "h"/"p"

Kinetic energy of the particle K = 1/2 "mv"^2 = "P"^2/(2"m") = "h"/(2"m"λ^2)

i.e. λ = "h"/sqrt(2"mK"); λ ∝ 1/sqrt"m"

λ_"e"/λ_"α" = sqrt("m"_α/"m"_"e")

Concept: Matter Waves
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#### APPEARS IN

Tamil Nadu Board Samacheer Kalvi Class 12th Physics Volume 1 and 2 Answers Guide
Chapter 8 Dual Nature of Radiation and Matter
Evaluation | Q II. 13. | Page 137
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