energy of a photon

[Brandon Gruender 3F]

Question #25 asks

The E Coli bacterium is about 2.4 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?

How do I solve this?

[Hayden Lee 1C]

Hi!

Since the energy of a photon is equal to its frequency multiplied by Planck's constant, we can rewrite the equation (c = wavelength * frequency) to solve for frequency in terms of wavelength. We can then replace frequency in the E = hv equation with the term from the rewritten (c = wavelength * frequency) equation and solve for the energy. I hope this helps!

[Edwin Liang 1I]

Hello,

You would use the equations E = HV and c= λv. Convert the 2.4 μm to meters and insert that into c= λv for λ. Isolate for v, then use that to solve the E = HV equation

[IshanModiDis2L]

You would first start off by using the equation c= wavelength*frequency. you convert 2.4 μm to meters using unit analysis into meters and then solve for frequency. Once calculated, you would then plug your frequency value into E=HV, where h is represented by Plank's constant and V is the frequency and get your value for energy.

[Elizabeth Kim 2K]

Hi! First, you would use the equation c = (lambda)(v) to solve for frequency by converting the wavelength of 2.4 μm to meters and rearranging the equation to solve for v. Then, you use the equation E = hv to solve for the energy of the photon by multiplying Planck's constant (h) and the frequency (v) value you calculated in the previous step. Hope this helps!

[Meia Schram 1J]

Hey,

So you would want to start off by converting the 2.4 micromolar to meters. Next I would change the c= lambda/v equation to isolate the v so v= lambda/c. From these we can solve for v. After solving for v you want to put your value into E=hv and there you go. Hope this helps!

[Ashley Presnell 1C]

Knowing the wavelength means using the equations we have, c=lambda(v) and E=hv we could calculate first v to plug into the second equation to then solve for energy, knowing the inverse relationship of wavelength and frequency as well as that Energy is equal to planck's constant times v.

[Abby 2B]

hi, to find the energy of the photon, you use E = hc/lambda. if you go further in the problem, you used lambda = h/mv to find the velocity, and then use E = 1/2mv^2 to find the energy of the electron.