Atoms And Nuclei Question 110

Question: An electron jumps from 5th orbit to 4th orbit of hydrogen atom. Taking the Rydberg constant as $ 10^{7} $ per metre. What will be the frequency of radiation emitted [Pb. PMT 2001]

Options:

A) $ 6.75\times 10^{12},Hz $

B) $ 6.75\times 10^{14},Hz $

C) $ 6.75\times 10^{13},Hz $

D) None of these

Show Answer

Answer:

Correct Answer: C

Solution:

By using $ \nu =RC,[ \frac{1}{n_{1}^{2}}-\frac{1}{n_{2}^{2}} ] $
$ \Rightarrow \nu =10^{7}\times (3\times 10^{8}),[ \frac{1}{4^{2}}-\frac{1}{5^{2}} ] $ = 6.75 ´ 1013 Hz



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