(a) Explanation Write the equation for the de Broglie wavelength. λ = h p (I) Here, λ is the de Broglie wavelength, h is the Planck’s constant and p is the momentum of the electron. Write the equation for the momentum of the electron. p = m e u (II) Here, m e is the mass of the electron and u is the speed of the electron. Write the equation for the kinetic energy of the electron. K = 1 2 m e u 2 Here, K is the kinetic energy of the electron. Multiply both numerator and denominator of the above equation by m e . K = 1 2 m e u 2 m e m e = m e 2 u 2 2 m e = ( m e u ) 2 2 m e Put equation (II) in the above equation and rewrite it for p . K = p 2 2 m e p 2 = 2 K m e p = 2 K m e Put the above equation in equation (I) (b) To determine The wavelength of the photon.

Physics for Scientists and Engineers with Modern Physics, Technology Update

9th Edition

ISBN: 9781305401969

Author: SERWAY, Raymond A.; Jewett, John W.

Publisher: Cengage Learning

See similar textbooks

Concept explainers

Compton effect

The incoming photons' energy must be in the range of an X-ray frequency to generate the Compton effect. The electron does not lose enough energy that reduces the wavelength of scattered photons towards the visible spectrum. As a result, with visible ligh…

Recoil Velocity

The amount of backward thrust or force experienced by a person when he/she shoots a gun in the forward direction is called recoil velocity. This phenomenon always follows the law of conservation of linear momentum.

Question

Chapter 40, Problem 40P

(a)

To determine

The wavelength of the electron.

(b)

To determine

The wavelength of the photon.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 40, Problem 39P

Chapter 40, Problem 41P

Students have asked these similar questions

Barium has a work function of 2.48 eV. What is the maximum kinetic energy of electrons if the metal is illuminated by UV light of wavelength 375 nm? What is their speed?

I have a physics question as follows : (a) An electron has kinetic energy 6.00 eV. Find its wavelength. (b) A photon has energy 6.00 eV. Find its wavelength.

(a) An electron moves with a speed of 4.70 * 10^6 m>s. What is its de Broglie wavelength? (b) A proton moves with the same speed. Determine its de Broglie wavelength.

Chapter 40 Solutions

Physics for Scientists and Engineers with Modern Physics, Technology Update

Ch. 40.1 - Prob. 40.1QQ Ch. 40.2 - Prob. 40.2QQ Ch. 40.2 - Prob. 40.3QQ Ch. 40.2 - Prob. 40.4QQ Ch. 40.3 - Prob. 40.5QQ Ch. 40.5 - Prob. 40.6QQ Ch. 40.6 - Prob. 40.7QQ Ch. 40 - Prob. 1OQ Ch. 40 - Prob. 2OQ Ch. 40 - Prob. 3OQ

Ch. 40 - Prob. 4OQ Ch. 40 - Prob. 5OQ Ch. 40 - Prob. 6OQ Ch. 40 - Prob. 7OQ Ch. 40 - Prob. 8OQ Ch. 40 - Prob. 9OQ Ch. 40 - Prob. 10OQ Ch. 40 - Prob. 11OQ Ch. 40 - Prob. 12OQ Ch. 40 - Prob. 13OQ Ch. 40 - Prob. 14OQ Ch. 40 - Prob. 1CQ Ch. 40 - Prob. 2CQ Ch. 40 - Prob. 3CQ Ch. 40 - Prob. 4CQ Ch. 40 - Prob. 5CQ Ch. 40 - Prob. 6CQ Ch. 40 - Prob. 7CQ Ch. 40 - Prob. 8CQ Ch. 40 - Prob. 9CQ Ch. 40 - Prob. 10CQ Ch. 40 - Prob. 11CQ Ch. 40 - Prob. 12CQ Ch. 40 - Prob. 13CQ Ch. 40 - Prob. 14CQ Ch. 40 - Prob. 15CQ Ch. 40 - Prob. 16CQ Ch. 40 - Prob. 17CQ Ch. 40 - The temperature of an electric heating element is...Ch. 40 - Prob. 2P Ch. 40 - Prob. 3P Ch. 40 - Prob. 4P Ch. 40 - Prob. 5P Ch. 40 - Prob. 6P Ch. 40 - Prob. 7P Ch. 40 - Prob. 8P Ch. 40 - Prob. 9P Ch. 40 - Prob. 10P Ch. 40 - Prob. 11P Ch. 40 - Prob. 12P Ch. 40 - Prob. 14P Ch. 40 - Prob. 15P Ch. 40 - Prob. 16P Ch. 40 - Prob. 17P Ch. 40 - Prob. 18P Ch. 40 - Prob. 19P Ch. 40 - Prob. 20P Ch. 40 - Prob. 21P Ch. 40 - Prob. 22P Ch. 40 - Prob. 23P Ch. 40 - Prob. 25P Ch. 40 - Prob. 26P Ch. 40 - Prob. 27P Ch. 40 - Prob. 28P Ch. 40 - Prob. 29P Ch. 40 - Prob. 30P Ch. 40 - Prob. 31P Ch. 40 - Prob. 32P Ch. 40 - Prob. 33P Ch. 40 - Prob. 34P Ch. 40 - Prob. 36P Ch. 40 - Prob. 37P Ch. 40 - Prob. 38P Ch. 40 - Prob. 39P Ch. 40 - Prob. 40P Ch. 40 - Prob. 41P Ch. 40 - Prob. 42P Ch. 40 - Prob. 43P Ch. 40 - Prob. 45P Ch. 40 - Prob. 46P Ch. 40 - Prob. 47P Ch. 40 - Prob. 48P Ch. 40 - Prob. 49P Ch. 40 - Prob. 50P Ch. 40 - Prob. 51P Ch. 40 - Prob. 52P Ch. 40 - Prob. 53P Ch. 40 - Prob. 54P Ch. 40 - Prob. 55P Ch. 40 - Prob. 56P Ch. 40 - Prob. 57P Ch. 40 - Prob. 58P Ch. 40 - Prob. 59P Ch. 40 - Prob. 60AP Ch. 40 - Prob. 61AP Ch. 40 - Prob. 62AP Ch. 40 - Prob. 63AP Ch. 40 - Prob. 64AP Ch. 40 - Prob. 65AP Ch. 40 - Prob. 66AP Ch. 40 - Prob. 67AP Ch. 40 - Prob. 68AP Ch. 40 - Prob. 69AP Ch. 40 - Prob. 70AP Ch. 40 - Prob. 71AP Ch. 40 - Prob. 72CP Ch. 40 - Prob. 73CP Ch. 40 - Prob. 74CP Ch. 40 - Prob. 75CP Ch. 40 - Prob. 76CP

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.

The wavelength of the electron.

Solution Summary: The author writes the equation for the de Broglie wavelength, the Planck’s constant, and the momentum of the electron.

Concept explainers

The wavelength of the electron.

The wavelength of the photon.

Want to see the full answer?

Chapter 40 Solutions