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Calculate the de Broglie wavelength of a...

Calculate the de Broglie wavelength of an electron moving with `1//3rd` of the speed of light in vacuum.
(Neglect relativistic effect)
(Planck's constant : `h=6.63xx10^(-34)Js`, Mass of electron : `m=9.11xx10^(-28)g`)

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To calculate the de Broglie wavelength of an electron moving at \( \frac{1}{3} \) of the speed of light, we can follow these steps: ### Step 1: Identify the Given Values We are given: - Planck's constant, \( h = 6.63 \times 10^{-34} \, \text{Js} \) - Mass of the electron, \( m = 9.11 \times 10^{-28} \, \text{g} \) - Speed of light, \( c = 3 \times 10^{8} \, \text{m/s} \) ...
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Calculate de Broglie wavelength of an electron moving with 1% of the speed of light.

Calculate the de-Broglie wavelength of an electron moving with one fifth of the speed of light. Neglect relativistic effects. (h=6.63 xx 10^(-34) J.s., c=3xx10^(8)m//s , mass of electron =9xx10^(-31)kg)

Knowledge Check

  • What is the de broglie wavelength of an electron moving with 1/3 of the speed of light in vaccum ? (Neglect the relativistic effect ) [h=6.63xx10^(-34) J.s (M_e=9.11xx10^(-28) g)]

    A
    a. `7.278xx10^(-12) m`
    B
    b. `6.782 xx10^(-11) m`
    C
    c. `8.532xx10^(-11) m`
    D
    d. `9.728xx10^(-12) m`
  • The de Brogile wavelength of an electron (mass =1 xx 10^(-30) kg, charge = 1.6 xx 10^(-19)C) with a kinetic energy of 200 eV is (Planck's constant = 6.6 xx 10^(-34) Js)

    A
    `9. 60 xx 10^(-11)` m
    B
    `8. 25 xx 10^(-11)` m
    C
    `6.25 xx 10^(-11)` m
    D
    `5.00 xx 10^(-11)` m
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    (b) Calculate de Broglie wavelength for an electron moving with a speed of 10^(6)" m s"^(-1) .

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    What is the de-Broglie wavelength associated with an electron moving with a speed of 5.4 xx 10^6 ms^(-1) ?

    If the deBroglie wavelenght of an of a photon of frequency 6xx 10 ^4 Hz ,then the speed of electron is equal to (Speed of light =3 xx 10^8 m//s Planck's constant =6.63 xx 10 ^(-34) J s Mass of electron =9.1 xx 10 ^(-31) kg

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