In a hydrogen sample, if the atoms are excited to states with principal quantum number 20 , then the number of different wavelengths which may be observed in the spectrum is

Question

In a hydrogen sample, if the atoms are excited to states with principal quantum number 20 , then the number of different wavelengths which may be observed in the spectrum is (A) 100 (B) 140 (C) 190 (D) 230

Tardigrade Admin · Accepted Answer

When atom are excited from ground state to excited state with n=20, then number of spectral line possible are =(n(n-1)/2)[ where, n= principal quantum number ] =(20(20-1)/2)=190

Q. In a hydrogen sample, if the atoms are excited to states with principal quantum number $20$ , then the number of different wavelengths which may be observed in the spectrum is

100

140

190

230

When atom are excited from ground state to excited state with $n = 20$ , then number of spectral line possible are
$= \frac{n ( n - 1 )}{2} [$ where, $n =$ principal quantum number $]$
$= \frac{20 ( 20 - 1 )}{2} = 190$

Q. In a hydrogen sample, if the atoms are excited to states with principal quantum number 20 , then the number of different wavelengths which may be observed in the spectrum is

100

140

190

230

When atom are excited from ground state to excited state with n=20, then number of spectral line possible are =2n(n−1)​[ where, n= principal quantum number ] =220(20−1)​=190

Q. In a hydrogen sample, if the atoms are excited to states with principal quantum number $20$ , then the number of different wavelengths which may be observed in the spectrum is

When atom are excited from ground state to excited state with $n = 20$ , then number of spectral line possible are
$= \frac{n ( n - 1 )}{2} [$ where, $n =$ principal quantum number $]$
$= \frac{20 ( 20 - 1 )}{2} = 190$