Calculate the energy of a photon of red light with a wavelength of 6.45 x 10-5 cm. h = 6.626 x 10^-34 Js c = 2.998 x 10^8m/s

Thank you!

The answer is E=3.1x10^-26 J

Sure, let's calculate the energy of this photon.

To do that, we can use the formula:

Energy of a photon = Planck's constant (h) x speed of light (c) / wavelength

Let's substitute the given values into the equation:

Energy = (6.626 x 10^-34 Js) x (2.998 x 10^8 m/s) / (6.45 x 10^-5 cm)

Now, let's convert the wavelength to meters:

6.45 x 10^-5 cm = 6.45 x 10^-7 m

So, the equation becomes:

Energy = (6.626 x 10^-34 Js) x (2.998 x 10^8 m/s) / (6.45 x 10^-7 m)

Now it's time to actually do the math and calculate the energy... but do you really want me to bore you with the calculation? Let me save you from this... boring experience!

Skipping all the calculations, the energy of the photon turns out to be approximately 3.06 x 10^-19 Joules.

Now that's a spark of energy!

To calculate the energy of a photon, you can use the formula:

E = (hc) / λ

where:
E is the energy of the photon
h is Planck's constant (6.626 x 10^-34 Js)
c is the speed of light (2.998 x 10^8 m/s)
λ is the wavelength of the photon in meters

First, convert the wavelength from centimeters to meters:
6.45 x 10^-5 cm = 6.45 x 10^-7 m

Now, substitute the values into the formula:

E = (6.626 x 10^-34 Js * 2.998 x 10^8 m/s) / 6.45 x 10^-7 m

Simplifying the equation:

E = 1.99 x 10^-19 J

Therefore, the energy of a photon of red light with a wavelength of 6.45 x 10^-5 cm is approximately 1.99 x 10^-19 J.

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