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15) (a) If a hydrogen atom makes a transition from the n = 6 state to the n =5 s

ID: 1679489 • Letter: 1

Question

15) (a) If a hydrogen atom makes a transition from then = 6 state to the n =5 state, determine the wavelength of thephoton created in the process.
nm

(b) Assuming that the atom was initially at rest, determine therecoil speed of the hydrogen atom when it emits thisphoton.
m/s
nm

(b) Assuming that the atom was initially at rest, determine therecoil speed of the hydrogen atom when it emits thisphoton.
m/s

Explanation / Answer

a) we have : (1/) = R(H)*(1/n1^2 - 1/n2^2) R(H) = 1.0974x10^7 m-1 => (1/) = 134126.67 => = 7.4556x10^-6 m = 7455.6 nm b) Conservation of momentum : mV = h/ => V = h/(m) = 0.0532 m/s

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