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Q.

What is the lowest energy of the spectral line emitted by the hydrogen atom in the Lyman series?
(h = Planck constant, c = Velocity of light,R = Rydberg constant)

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a

5hcR36

 

b

4hcR3

 

c

3hcR4

 

d

7hcR4

 

answer is C.

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Detailed Solution

Lowest energy is emitted when n2=n1+1 

Thus in Lyman series 2 → 1 will have least energy

\bar v = \frac{1}{\lambda } = {R_H}\left( {\frac{1}{{{1^2}}} - \frac{1}{{{2^2}}}} \right) = \frac{{3{R_H}}}{4}\
E = hc\bar v\

                                                                                    E=3hcRH4

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