Question

Wavenumber for a radiation having $5800 \, \mathring{A}$ wavelength is $x \times 10 \, \text{cm}^{-1}$. The value of $x$ is _________

Answer 1

Correct Answer: 1724

The formula for wavenumber is provided:

$$ \bar{v} = \frac{1}{\lambda} \Rightarrow \frac{1}{5800 \times 10^{-8}} \, \text{cm}^{-1} $$

The equation is simplified as follows:

$$ \Rightarrow \frac{10^8}{5800} \Rightarrow \frac{10^6}{58} $$

$$ \Rightarrow \frac{100000}{58} \times 10 $$

$$ \Rightarrow 1724.13 \times 10 $$

$$ \Rightarrow 1724 $$

Therefore, the wavenumber is 1724 cm^-1.