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Tamil Nadu Board of Secondary EducationHSC Science Class 12

A proton and an electron have the same kinetic energy. Which one has a greater de Broglie wavelength? Justify. - Physics

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Question

A proton and an electron have the same kinetic energy. Which one has a greater de Broglie wavelength? Justify.

Answer in Brief

Solution

de-Broglie wavelength of the particle is λ = `"h"/"p" = "h"/sqrt(2"mK")`

i.e. `λ ∝ "h"/sqrt"m"`

As for me < mp,

So λe > λp

Hence wavelength of electron is greater than that of proton.

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Chapter 8: Dual Nature of Radiation and Matter - Evaluation [Page 137]

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Samacheer Kalvi Physics - Volume 1 and 2 [English] Class 12 TN Board
Chapter 8 Dual Nature of Radiation and Matter
Evaluation | Q II. 11. | Page 137
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