Question

Electromagnetic radiation has an energy of $13.2keV$. Then, the radiation belongs to the region of

• A. Visible light
• B. Ultraviolet
• C. Infrared
• D. $X$- rays

Answer 1

The correct option is D

$X$- rays

Step 1. Given data

The energy of electromagnetic radiation is $E=13.2keV=13.2\times {10}^{3}eV$

Step 2. Calculation

We know that de-Broglie wavelength in angstrom is given by $\lambda =\frac{12400}{E\left(ineV\right)}$

Where $\lambda$ is the wavelength of electromagnetic radiation

$E$is the energy of electromagnetic radiation

Now,

$$\begin{gathered} \lambda =\frac{12400}{13.2\times {10}^3} \\ =0.939A° \\ \cong 1A° \end{gathered}$$

Therefore, electromagnetic radiation has an energy of $13.2keV$ belongs to the X-ray region of the electromagnetic spectrum.

Hence, The correct option is (D)