What is the maximum number of emission lines obtained when the excited electron of a hydrogen atom in n=5 drops to the ground state?

Question

What is the maximum number of emission lines obtained when the excited electron of a hydrogen atom in n=5 drops to the ground state? (A) 10 (B) 5 (C) 12 (D) 15

Tardigrade Admin · Accepted Answer

Number of spectral lines obtained when an electron drops from

n t h

level to ground level

= \frac{n ( n - 1 )}{2}

∴

Number of emission lines obtained, when electron drops from

5 t h

level to ground state

= \frac{5 ( 5 - 1 )}{2} = \frac{5 \times 4}{2} = 10

Q. What is the maximum number of emission lines obtained when the excited electron of a hydrogen atom in n=5 drops to the ground state?

10

5

12

15

Number of spectral lines obtained when an electron drops from nth level to ground level =2n(n−1)​ ∴ Number of emission lines obtained, when electron drops from 5th level to ground state =25(5−1)​=25×4​=10

Q. What is the maximum number of emission lines obtained when the excited electron of a hydrogen atom in $n = 5$ drops to the ground state?

Number of spectral lines obtained when an electron drops from $n t h$ level to ground level $= \frac{n ( n - 1 )}{2}$
$∴$ Number of emission lines obtained, when electron drops from $5 t h$ level to ground state
$= \frac{5 ( 5 - 1 )}{2} = \frac{5 \times 4}{2} = 10$