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Tamil Nadu Board of Secondary EducationHSC Science Class 11

How fast must a 54 g tennis ball travel in order to have a de Broglie wavelength that is equal to that of a photon of green light 5400 Å? - Chemistry

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Question

How fast must a 54 g tennis ball travel in order to have a de Broglie wavelength that is equal to that of a photon of green light 5400 Å?

Numerical

Solution

Given: de Broglie wavelength of the tennis ball equal to 5400 Å.

m = 54 g

v = ?

λ = `"h"/"mV"`

V = `"h"/"mλ"`

V = `(6.626 xx 10^-34 "JS")/(54 xx 10^-3  "Kg" xx 5400 xx 10^-10  "m")`

V = 2.27 × 10−26 ms−1

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Wave Particle Duality of Matter
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Chapter 2: Quantum Mechanical Model of Atom - Evaluation [Page 65]

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Samacheer Kalvi Chemistry - Volume 1 and 2 [English] Class 11 TN Board
Chapter 2 Quantum Mechanical Model of Atom
Evaluation | Q II. 12. | Page 65
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