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The radius of first Bohr orbit of hydrog...

The radius of first Bohr orbit of hydrogen atom is `0.529 Å`. Calculate the radii of (i) the third orbit of `He^+` ion and (ii) the second orbit of `Li^(2+)` ion.

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To solve the problem of calculating the radii of the third orbit of the He⁺ ion and the second orbit of the Li²⁺ ion using the Bohr model, we will follow these steps: ### Step-by-Step Solution 1. **Understanding the Formula**: The radius of the nth orbit in a hydrogen-like atom is given by the formula: \[ r_n = \frac{R_0 n^2}{Z} ...
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Knowledge Check

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

    A
    0.053 nm
    B
    `(0.053)/(4)nm`
    C
    `0.053 xx4nm`
    D
    `0.053 xx20nm`
  • The radius of the first Bohr orbit of hydrogen atom is 0.529Å . The radius of the third orbit of H will be:

    A
    `8.46Å`
    B
    `0.705Å`
    C
    `1.59Å`
    D
    `4.76Å`
  • The radius of the first Bohr orbit of hydrogen atom is 0.59 Å . The radius of the third orbit of He^(+) will be

    A
    `8.46 Å`
    B
    `0.705 Å`
    C
    `1.59 Å`
    D
    `2.38 Å`
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