Respuesta :

The energy of the single photon of the light is 3.46 *10^-19 J calculated by the expression of Planck's-Einstein equation.

According to Planck - Einstein's equation, the energy of a photon is proportional to its frequency,

            E=h⋅ν

where E - the energy of the photon

           h - Planck's constant, equal to 6.626⋅10−34J s

           ν - the frequency of the photon

Now, notice that you are given the wavelength of the photon, λ. As you know, frequency and wavelength have an inverse relationship described by the equation

             λ⋅ν=c, where

This means that the relationship between energy and wavelength looks like this

         λ⋅ν=c

       ⇒ ν=c / λ

      E=h⋅ c / λ

Intense emission of line for a new element is observed at a wavelength  of 575nm.that is equals to 5.75*10^-7 m.

We have the expression,

Energy = Planck constant*speed of light/wavelength

here, wavelength is 5.75*10^-7 m,

          Planck's constant is 6.626*10^-34 J.s

          speed of the light is 3.0*10^8 m/s

putting all the values in the expression of energy,

            =(6.626*10^-34 J.s)*(3.0*10^8 m/s)/(5.75*10^-7 m)

            = 3.46 *10^-19 J

To learn more about Planck's-Einstein equation please visit:

https://brainly.com/question/28060145

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