Get 2 FREE Instant-Explanations on Filo with code FILOAPP

A hydrogen - like atom (described by the Bohr model) is observ

Question

A hydrogen - like atom (described by the Bohr model) is observed to emit six wavelength , originating from all possible transitions between $- 0.85 e V and - 0.544 e V$ (inclading bohr these values )
(a) Find the atomic number of the atom
(b) Calculate the smallest wavelength emitted in these transitions .
(Take $h c = 1240) e V - n m$ , ground state energy of hydrogen atom $= 13.6 e V)$

Views: 774 students

Found 8 tutors discussing this question

Charlotte Discussed

A hydrogen - like atom (described by the Bohr model) is observed to emit six wavelength , originating from all possible transitions between

- 0.85 e V and - 0.544 e V

(inclading bohr these values )
(a) Find the atomic number of the atom
(b) Calculate the smallest wavelength emitted in these transitions .
(Take

h c = 1240) e V - n m

, ground state energy of hydrogen atom

= 13.6 e V)

14 mins ago

Discuss this question LIVE

14 mins ago

Text solutionVerified

Answer: A::B::C::DSolution: If x is the diffrence in quantum number of the state that

^{(n + 1)} C_{2} = 6 \Rightarrow x = 3

Now we have

(- z^{2} \frac{13.6 e V}{n ^{2}} = - 0.85 e V

….(i)
and

(- z^{2} \frac{13.6 e V}{( n + 3 ) ^{2}} = - 0.544 e V

….(i)
Solving (i) and (ii) we get

n = 12 and z = 3

Smallest wavelength

λ

is given by

\frac{h c}{λ} = (0.85 - 0.544) e V

solving we get

λ = 4052 a m

Was this solution helpful?

150

Report

One destination to cover all your homework and assignment needs

Learn Practice Revision Succeed

Instant 1:1 help, 24x7

60, 000+ Expert tutors

Textbook solutions

Big idea maths, McGraw-Hill Education etc

Essay review

Get expert feedback on your essay

Schedule classes

High dosage tutoring from Dedicated 3 experts

Trusted by 4 million+ students

Stuck on the question or explanation?

Connect with our physics tutors online and get step by step solution of this question.

231 students are taking LIVE classes

Question Text	A hydrogen - like atom (described by the Bohr model) is observed to emit six wavelength , originating from all possible transitions between $- 0.85 e V and - 0.544 e V$ (inclading bohr these values ) (a) Find the atomic number of the atom (b) Calculate the smallest wavelength emitted in these transitions . (Take $h c = 1240) e V - n m$ , ground state energy of hydrogen atom $= 13.6 e V)$
Answer Type	Text solution:1
Upvotes	150