Question

The energy associated with first Orbit in hydrogen atom is -2.18 × 10^-18 joule per atom what is the energy associated with fifth Orbit.
Calculate the radius of bohr's fifth orbit.
Class 11
Chapter 2

Answer 1

Hello Kishan
The energy of nth orbit for any atom is related to principal quantum number of an element as, E ∝ Z²/n²
in case of Hydrogen Z=1
so,E ∝1/n²
Let E1 be energy of 1st orbit and E5 be of 5th orbit.Then
so,E1/E5=5²/1²
or,E5=25 x E1
or,E5=25 x -2.18 × 10^-18
or,E5=-5.45×10^-17 Joule/atom
Hope it Helps.