Answered: For an electron moving with a velocity…

Chemistry

10th Edition

ISBN:9781305957404

Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste

Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste

Chapter1: Chemical Foundations

Section: Chapter Questions

Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...

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For an electron moving with a velocity of 3.00 x 107 m/s, what is the de Broglie wavelength in meters? (Note that you may need to look up a value to complete this problem. No relativistic effects should be used in this problem.)

λ: __________________ m

Expert Solution

Given

Velocity of a moving electron, whose de-Broglie wavelength is to be determined.

Solution

de-Broglie wavelength can be determined by the formula,

$λ$ = $\frac{P l a n c k' s c o n s \tan t}{m a s s o f e l e c t r o n * V e l o c i t y o f e l e c t r o n}$

= $\frac{6.626 * 10^{- 34} k g m^{2} / s}{9.109 * 10^{- 31} k g * 3.00 * 10^{7} m / s}$

= 0.2425*10^-34+31-7m

$λ$ = 0.2425*10^-10m

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