An electromagnetic radiation has an energy $14.4 \mathrm{keV}$. To which region of the electromagnetic…

An electromagnetic radiation has an energy $14.4 \mathrm{keV}$. To which region of the electromagnetic spectrum it belongs?
  1. Infrared
  2. Visible
  3. Ultraviolet
  4. X-ray

Solution

Given radiation has $14.4 \mathrm{keV}$ energy, so it is within the energy range for X-rays which is between $100 \mathrm{eV}$ to $100 \mathrm{keV}$.
The wavelength of given radiation,
$\begin{aligned}
\lambda & =\frac{h c}{E} \text { joule }=\frac{6.64 \times 10^{-34} \times 3 \times 10^8}{14.4 \times 10^3 \times 1.6 \times 10^{-19}} \text { volt } \\
& =0.86 Å
\end{aligned}$
X-rays have wavelength range between 0.1 A to $1 Å$.

Asked in: AP EAMCET 2018 (23 Apr Shift 1)

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