Answer:
4.1 * 10^-22 J
The wave belongs to the infra red portion of the electromagnetic spectrum.
Explanation:
From the formula;
E = hc/λ
We know that;
h= plank's constant = 6.6 * 10^-34 Js
c= speed of light = 3 * 10^8 m/s
λ = wavelength of the wave = 4.80 x 10^5 nm or 4.80 x 10^-4 m
Hence;
E= 6.6 * 10^-34 * 3 * 10^8/ 4.80 x 10^-4
E= 4.1 * 10^-22 J
The wave belongs to the infra red portion of the electromagnetic spectrum.
The energy of the wave is 4.14 × 10⁻²² J
The radiation is an infrared radiation because its wavelength is within the infrared range
From the question,
We are to determine the energy of the wave that has a wavelength of 4.80 × 10⁵ nm.
From the formula
[tex]E = h\nu[/tex]
Where E is the energy
h is Planck's constant (h=6.626 × 10⁻³⁴ Js)
and [tex]\nu[/tex] is the frequency
But frequency, [tex]\nu[/tex] is given by
[tex]\nu =\frac{c}{\lambda}[/tex]
Where c is the speed of light (c = 3.0 × 10⁸ m/s)
and λ is the wavelength
Then, we can write that
[tex]E =\frac{hc}{\lambda}[/tex]
From the question
λ = 4.80 × 10⁵ nm = 4.80 × 10⁵ × 10⁻⁹ m
λ = 4.80 × 10⁻⁴ m
∴ Energy of the wave is
[tex]E = \frac{6.626 \times 10^{-34} \times 3.0 \times 10^{8} }{4.80 \times 10^{-4} }[/tex]
[tex]E = \frac{19.878 \times 10^{-26} }{4.80 \times 10^{-4} }[/tex]
[tex]E = 4.14125 \times 10^{-22} \ J[/tex]
E ≅ 4.14 × 10⁻²² J
Hence, the energy of the wave is 4.14 × 10⁻²² J
The radiation is an infrared radiation because its wavelength is within the infrared range
Learn more here: https://brainly.com/question/18027835
