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Calculate the de Broglie wavelength of an electron traveling at 2.0 x 10^8 m/s (me = 9.1*10^-31 kg).
6.9 x 10^-6 m
O 2.8 x 10^11 m
O 3.6 * 10^12 m

Answer :

Answer:

[tex]\lambda=3.64\times 10^{-12}\ m[/tex]

Explanation:

We have,

Speed of an electron is [tex]2\times 10^8\ m/s[/tex]

It is required to find the De Broglie wavelength of electron. The formula for the De- Broglie wavelength is given by :

[tex]\lambda=\dfrac{h}{mv}[/tex]

h is Planck's constant

m is mass of an electron

Plugging all the values we get :

[tex]\lambda=\dfrac{6.63\times 10^{-34}}{9.1\times 10^{-31}\times 2\times 10^{8}}\\\\\lambda=3.64\times 10^{-12}\ m[/tex]

So, the De-Broglie wavelength of an electron is [tex]3.64\times 10^{-12}\ m[/tex]

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