College Physics
11th Edition
ISBN: 9781305952300
Author: Raymond A. Serway, Chris Vuille
Publisher: Cengage Learning
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![### Question
An electron moving at the same speed as a proton will have _______ wavelength than a proton.
- [ ] longer
- [ ] shorter
- [ ] the same
### Explanation:
To answer the question, we need to understand the concept of de Broglie wavelength given by the formula:
\[ \lambda = \frac{h}{mv} \]
Where:
- \(\lambda\) is the wavelength,
- \(h\) is Planck's constant,
- \(m\) is the mass of the particle,
- \(v\) is the velocity of the particle.
Given that both the electron and the proton are moving at the same speed (\(v\)), the wavelength (\(\lambda\)) will mainly depend on the mass (\(m\)).
An electron has much less mass than a proton. Therefore, when substituting the values into the de Broglie equation, we will find that the electron will have a **longer** wavelength compared to the proton.
Thus, the correct answer is:
- **longer**](https://content.bartleby.com/qna-images/question/f069b3c7-7f9d-47ba-a0ca-6a0fe29c2d54/0abb672a-f9a6-4a0d-82d9-faddcb7fbb0f/v5nzffr_processed.jpeg)
Transcribed Image Text:### Question
An electron moving at the same speed as a proton will have _______ wavelength than a proton.
- [ ] longer
- [ ] shorter
- [ ] the same
### Explanation:
To answer the question, we need to understand the concept of de Broglie wavelength given by the formula:
\[ \lambda = \frac{h}{mv} \]
Where:
- \(\lambda\) is the wavelength,
- \(h\) is Planck's constant,
- \(m\) is the mass of the particle,
- \(v\) is the velocity of the particle.
Given that both the electron and the proton are moving at the same speed (\(v\)), the wavelength (\(\lambda\)) will mainly depend on the mass (\(m\)).
An electron has much less mass than a proton. Therefore, when substituting the values into the de Broglie equation, we will find that the electron will have a **longer** wavelength compared to the proton.
Thus, the correct answer is:
- **longer**
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- The cutoff frequency of a material is f0. Are electrons emitted from the material when (a) light of frequency greater than f0 is incident on the material? Or (b) Less than f0 ?arrow_forwardAccording to Heisenberg's Uncertainty Principle, as we narrow a slit that light travels through, what must happen to the momentum of that light? O it must decrease O it must increase O it must remain unchanged O it must increasingly varyarrow_forward(a) What is the energy in joules of an x-ray photon with wavelength 3.08 x 10-10 m? (b) Convert the energy to electron volts. kev (c) If more penetrating x-rays are desired, should the wavelength be increased or decreased? O increased decreased (d) Should the frequency be increased or decreased? increased O decreasedarrow_forward
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