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Home » (i) The energy associated with the first orbit in the hydrogen atom is . What is the energy associated with the fifth orbit? (ii) Calculate the radius of Bohr’s fifth orbit for the hydrogen atom.
(i) The energy associated with the first orbit in the hydrogen atom is -2.18\times10^{-18 }J atom^{-1}. What is the energy associated with the fifth orbit? (ii) Calculate the radius of Bohr’s fifth orbit for the hydrogen atom.
CBSE | Chemistry | Class 11 | NCERT | Structure of Atom
(i) The energy associated with the first orbit in the hydrogen atom is -2.18\times10^{-18 }J atom^{-1}. What is the energy associated with the fifth orbit? (ii) Calculate the radius of Bohr’s fifth orbit for the hydrogen atom.

(i) Energy associated with the fifth orbit of hydrogen atom is calculated as:

E_{5}=\frac{-\left(2.18 \times 10^{-18}\right)}{(5)^{2}}=\frac{-\left(2.18 \times 10^{-18}\right)}{25}=-8.72 \times 10^{-20} \text { Jatom }^{-1}

(ii) Radius of Bohr’s n th orbit for hydrogen atom is given by, rn = (0.0529 nm) n 2

For, n = 5

r_5=1.3225nm

i

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