MHT CET · Chemistry · Structure of Atom
The wavelength of a spectral line of caesium is \(460 \mathrm{~nm}\). What is the frequency of spectral line?
- A \(4.5 \times 10^8 \mathrm{~Hz}\)
- B \(6.5 \times 10^{14} \mathrm{~Hz}\)
- C \(3 \times 10^9 \mathrm{~Hz}\)
- D \(5.6 \times 10^{14}\)
Answer & Solution
Correct Answer
(B) \(6.5 \times 10^{14} \mathrm{~Hz}\)
Step-by-step Solution
Detailed explanation
\(
\begin{aligned}
& v=\frac{\mathrm{c}}{\lambda}\left(1 \mathrm{~nm}=10^{-9} \mathrm{~m}\right) \\
& =\frac{3 \times 10^8}{460 \times 10^{-9}} \\
& =6.5 \times 10^{14} \mathrm{~Hz}
\end{aligned}
\)
\begin{aligned}
& v=\frac{\mathrm{c}}{\lambda}\left(1 \mathrm{~nm}=10^{-9} \mathrm{~m}\right) \\
& =\frac{3 \times 10^8}{460 \times 10^{-9}} \\
& =6.5 \times 10^{14} \mathrm{~Hz}
\end{aligned}
\)
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