If the proton and electron have the same speed then which particle would have longer de Broglie wavelength.

Question

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Answer 1

Question

Chapter 39, Problem 39.1DQ

To determine

If the proton and electron have the same speed then which particle would have longer de Broglie wavelength.

Expert Solution & Answer

Answer to Problem 39.1DQ

The electron would have longer wavelength.

Explanation of Solution

The de Broglie wavelength of any particle or any object is the ratio Plank’s constant and momentum. Since the de Broglie wave length inversely proportional to the momentum of the particle or object, hence inversely proportional to the mass and velocity of the particle or object.

Here both electron and proton moves with same speed. Since according to the definition of de Broglie wavelength, the wavelength for a moving particle or object is inversely proportional to the mass and speed.

In this case speed of the both particle is same. Therefore the other quantity which depends on the wavelength is mass. The particle with lower mass would have shorter wavelength and vice versa. Thus, compared to proton electron has lower mass. Thus, electron exhibit longer de Broglie wavelength.

Conclusion:

Therefore, the electron would have longer wave length.

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01:32

Students have asked these similar questions

Certain types of particle detectors can be used to reconstruct the tracks left by unstable, fast-moving sub-atomic particles. Assume that a track with a length of L=2.97 mm in the laboratory frame of reference has been observed. Further assume that you determined from other detector data that the particle moved at a speed of L=0.910 ⚫ c, also in the laboratory frame of reference. c denotes the speed of light in vacuum. What proper lifetime would you determine for this particle from the data given? T= 4.0 S

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While cruising down University Boulevard you are stopped by a cop who states that you ran a red traffic light. Because you don't want to pay the stiff fine, you are attempting a physics defense. You claim that due to the relativistic Doppler effect, the red color of the light λ=616 nm appeared green '=531 nm to you. The cop makes a quick calculation of his own and rejects your defense. How fast, in terms of your speed u divided by the speed of light in vacuum c, would you have to drive to justify your claim? Note that the speed u is taken to be a positive quantity. U 4.0 C

Answer 2

Question

Chapter 39, Problem 39.1DQ

To determine

If the proton and electron have the same speed then which particle would have longer de Broglie wavelength.

Expert Solution & Answer

Answer to Problem 39.1DQ

The electron would have longer wavelength.

Explanation of Solution

The de Broglie wavelength of any particle or any object is the ratio Plank’s constant and momentum. Since the de Broglie wave length inversely proportional to the momentum of the particle or object, hence inversely proportional to the mass and velocity of the particle or object.

Here both electron and proton moves with same speed. Since according to the definition of de Broglie wavelength, the wavelength for a moving particle or object is inversely proportional to the mass and speed.

In this case speed of the both particle is same. Therefore the other quantity which depends on the wavelength is mass. The particle with lower mass would have shorter wavelength and vice versa. Thus, compared to proton electron has lower mass. Thus, electron exhibit longer de Broglie wavelength.

Conclusion:

Therefore, the electron would have longer wave length.

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01:32

Answer 3

Question

Chapter 39, Problem 39.1DQ

To determine

If the proton and electron have the same speed then which particle would have longer de Broglie wavelength.

Expert Solution & Answer

Answer to Problem 39.1DQ

The electron would have longer wavelength.

Explanation of Solution

The de Broglie wavelength of any particle or any object is the ratio Plank’s constant and momentum. Since the de Broglie wave length inversely proportional to the momentum of the particle or object, hence inversely proportional to the mass and velocity of the particle or object.

Here both electron and proton moves with same speed. Since according to the definition of de Broglie wavelength, the wavelength for a moving particle or object is inversely proportional to the mass and speed.

In this case speed of the both particle is same. Therefore the other quantity which depends on the wavelength is mass. The particle with lower mass would have shorter wavelength and vice versa. Thus, compared to proton electron has lower mass. Thus, electron exhibit longer de Broglie wavelength.

Conclusion:

Therefore, the electron would have longer wave length.

Want to see more full solutions like this?

Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!

01:32

Answer 4

Question

Chapter 39, Problem 39.1DQ

To determine

If the proton and electron have the same speed then which particle would have longer de Broglie wavelength.

Expert Solution & Answer

Answer to Problem 39.1DQ

The electron would have longer wavelength.

Explanation of Solution

The de Broglie wavelength of any particle or any object is the ratio Plank’s constant and momentum. Since the de Broglie wave length inversely proportional to the momentum of the particle or object, hence inversely proportional to the mass and velocity of the particle or object.

Here both electron and proton moves with same speed. Since according to the definition of de Broglie wavelength, the wavelength for a moving particle or object is inversely proportional to the mass and speed.

In this case speed of the both particle is same. Therefore the other quantity which depends on the wavelength is mass. The particle with lower mass would have shorter wavelength and vice versa. Thus, compared to proton electron has lower mass. Thus, electron exhibit longer de Broglie wavelength.

Conclusion:

Therefore, the electron would have longer wave length.

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Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!

01:32

Answer 5

Chapter 39, Problem 39.1DQ

To determine

If the proton and electron have the same speed then which particle would have longer de Broglie wavelength.

Expert Solution & Answer

Answer to Problem 39.1DQ

The electron would have longer wavelength.

Explanation of Solution

The de Broglie wavelength of any particle or any object is the ratio Plank’s constant and momentum. Since the de Broglie wave length inversely proportional to the momentum of the particle or object, hence inversely proportional to the mass and velocity of the particle or object.

Here both electron and proton moves with same speed. Since according to the definition of de Broglie wavelength, the wavelength for a moving particle or object is inversely proportional to the mass and speed.

In this case speed of the both particle is same. Therefore the other quantity which depends on the wavelength is mass. The particle with lower mass would have shorter wavelength and vice versa. Thus, compared to proton electron has lower mass. Thus, electron exhibit longer de Broglie wavelength.

Conclusion:

Therefore, the electron would have longer wave length.

Answer 6

Chapter 39, Problem 39.1DQ

To determine

If the proton and electron have the same speed then which particle would have longer de Broglie wavelength.

Expert Solution & Answer

Answer to Problem 39.1DQ

The electron would have longer wavelength.

Explanation of Solution

The de Broglie wavelength of any particle or any object is the ratio Plank’s constant and momentum. Since the de Broglie wave length inversely proportional to the momentum of the particle or object, hence inversely proportional to the mass and velocity of the particle or object.

Here both electron and proton moves with same speed. Since according to the definition of de Broglie wavelength, the wavelength for a moving particle or object is inversely proportional to the mass and speed.

In this case speed of the both particle is same. Therefore the other quantity which depends on the wavelength is mass. The particle with lower mass would have shorter wavelength and vice versa. Thus, compared to proton electron has lower mass. Thus, electron exhibit longer de Broglie wavelength.

Conclusion:

Therefore, the electron would have longer wave length.

Answer 7

Chapter 39, Problem 39.1DQ

To determine

If the proton and electron have the same speed then which particle would have longer de Broglie wavelength.

Answer 8

Expert Solution & Answer

Answer to Problem 39.1DQ

The electron would have longer wavelength.

Answer 9

Expert Solution & Answer

Answer 10

Expert Solution & Answer

Answer 11

Explanation of Solution

The de Broglie wavelength of any particle or any object is the ratio Plank’s constant and momentum. Since the de Broglie wave length inversely proportional to the momentum of the particle or object, hence inversely proportional to the mass and velocity of the particle or object.

Here both electron and proton moves with same speed. Since according to the definition of de Broglie wavelength, the wavelength for a moving particle or object is inversely proportional to the mass and speed.

In this case speed of the both particle is same. Therefore the other quantity which depends on the wavelength is mass. The particle with lower mass would have shorter wavelength and vice versa. Thus, compared to proton electron has lower mass. Thus, electron exhibit longer de Broglie wavelength.

Conclusion:

Therefore, the electron would have longer wave length.