Tamil Nadu Board of Secondary EducationHSC Science Class 12th

# Write the expression for the de Broglie wavelength associated with a charged particle of charge q and mass m, when it is accelerated through a potential V. - Physics

Short Note

Write the expression for the de Broglie wavelength associated with a charged particle of charge q and mass m, when it is accelerated through a potential V.

#### Solution

An electron of mass m is accelerated through a potential difference of V volt. The kinetic energy acquired by the electron is given by 1/2 mv2 = eV

Therefore, the speed v of the electron is v = sqrt((2"eV")/"m")

Hence, the de Broglie wavelength of the electron is λ = "h"/"mv" = "h"/sqrt(2"emV"

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. 8. | Page 137
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