- #1
robertjford80
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Homework Statement
The Attempt at a Solution
I don't see how they got sqrt(1.5/E) I tried it like this
Not the right answer.
De Broglie Wavelength: Homework Question Solution
- Thread starter robertjford80
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SUMMARY
The discussion focuses on solving a homework problem related to the De Broglie wavelength, specifically addressing the calculation of the expression sqrt(1.5/E). The correct approach involves squaring the equation h/(√2m) to derive 1.5 = h²/(2m). The user successfully computed h²/(2mE) using E = 1 to match the expected numerical answer, and utilized the Google Calculator to convert units from m² to nm² for consistency.
PREREQUISITES- Understanding of De Broglie wavelength concepts
- Familiarity with quantum mechanics principles
- Knowledge of the relationship between energy, mass, and wavelength
- Proficiency in using scientific calculators or tools like Google Calculator
- Study the derivation of the De Broglie wavelength formula
- Learn about the implications of quantum mechanics on particle behavior
- Explore unit conversions in physics, particularly between m² and nm²
- Investigate the significance of Planck's constant in quantum calculations
Students studying quantum mechanics, physics educators, and anyone tackling problems related to wave-particle duality and De Broglie wavelengths.
I don't see how they got sqrt(1.5/E) I tried it like this
Not the right answer.
- #2
cepheid
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robertjford80 said:Homework Statement
The Attempt at a Solution
I don't see how they got sqrt(1.5/E) I tried it like this
Not the right answer.
It looks like you took the square root of h/(√2m) when you should have done the exact opposite: you should have squared it. Here's the reason. If:$$\sqrt{1.5} = \frac{h}{\sqrt{2m}}$$then$$1.5 = \frac{h^2}{2m}$$
I computed h^2/(2mE), and I plugged in a value of E = 1 so that I would get the same numerical answer as they did. I also had Google express it in nm^2 instead of m^2, so that the answer would be the same as theirs:
Google Calculator link
- #3
robertjford80
- 388
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cool, i got it now.
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