Respuesta :

The order of the energy of the photons of given wave will be

= Ultraviolet waves > infrared waves > microwaves

[tex]E = hv[/tex]

where,

E = energy of photon

[tex]v[/tex] = frequency of the radiation

h = Planck's constant = [tex]6.63[/tex]×[tex]10[/tex]⁻³⁴ [tex]J s[/tex]

We have :

(a) Frequency of infrared waves = [tex]v[/tex]₁ = [tex]6.5[/tex]×[tex]10[/tex]¹³[tex]J s[/tex]

(b) Frequency of microwaves= [tex]v[/tex]₂ = [tex]9.8[/tex]×[tex]10[/tex]¹¹ [tex]J s[/tex]

(c) Frequency of ultraviolet waves = [tex]v[/tex]₃ = [tex]8[/tex]×[tex]10[/tex]¹⁵[tex]J s[/tex]

So, the decreasing order of the frequencies of the waves  will be :

[tex]v[/tex]₃ [tex]>[/tex][tex]v[/tex]₁[tex]> v[/tex]₂

As we can see from the formula that energy is directly proportional to the frequency of the wave.

[tex]E[/tex]∝[tex]v[/tex]

So, the order of the energy of the photons of given wave will be same as their order of frequencies:

[tex]E[/tex]₃> [tex]E[/tex]₁ >[tex]E[/tex]₂

= Ultraviolet waves > infrared waves > microwaves

Also the complete question is :

Rank the following photons in terms of decreasing energy:

(a) IR (v = 6.5 x 10¹³ s⁻¹)

(b) microwave (v = 9.8 x 10¹¹ s⁻¹)

(c) UV (v = 8.0 x 10¹⁵ s⁻¹)

To learn more about microwaves visit the link:

https://brainly.com/question/19811153

#SPJ4