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X different wavelengths may be observed in the spectrum from a hydrogen sample if the atoms are exited to states with principal quantum number n=6 ?  The value of X is__________.
 

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No of special lines of n^{th} orbit   = X= \frac{n\left ( n-1 \right )}{2}\\

                                                          = \frac{6\left ( 6-1 \right )}{2}\\

                                                    X= 15       

 

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