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Question: Answered & Verified by Expert
If the electron in a hydrogen atom jumps from an orbit with level $\mathrm{n}_1=2$ to an orbit with level $\mathrm{n}_2=1$ the emitted radiation has a wavelength given by
PhysicsAtomic PhysicsWBJEEWBJEE 2009
Options:
  • A $\lambda=5 / 3 \mathrm{R}$
  • B $\lambda=4 / 3 \mathrm{R}$
  • C $\lambda=\mathrm{R} / 4$
  • D $\lambda=3 \mathrm{R} / 4$
Solution:
1510 Upvotes Verified Answer
The correct answer is: $\lambda=4 / 3 \mathrm{R}$
$\frac{1}{\lambda}=R\left(\frac{1}{n_1^2}-\frac{1}{n_2^2}\right)=R\left(\frac{1}{1^2}-\frac{1}{2^2}\right)=\frac{3 R}{4}$
$\Rightarrow \lambda=\frac{4}{3 R}$

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