A) \[800\overset{\text{o}}{\mathop{\text{A}}}\,\]
B) \[825\overset{\text{o}}{\mathop{\text{A}}}\,\]
C) \[975\overset{\text{o}}{\mathop{\text{A}}}\,\]
D) \[01025\overset{\text{o}}{\mathop{\text{A}}}\,\]
Correct Answer: C
Solution :
[c] Number of possible spectral lines emitted when an electron jumps back to ground state from nth orbit \[\frac{n\left( n-1 \right)}{2}\] Here,\[\frac{n\left( n-1 \right)}{2}=6\Rightarrow n=4\] Wavelength \[\lambda \] from transition from n = 1 to n = 4 is given by, \[\frac{1}{\lambda }=R\left( \frac{1}{1}-\frac{1}{{{4}^{2}}} \right)\Rightarrow \lambda =\frac{16}{15R}=975\overset{\text{o}}{\mathop{\text{A}}}\,\]
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