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What is the speed of a proton having de Broglie wavelength of 0.08 Å?

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Question

What is the speed of a proton having de Broglie wavelength of 0.08 Å?

Numerical
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Solution

Data: λ = 0.08 Å = 8 × 10-12 m, h = 6.63 × 10-34 J.s, m = 1.672 × 10-27 kg

λ = `"h"/"mv"`

∴ v= `"h"/"mλ"`

v = `(6.63xx10^-34)/((8 xx 10^-12)(1.672 xx 10^-27))`

v = 4.957 × 104 m/s

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Chapter 14: Dual Nature of Radiation and Matter - Exercises [Page 323]

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Balbharati Physics [English] Standard 12 Maharashtra State Board
Chapter 14 Dual Nature of Radiation and Matter
Exercises | Q 16. | Page 323

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