## How does E = hv lead to Einsteins equation E=MC2?

Ben Rolnik 1D
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Joined: Fri Jun 23, 2017 11:39 am

### How does E = hv lead to Einsteins equation E=MC2?

I'm really curious about the history of the Einstein equation... what's the difference between E = HV and the famous equation E = mc*2?

JD Malana
Posts: 21
Joined: Wed Nov 16, 2016 3:02 am

### Re: How does E = hv lead to Einsteins equation E=MC2?

I think the equations E=hv (mu) and E=mc2 may be solving for two different energies.
E=hv refers to the energy of a photon with respect to Planck's and frequency
E=mc2 uses the mass of an object and the speed of light.
The first relates the energy of a photon (which doesn't have mass) while the second relates the energy of an object with mass.

Magdalena Palavecino 1A
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Joined: Fri Sep 29, 2017 7:04 am

### Re: How does E = hv lead to Einsteins equation E=MC2?

Can someone explain the theory behind these equations? I don't understand what the photon energy is used to represent or what chemistry theories are represented.

Chem_Mod
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### Re: How does E = hv lead to Einsteins equation E=MC2?

Let's make two energies equal to each other:

mc^2 = hv
mc^2 = hc/lambda
speed of light cancels out
mc = h/lambda
lambda = h/mc This is De Brogli equation. So, overall, E=hv refers to light as a wave, while E=mc^2 refers to light as particles. Together they represent the wave-particle duality theory.

Sean Monji 2B
Posts: 66
Joined: Fri Sep 29, 2017 7:06 am

### Re: How does E = hv lead to Einsteins equation E=MC2?

Magdalena Palavecino wrote:Can someone explain the theory behind these equations? I don't understand what the photon energy is used to represent or what chemistry theories are represented.

E = hv or better seen on the computer as hf (Plancks equation) shows that if the frequency of a wave (light) increases, the amount of energy it has also increases. Through data and calculation, Planck found the relationship to be by a factor of h, 6.626x10^-34z.
Through this, we can find the energy of all waves, including electrons, which leads to orbitals and energy states in chemical bonding.
E =mc^2 states that all mass has energy by a factor of the speed of light squared, and all energy has a mass. Energy is kg(m/s)^2, thus energy is the mass times speed squared of an object. To my understanding, this is the maximum energy a mass can be converted to, and since no mass can achieve speeds beyond the speed of light, that is the maximum energy a given mass can have.
I hope that helps and isn’t too confusing