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Please can someone help me with the formula for electron volt in energy quantization, and...

Please can someone help me with the formula for electron volt in energy quantization, and also the formulae for wavelength in duality?

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Answers (3)

EmX
2 months ago
I hope you understand.
isaaq
2 months ago
1.The formula for energy in terms of charge and potential difference is E = QV. So 1 eV = (1.6 x 10^-19 coulombs)x(1 volt) = 1.6 x 10^-19 Joules.

2. De Broglie first used Einstein's famous equation relating matter and energy :
\[ E = mc^2 \]
E= energy, m = mass, c = speed of light
2. Using Planck's theory which states every quantum of a wave has a discrete amount of energy given by Planck's equation:
\[ E= h \nu\]
E = energy, h = Plank's constant(6.62607 x 10 J s), υ = frequency
3. Since de Broglie believes particles and wave have the same traits, the two energies would be the same:
\[ mc^2 = h\nu
4. Because real particles do not travel at the speed of light, De Broglie subsituted v, velocity, for c, the speed of light.
\[ mv^2 = h\nu \]
5. Through the equation \(\lambda\), de Broglie substituted \( v/\lambda\) for \(\nu\) and arrived at the final expression that relates wavelength and particle with speed.
\[ mv^2 = \dfrac{hv}{\lambda} \]
Hence:
\[ \lambda = \dfrac{hv}{mv^2} = \dfrac{h}{mv}
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