How many different wavelengths may be observed in the spectrum from a hydrogen sample if the atoms are excited to the third excited state?

Question

How many different wavelengths may be observed in the spectrum from a hydrogen sample if the atoms are excited to the third excited state? (A) 3 (B) 4 (C) 5 (D) 6

Tardigrade Admin · Accepted Answer

The number of possible transitions is given by the following formula: N=(n (n - 1)/2) For the third excited state, n=4 ∴ N=(4 (4 - 1)/2)=6

Q. How many different wavelengths may be observed in the spectrum from a hydrogen sample if the atoms are excited to the third excited state?

$3$

$4$

$5$

$6$

The number of possible transitions is given by the following formula:
$N = \frac{n ( n - 1 )}{2}$
For the third excited state, $n = 4$
$∴ N = \frac{4 ( 4 - 1 )}{2} = 6$

Q. How many different wavelengths may be observed in the spectrum from a hydrogen sample if the atoms are excited to the third excited state?

3

4

5

6

The number of possible transitions is given by the following formula: N=2n(n−1)​ For the third excited state, n=4 ∴N=24(4−1)​=6

$3$

$4$

$5$

$6$

The number of possible transitions is given by the following formula:
$N = \frac{n ( n - 1 )}{2}$
For the third excited state, $n = 4$
$∴ N = \frac{4 ( 4 - 1 )}{2} = 6$