Question #198972

a) Calculate the distance travelled by an electron when it moves form 1st shell to 3rd shell of hydrogen atom.

b) Also calculate the amount of energy needed to send the electron from 1st to 3rd shell of hydrogen atom.

Expert's answer

Ans:-

Distance can be calculated by formula of radius-

a)

Formula of Bohr's radius when electron is in 1shell is given by-

Let it be denoted by

For hydrogen atom , first shell means that

Formula of Bohr's radius when electron is in 3rd shell is given by -

Let it is denoted by

Distance can be calculated as =

b)

Formula of energy is given by-

For , we get-

for , we get-

now

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