The radius of the n = 1 Bohr orbit in the hydrogen atom is 0.053 nm.What is the radius of the n = 5 Bohr orbit?
A)5(0.053)nm
B)25(0.053)nm
C)0.053 nm
D)(1/5)(0.053)nm
E)(1/25)(0.053)nm

Question

Quizplus · Accepted Answer

The radius of the Bohr orbit is given by the formula: 
r = (n^2h^2)/(4π^2me^2)
where n is the principal quantum number, h is Planck's constant, m is the mass of the electron, and e is the charge of the electron. 
For n = 1, r = 0.053 nm. 
To find the radius for n = 5, we substitute n = 5 into the formula: 
r = (5^2h^2)/(4π^2me^2) = 25(0.053) nm
Therefore, the best choice is B, which represents the correct calculation.

The Radius of the N = 1 Bohr Orbit in the Hydrogen