The equipment used for aviation communications emits high‑frequency radiowave energy with a wavelength of 0.250 km. What is the energy of exactly one photon of this radiowave radiation?

Respuesta :

Explanation:

Given that,

The wavelength of high‑frequency radio wave, [tex]\lambda=0.25\ km=250\ m[/tex]

We need to find the energy of exactly one photon of this radio wave radiation. It is given by :

[tex]E=\dfrac{nhc}{\lambda}[/tex]

Here, n = 1

[tex]E=\dfrac{6.63\times 10^{-34}\times 3\times 10^8}{250}\\\\E=7.95\times 10^{-28}\ J[/tex]

So, the energy of exactly one photon of this radio wave radiation is [tex]7.95\times 10^{-28}\ J[/tex].

The energy of exactly one photon of this radio wave radiation is [tex]7.95 \times 10^{-28}J[/tex].

Given that,

  • The equipment used for aviation communications emits high‑frequency radio wave energy with a wavelength of 0.250 km i.e. = 250 m.

Based on the above information, the calculation is as follows:

We know that

[tex]E = nhc \div \lambda\\\\= (6.63 \times 10^{-34} \times 3 \times 10^8) \div 250[/tex]

= [tex]7.95 \times 10^{-28}J[/tex]

Therefore we can conclude that the energy of exactly one photon of this radio wave radiation is [tex]7.95 \times 10^{-28}J[/tex].

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