The de Broglie wavelength of the electrons.

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Answer 1

Question

Chapter 39, Problem 39.62P

(a)

To determine

The de Broglie wavelength of the electrons.

(b)

To determine

Time taken by the electrons to reach slit to the screen.

(c)

To determine

The uncertainty in the y component of momentum of an electron just after it has passed through the slit using width of central diffraction pattern.

(d)

To determine

Minimum uncertainty principle in the y coordinate of an electron just after it has passed through the slit..

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A beam of 40 eV electrons traveling in the+x-directionpasses through a slit that is parallel to the y-axis and5.0 mm wide. The diffraction pattern is recorded on a screen 2.5 mfrom the slit. (a) What is the de Broglie wavelength of the electrons?(b) How much time does it take the electrons to travel from the slit tothe screen? (c) Use the width of the central diffraction pattern to calculatethe uncertainty in the y-component of momentum of an electronjust after it has passed through the slit. (d) Use the result of part(c) and the Heisenberg uncertainty principle [(Eq. 39.29) for y] toestimate the minimum uncertainty in the y-coordinate of an electronjust after it has passed through the slit. Compare your result to thewidth of the slit.

A single beam of electrons shines on a single slit of width 8.7nm. A diffraction pattern (of electrons!) is formed on a screen that is 3.9m away from the slit. The distance between the central bright spot and the first minimum is 5.7cm.What is the kinetic energy (keV, i.e. kilo electron-Volts) of the electrons?Make use of the small angle approximation.

An electron beam is shot through 2 thin slits with spacing 4.000 x 10-6 m and land on a detector 2.50 m away. The detector is 1.00 cm wide. You observe that the spacing of interference fringes is 8.25 x 10-6 m. (a) What is the wavelength of the electrons? (b) What is the momentum of the electrons? (c) What is the uncertainty in the momentum? (Hint: assume that the uncertainty in position is the width of the detector.)

Answer 2

Question

Chapter 39, Problem 39.62P

(a)

To determine

The de Broglie wavelength of the electrons.

(b)

To determine

Time taken by the electrons to reach slit to the screen.

(c)

To determine

The uncertainty in the y component of momentum of an electron just after it has passed through the slit using width of central diffraction pattern.

(d)

To determine

Minimum uncertainty principle in the y coordinate of an electron just after it has passed through the slit..

Expert Solution & Answer

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Answer 3

Question

Chapter 39, Problem 39.62P

(a)

To determine

The de Broglie wavelength of the electrons.

(b)

To determine

Time taken by the electrons to reach slit to the screen.

(c)

To determine

The uncertainty in the y component of momentum of an electron just after it has passed through the slit using width of central diffraction pattern.

(d)

To determine

Minimum uncertainty principle in the y coordinate of an electron just after it has passed through the slit..

Expert Solution & Answer

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Check out a sample textbook solution

See solution

Answer 4

Question

Chapter 39, Problem 39.62P

(a)

To determine

The de Broglie wavelength of the electrons.

(b)

To determine

Time taken by the electrons to reach slit to the screen.

(c)

To determine

The uncertainty in the y component of momentum of an electron just after it has passed through the slit using width of central diffraction pattern.

(d)

To determine

Minimum uncertainty principle in the y coordinate of an electron just after it has passed through the slit..

Expert Solution & Answer

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Check out a sample textbook solution

See solution

Answer 5

Chapter 39, Problem 39.62P

(a)

To determine

The de Broglie wavelength of the electrons.

(b)

To determine

Time taken by the electrons to reach slit to the screen.

(c)

To determine

The uncertainty in the y component of momentum of an electron just after it has passed through the slit using width of central diffraction pattern.

(d)

To determine

Minimum uncertainty principle in the y coordinate of an electron just after it has passed through the slit..

Answer 6

Chapter 39, Problem 39.62P

(a)

To determine

The de Broglie wavelength of the electrons.

Answer 7

Chapter 39, Problem 39.62P

(a)

To determine

The de Broglie wavelength of the electrons.

Answer 8

(b)

To determine

Time taken by the electrons to reach slit to the screen.

Answer 9

(b)

To determine

Time taken by the electrons to reach slit to the screen.

Answer 10

(c)

To determine

The uncertainty in the y component of momentum of an electron just after it has passed through the slit using width of central diffraction pattern.

Answer 11

(c)

To determine

The uncertainty in the y component of momentum of an electron just after it has passed through the slit using width of central diffraction pattern.

Answer 12

(d)

To determine

Minimum uncertainty principle in the y coordinate of an electron just after it has passed through the slit..

Answer 13

(d)

To determine

Minimum uncertainty principle in the y coordinate of an electron just after it has passed through the slit..

Answer 14

Expert Solution & Answer

Answer 15

Expert Solution & Answer

Answer 16

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Answer 17

Ch. 39.2 - Prob. 39.2TYU Ch. 39.3 - Prob. 39.3TYU Ch. 39.4 - Prob. 39.4TYU Ch. 39.5 - Prob. 39.5TYU Ch. 39.6 - Prob. 39.6TYU Ch. 39 - Prob. 39.1DQ Ch. 39 - Prob. 39.2DQ Ch. 39 - Prob. 39.3DQ Ch. 39 - When an electron beam goes through a very small...Ch. 39 - Prob. 39.5DQ

The de Broglie wavelength of the electrons.

Solution Summary: The author explains the de Broglie wavelength of electrons, which is 1.94times 10-10 m.

Concept explainers

The de Broglie wavelength of the electrons.

Time taken by the electrons to reach slit to the screen.

The uncertainty in the y component of momentum of an electron just after it has passed through the slit using width of central diffraction pattern.

Minimum uncertainty principle in the y coordinate of an electron just after it has passed through the slit..

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Chapter 39 Solutions