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GUJCET · Physics · Atoms
Hydrogen atoms are excited from ground state to the state of principal quantum number 4. Then, the number of spectral lines observed will be _________ .
- A 5
- B 6
- C 3
- D 2
Answer & Solution
Correct Answer
(B) 6
Step-by-step Solution
Detailed explanation
(B) 6
The number of spectral lines
\(
\begin{aligned}
& =\frac{\left(n_{2}-n_{1}+1\right)\left(n_{2}-n_{1}\right)}{2} \\
& =\frac{(4-1+1)(4-1)}{2} \\
& =\frac{4(3)}{2} \\
& =6
\end{aligned}
\)
The number of spectral lines
\(
\begin{aligned}
& =\frac{\left(n_{2}-n_{1}+1\right)\left(n_{2}-n_{1}\right)}{2} \\
& =\frac{(4-1+1)(4-1)}{2} \\
& =\frac{4(3)}{2} \\
& =6
\end{aligned}
\)
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