ANY HELP IS MUCH APPRECIATED, I ALWAYS RATE, THANKS!!! . A proton is sqeezed bet

Question

ANY HELP IS MUCH APPRECIATED, I ALWAYS RATE, THANKS!!! .
A proton is sqeezed between two confining walls, one of whichcan be moved inwards. At what separation of the walls will thezero-point energy of the proton be equal to its rest mass energy,mpc2? Express your answer in terms of theparameter c = h/mpc , the "comptonwavelength" of the proton. . ANY HELP IS MUCH APPRECIATED, I ALWAYS RATE, THANKS!!! .
A proton is sqeezed between two confining walls, one of whichcan be moved inwards. At what separation of the walls will thezero-point energy of the proton be equal to its rest mass energy,mpc2? Express your answer in terms of theparameter c = h/mpc , the "comptonwavelength" of the proton. .

Explanation / Answer

Zero point energy of photon is E0 = h2 / 8mL2 To calculate at what length of sepertionE0 = mpc2 thefallowing calculations will apply mpc2 = h2 /8mL2 L = (h2 /mpc2 )1/2           = h / m1/2p c           = ( 1/ m1/2p )* (h /c)              Since c = h/mpc            =( 1/ m1/2p )*cmp            = cm1/2p Thus, at cm1/2p thephoton has its rest mass energy. Thus, at cm1/2p thephoton has its rest mass energy.

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