Physics, 28.09.2019 22:10 xoaprilox

What is the de broglie wavelength of

(a) 1 ev electron

(b) 10 mev proton

(c) 100 mev electron? (you might need to use the relativistic energy formula for ©

Answers: 2

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Answer from: neariah24

(a). The wave length of 1 eV electron is $1.23\times10^{-9}\ m$ .

(b). The wave length of 10 MeV proton is $9.06\times10^{-15}\ m$ .

(c). The wave length of 100 MeV electron is $1.23\times10^{-13}\ m$ .

Explanation:

Given that,

$E =1\ ev$

E=10 MeV

E=100 MeV

(a). We need to calculate the wavelength of 1 eV electron

Using formula of De Broglie wavelength

$\lambda=\dfrac{h}{\sqrt{2mE}}$

$\lambda=\dfrac{6.63\times10^{-34}}{\sqrt{2\times9.1\times10^{-31}\times1\times1.6\times10^{-19}}}$

$\lambda=1.23\times10^{-9}\ m$

$\lambda=1.23\ nm$

The wave length of 1 eV electron is $1.23\times10^{-9}\ m$ .

(b). We need to calculate the wavelength of 10 MeV proton

Using formula of De Broglie wavelength

$\lambda=\dfrac{h}{\sqrt{2mE}}$

Put the value into the formula

$\lambda=\dfrac{6.63\times10^{-34}}{\sqrt{2\times1.67\times10^{-27}\times10\times10^{6}\times1.6\times10^{-19}}}$

$\lambda=\dfrac{6.63\times10^{-34}}{\sqrt{5.344\times10^{-39}}}$

$\lambda=9.06\times10^{-15}\ m$

The wave length of 10 MeV proton is $9.06\times10^{-15}\ m$ .

(c). We need to calculate the wavelength of 100 MeV electron

Using formula of De Broglie wavelength

$\lambda=\dfrac{h}{\sqrt{2mE}}$

Put the value into the formula

$\lambda=\dfrac{6.63\times10^{-34}}{\sqrt{2\times9.1\times10^{-31}\times100\times10^{6}\times1.6\times10^{-19}}}$

$\lambda=1.23\times10^{-13}\ m$

The wave length of 100 MeV electron is $1.23\times10^{-13}\ m$ .

Hence, This is the required solution.

Answer from: Quest

if the person is shown to have +90n, then ans is -10n.

if the person is shown to have -90n, then ans is +10n.

Answer from: Quest

bacteria that live on the ocean floor are sustained by phytoplankton. phytoplankton, microscopic marine photosynthetic organisms, have a vastly significant role to play not only in the marine food web of which they’re part of, but also on a more global scale. despite their infinitely small size in comparison to other marine organisms, these tiny creatures occupy an immensely important ecological niche: they are the foundation of the marine food web, and as primary producers, play key roles in supporting all other organisms in the marine environment, as well as in the regulation of the earth’s climate through the sequestration of carbon, oxygen production, and other related processes. phytoplankton account for roughly half of all global primary productivity; therefore, their significance extends far beyond the marine environment alone. there is an intriguing sense of irony in the realization that these tiny living beings that often live out their existence unnoticed and undetected by the rest of the world, have such a far-reaching impact on the lives of virtually all other living organisms on the planet, particularly on those in the marine environment. the world that we have become accustomed to has been and is continuously shaped by the workings of these miniscule yet vital “plants of the sea”.

hope this !

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What is the de broglie wavelength of

(a) 1 ev electron

(b) 10 mev proton

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