Calculate the wavelength of an electron mass 9.1*10^-31kg moving with a velocity of 2.0*10^6m/s (h=6.63*10^-34Js) (Hint: De Broglie’s wavel

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Calculate the wavelength of an electron mass 9.1*10^-31kg moving with a velocity of 2.0*10^6m/s (h=6.63*10^-34Js) (Hint: De Broglie’s wavelength)

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  1. Answer:

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

    Explanation:

    We have,

    Velocity an electron is [tex]2\times 10^6\ m/s[/tex]

    Mass of an electron is [tex]9.1\times 10^{-31}\ kg[/tex]

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

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

    h is Planck’s constant

    [tex]\lambda=\dfrac{6.63\times 10^{-34}}{9.1\times 10^{-31}\times 2\times 10^6}\\\\\lambda=3.64\times 10^{-10}\ m[/tex]

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

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