Calculate the wavelength of radiation emitted when an electron falls from the n = 5 to n = 2 state in hydrogen. Is this light in the visible region of the electromagnetic spectrum? If it is, estimate its color. If it is not, what portion of the electromagnetic spectrum does it fall in?

Solution:

Given:

initial orbit of electron=

final orbit of electron=

to find wavelength we use Rydberg equation:

   1/λ

where R is Rydberg constant and it's value is

inserting all the values in formula

 1/λ

  λ

for it's region and color look at given attached pictures

we're given that v₀ = 0 and a = 5.4 m/s². therefore, since v = at + v₀ for constant acceleration the equation for velocity is

after 28s,

m/s

which i would round to 150 m/s as my final answer

the answer is 100. i just did this lesson and got a 100% on it. : )

-fishtank