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Using Bohr theory, calculate the radii o...

Using Bohr theory, calculate the radii of the first and the tenth orbits in the hydrogen atom

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To calculate the radii of the first and tenth orbits in a hydrogen atom using Bohr's theory, we can follow these steps: ### Step 1: Understand the Formula According to Bohr's theory, the radius of the nth orbit (Rn) is given by the formula: \[ R_n = \frac{0.53 \, n^2}{Z} \, \text{Å} \] where: - \( R_n \) is the radius of the nth orbit, - \( n \) is the principal quantum number (orbit number), ...
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Knowledge Check

  • The ratio of radii of the first three Bohr orbits is

    A
    `1 : (1)/(2) : (1)/(3)`
    B
    `1 : 2 : 3`
    C
    `1 : 4 : 9`
    D
    `1 : 8 : 27`
  • The ratio of the radii of the first three Bohr orbit in H atom is

    A
    `1: (1)/(2):(1)/(3)`
    B
    `1:2:3`
    C
    `1:4:9`
    D
    `1:8:27`
  • The ratio between area of Bohr's first three orbits of the hydrogen atom are

    A
    `1:2:3`
    B
    `1:4:9`
    C
    `1:8:27`
    D
    `1:16:81`
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    The ratio between area of Bohr's first three orbits of the hydrogen atom are

    According to Bohr's theory, the ratio of the times taken by the electron in a hydrogen atom to complete one revolution in orbits corresponding to ground and first excited states is

    The current in the first orbit of Bohr's hydrogen atom is

    According to Bohr's theory, the radius of the nth Bohr orbit of a hydrogen like atom of atomic number Z is proportional to