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Calculate the radius of the first Bohr o...

Calculate the radius of the first Bohr orbit in the hydrogen atom. Hence calculate the radius of the second orbit.

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To calculate the radius of the first and second Bohr orbits in a hydrogen atom, we will use the formula for the radius of the nth orbit: \[ r_n = r_0 n^2 \] where \( r_0 \) is the radius of the first orbit and \( n \) is the principal quantum number (1 for the first orbit, 2 for the second orbit). ### Step 1: Calculate \( r_0 \) ...
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Knowledge Check

  • The radius of second Bohr's orbit is

    A
    `0.053 nm`
    B
    `(0.053)/(4)nm`
    C
    `0.053 xx 4 nm`
    D
    `0.053 xx 20 nm`

  • The radius of 5^(@) Bohr orbit in hydrogen atom is

    A
    `5r_(0)`
    B
    `(r_(0)) /( 5)`
    C
    ` 25r_(0)`
    D
    `(r_(0))/(25)`

  • As per Bohr atom model if the radius of the first orbit in an hydrogen atom is to, then the radius of the third orbit is.

    A
    `(r_(0))/( 9)`
    B
    `(r_(0))/(3)`
    C
    `3r_(0)`
    D
    `9r_(0)`

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    The radius of the first Bohr orbit of hydrogen atom is r. The radius of the 3rd orbit would be

    The radius of second Bohr’s orbit of Hydrogen atom is:

    The radius of the first Bohr orbit of hydrogen atom is 0.529Å . The radius of the third orbit of H will be:

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