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[SOLVED] recoil energy
Calculate the recoil energy and velocity of a hydrogen atom in a transition from
the state « = 4 to the state AT = 1, in which a photon is emitted.
E=-13.5/n^2
E=mc^2/sqrt(1-v^2/c^2)
|E4-E1|=13.6-13.6/16 eV = 12.75 eV
Invoking the total energy,
Before emission
mc^2 = E recoil + |E4-E1|=> E recoil = 1.50 *10^-10 J
I couldn't get the correct answer. I wonder what is wrong? am I understanding the meaning of recoil energy wrongly?
Homework Statement
Calculate the recoil energy and velocity of a hydrogen atom in a transition from
the state « = 4 to the state AT = 1, in which a photon is emitted.
Homework Equations
E=-13.5/n^2
E=mc^2/sqrt(1-v^2/c^2)
The Attempt at a Solution
|E4-E1|=13.6-13.6/16 eV = 12.75 eV
Invoking the total energy,
Before emission
mc^2 = E recoil + |E4-E1|=> E recoil = 1.50 *10^-10 J
I couldn't get the correct answer. I wonder what is wrong? am I understanding the meaning of recoil energy wrongly?