Particle Collision: Calculate Photon Wavelength

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In the discussion, a particle collision involving a stationary π° meson is analyzed, leading to the decay into two gamma ray photons. The rest mass of the meson is given as 135 MeV/c². To calculate the wavelength of each photon, the energy of the meson is determined using E = mc², yielding Eπ = 135 MeV. The relationship between energy and wavelength is established through the equations E = hf and E = hc/λ. The next step involves using these equations to find the wavelength of the resulting photons.
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Homework Statement


The results of particle collisions are observed using particle detectors. Sometimes the products of these collisions are themselves unstable and decay to give further particles; the products of decay can be photons.

In one collision, a stationary \pi^\circ meson is produced which then decays to give two gamma ray photons. The rest mass of the meson is 135 \ MeV/c^2.

\pi ^\circ \rightarrow \beta + \beta​

Calculate the wavelength of each photon.

Homework Equations


E = hf = \frac{hc}{\lambda}

The Attempt at a Solution


How can I find E? I can carry on from that point but I don't know which equation to use to find E?
 
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The energy of the stationary meson is calculated using E = mc2

Epi = mpi*c2 = 135 MeV / c2 * c2 = 135 MeV
 
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The book claims the answer is that all the magnitudes are the same because "the gravitational force on the penguin is the same". I'm having trouble understanding this. I thought the buoyant force was equal to the weight of the fluid displaced. Weight depends on mass which depends on density. Therefore, due to the differing densities the buoyant force will be different in each case? Is this incorrect?

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