Respuesta :
Answer:
The energy of the electromagnetic wave is 2.2 × 10⁻²⁰ J
D. is the correct option
Explanation:
The energy of an electromagnetic wave can be calculated from
[tex]E = h\nu[/tex]
Where [tex]h[/tex] is Planck's constant, ( [tex]h =[/tex] 6.626 × 10⁻³⁴ m²kg/s )
[tex]\nu[/tex] is the frequency of radiation
[tex]\nu[/tex] is also given by
[tex]\nu = \frac{c}{\lambda}[/tex]
where [tex]c[/tex] is the velocity of electromagnetic radiation (EMR) / speed of light
([tex]c =[/tex] 3.0 × 10⁸ m/s)
and [tex]\lambda[/tex] is the wavelength
Hence, we can write
[tex]E = h\nu[/tex]
[tex]E = \frac{hc}{\lambda}[/tex]
From the question, hc = 1.99 × 10⁻²⁵ J•m
Also, the wavelength, [tex]\lambda =[/tex] 9.0 × 10⁻⁶ m
Hence,
[tex]E = \frac{hc}{\lambda}[/tex] becomes
[tex]E = \frac{1.99 \times 10^{-25} }{9.0 \times 10^{-6} }[/tex]
∴ [tex]E = 2.2 \times 10^{-20} J[/tex]
Hence, the energy of the electromagnetic wave is 2.2 × 10⁻²⁰ J
