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Calculate the electronic velocity in the...

Calculate the electronic velocity in the first Bohr orbit of hydrogen.

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To calculate the electronic velocity in the first Bohr orbit of hydrogen, we can follow these steps: ### Step 1: Identify the parameters For hydrogen, the atomic number (Z) is 1, and we are considering the first Bohr orbit, so the principal quantum number (n) is also 1. ### Step 2: Use the formula for the velocity of an electron in the nth orbit The velocity (v) of an electron in the nth orbit of a hydrogen atom can be calculated using the formula: \[ v = \frac{2.18 \times 10^6 \, Z}{n} \, \text{m/s} \] ...
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Calculate the velocity of electron in the first Bohr orbit of hydrogen atom. Given that Bohr radius = 0.529 Å , Planck's constant, h = 6.626 xx 10^(-34)J s, mass of electron = 9.11 xx 10^(-31) kg and 1J = 1kg m^(2) s^(-2) . Also calculate the velocity of electron in third orbit of He^(+) ion

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Knowledge Check

  • The electronic velocity in the fourth Bohr orbit of hydrogen is v. The velocity of the electron in the first orbit would be

    A
    4v
    B
    16v
    C
    v/4
    D
    v/16

  • The electronic velocity in the fourth Bohr's orbit fo hydrogen is u . The velocity of the electron in the first orbit would be :

    A
    `4u`
    B
    `16 u`
    C
    ` u//4`
    D
    `u //16`

  • What is the orbital acceleration of the electron in the first bohr orbit of hydrogen atom ?

    A
    `(h)/(2pi^2m^2r^3)`
    B
    `(h^2)/(2pi^2m^2r^2)`
    C
    `(h^2)/(4pi^2m^2r^3)`
    D
    `(h^3)/(4pi^2m^2 r^2)`

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