Achieve HW #13

[Shannon Clark 1F]

The E.coli bacterium is about 2.6 μm long. Suppose you want to study it using photons of that wavelength or electrons having that de Broglie wavelength.

What is the energy E(photon) of the photon?

Where do I start with this problem? Do I use wavelength=h/p??? if so where do these values fit in?

[Nathaniel John 2E]

Hello! For this question you would just need to use the E=hc/(wavelength) formula. This is because it involves the energy of a photon, which has no resting mass. This calculation would provide the energy of a photon.

Hope this helps!

[Maia V 1L]

You'd use c=wavelength x frequency to find the frequency first, then you can plug the frequency into E=hv to determine the energy.

[Grace Chang 1E]

Hello!

For the energy of the photon, you use the equation: E=(frequency)(Planck's constant). Since they say that you're using a wavelength of 2.6 μm, use this information + the equation c=(wavelength)(frequency) to find the frequency for the first equation mentioned.

For the energy of the electron, you use the equation: E=1/2mv^2

[805812306]

If you are trying to find the energy of the photon corresponding to this wavelength, you would not need to use the De Broglie equation. I would do the following:

Using the speed of light = wavelength X frequency equation, determine the frequency of a photon moving at this wavelength. Then you can plug this value into the energy of a photon = Planck's Constant X frequency equation to determine this value.

I do not believe you can use the De Broglie equation because photons do not have mass, as far as we know.

[erud]

Hi! you would use c=f(lambda), then e=hf