(b)(i) Calculate the de Broglie wavelength of an electron having a massof 9.11 x 1031 kg and a charge of 1.602 x 10-19 J with a Kineticenergy of 135 eV. The value of the Planck's constant is equal to6.63 * 10-34 Js.(ii) Assume that an electron is moving along the x-axis with a speedof 3.66 x 106 m/s and with a precision of 0.50%. Calculate theminimum uncertainty (as allowed by the uncertainty principle inquantum theory) with which the position of the electron along theX-axis simultaneously can be measured with the speed?

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(i) Calculate the de Broglie wavelength of an electron having a mass of 9.11 x 10-31 kg and a charge of 1.602 x 10-19 J with a Kinetic energy of 135 eV. The value of the Planck's constant is equal to 6.63 * 10-34 Js.

(i) Calculate the de Broglie wavelength of an electron having a mass of 9.11 x 10-31 kg and a charge of 1.602 x 10-19 J with a Kinetic energy of 135 eV. The value of the Planck's constant is equal to 6.63 * 10-34 Js.

Modern Physics

3rd Edition

ISBN:9781111794378

Author:Raymond A. Serway, Clement J. Moses, Curt A. Moyer

Publisher:Raymond A. Serway, Clement J. Moses, Curt A. Moyer

Chapter3: The Quantum Theroy Of Light

Section: Chapter Questions

Problem 24P

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Question

(b)
(i) Calculate the de Broglie wavelength of an electron having a mass
of 9.11 x 1031 kg and a charge of 1.602 x 10-19 J with a Kinetic
energy of 135 eV. The value of the Planck's constant is equal to
6.63 * 10-34 Js.
(ii) Assume that an electron is moving along the x-axis with a speed
of 3.66 x 106 m/s and with a precision of 0.50%. Calculate the
minimum uncertainty (as allowed by the uncertainty principle in
quantum theory) with which the position of the electron along the
X-axis simultaneously can be measured with the speed?

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