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(i) The energy associated with the first orbit in the hydrogen atom is –2.18 × 10–18 J atom–1. What is the energy associated with the fifth orbit?

(ii) Calculate the radius of Bohr’s fifth orbit for hydrogen atom.

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(i) Energy associated with the fifth orbit of hydrogen atom is calculated as: E5 = –8.72 × 10–20 J (ii) Radius of Bohr’s nth orbit for hydrogen atom is given by, rn = (0.0529 nm) n2 For, n = 5 r5 = (0.0529 nm) (5)2 r5 = 1.3225 nm
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(i) Energy associated with the fifth orbit of hydrogen atom is calculated as:

E5 = –8.72 × 10–20 J

(ii) Radius of Bohr’s nth orbit for hydrogen atom is given by,

rn = (0.0529 nm) n2

For,

n = 5

r5 = (0.0529 nm) (5)2

r5 = 1.3225 nm

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