Ignoring sign. which transition is associated with the greatest energy change?

For a hydrogen-like atom, classify these electron transitions by whether they result in the absorption or emission of light. Absorption Emission n=2 to n=1 n- 3 to n-5 n 3 to n#2 n= 1 to n-3 gnoring sign, which transition is associated with the greatest energy change? O O n-3 to n-2 n-2 to n-1 n=1 to n-3

Answer

1) when there is transition from higher state to lower state, it involves emission when there is transition from lower state to higher state, it involves absorption So, Absorption are: n=3 to n=5 n=1 to n=3 emission are: n=2 to n=1 n=3 to n=2 2) a) Here photon will be captured and it will excite the atom 1/lambda = R* (1/nf^2 – 1/ni^2) R is Rydberg constant. R = 1.097*10^7 1/lambda = – R* (1/nf^2 – 1/ni^2) 1/lambda = – 1.097*10^7* (1/5^2 – 1/3^2) lambda = 1.29*10^-6 m lambda = 1290 nm use: E = h*c/lambda =(6.626*10^-34 J.s)*(3.0*10^8 m/s)/(1.29*10^-6 m) = 1.541*10^-19 J b) Here photon will be emitted 1/lambda = R* (1/nf^2 – 1/ni^2) R is Rydberg constant. R = 1.097*10^7 1/lambda = R* (1/nf^2 – 1/ni^2) 1/lambda = 1.097*10^7* (1/2^2 – 1/3^2) lambda = 6.563*10^-7 m lambda = 656 nm use: E = h*c/lambda =(6.626*10^-34 J.s)*(3.0*10^8 m/s)/(6.563*10^-7 m) = 3.029*10^-19 J Since this is emitted energy, sign will be negative So, E = 3.029*10^-19 J C) Here photon will be emitted 1/lambda = R* (1/nf^2 – 1/ni^2) R is Rydberg constant. R = 1.097*10^7 1/lambda = R* (1/nf^2 – 1/ni^2) 1/lambda = 1.097*10^7* (1/1^2 – 1/2^2) lambda = 1.215*10^-7 m lambda = 122 nm use: E = h*c/lambda =(6.626*10^-34 J.s)*(3.0*10^8 m/s)/(1.215*10^-7 m) = 1.635*10^-18 J Since this is emitted energy, sign will be negative So, E = 1.635*10^-18 J D) Here photon will be captured and it will excite the atom 1/lambda = R* (1/nf^2 – 1/ni^2) R is Rydberg constant. R = 1.097*10^7 1/lambda = – R* (1/nf^2 – 1/ni^2) 1/lambda = – 1.097*10^7* (1/3^2 – 1/1^2) lambda = 1.032*10^-7 m lambda = 103 nm use: E = h*c/lambda =(6.626*10^-34 J.s)*(3.0*10^8 m/s)/(1.032*10^-7 m) = 1.926*10^-18 J Clearly energy is largest for d

Answer: n=1 to n=3

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