**Green light has a frequency of about 6.00 x 10^14 s-1 . What is the energy…**

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## Question “Green light has a frequency of about 6.00 x 10^14 s-1 . What is the energy…”

energy of a photon of green light?

4 sigfig

E=J

If you have time can you answer this one too??

Hospital X-ray generators emit X rays with wavelength of about 15.0

nanometers (), where 1 nm = 10^9 m. What is the energy of a photon

in an X ray?

Express answer in joules.

And please show me all the details on how you arrived to your

answers. Thank you very much!

## Answer

This concept is based upon the energy of a photon.

When their frequency is known, the Planck’s law calculates the energy of photons. If only the wavelength of the photons is known, it can also be calculated. First, the wave equation calculates the frequency. Then it is replaced in the Planck equation.

You can calculate the energy of a photon using Planck’s equation

Here

refers to the energy of photons

,

refers to Planck’s constant

, and

refers to the frequency of the photon photon

.

Wave equation provides the relationship between speed, frequency, and wavelength.

is the speed of light

and HTMLmedia_tag_10$ are the wavelengths of the photons. #media_tag_11$ represents the frequency.

**Part 1**

It is well known that the frequency media_tag_12$ is the green light. The

is the same.

Planck’s equation says:

.

**Part 2**

It is well-known that the wavelength of X-rays is

.

Since,

Therefore,

Planck’s equation says:

According to the wave equation

You can rewrite the equation as follows:

This frequency expression can be substituted in the Planck equation.

Substitute

to Planck’s constant

;

to

;

to

.

Ans Part 1

**Part 1**

Answer

is the energy of a photon with green light.

## Conclusion

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