(i) The energy associated with first orbit in hydrogen atom is –2.17 * 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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Payal Gupta | Contributor-Level 10

9 months ago

(i) For an electron, the energies in the two orbits can be compared as:

E₁ / E₂ = (n₂ / n₁)² [Since E is inversely proportional to n²]

Given: n₁= 1, E₁= –2.17 * 10^-18 J atom^-1, n₂= 5

Therefore, (–2.17 * 10^-18 J atom^-1) / E₂ = (5 / 1)²= 25

=> E₂= (–2.17 * 10^-18 J atom^-1) / 25 = –8.77 x 10

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(i) The energy associated with first orbit in hydrogen atom is –2.17 * 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.