4. The following transitions in the hydrogen atom invalve emitting energy as lig
ID: 1041813 • Letter: 4
Question
4. The following transitions in the hydrogen atom invalve emitting energy as light. [Where ni and m or n2 are the two different Principle quantum numbers.] Rank them in order of increasing energy, greatest energy last. List them as 1 through 6 (greatest energy). [o infinity & 0 (zero S. For the hydrogen atom, the transitions from n X 2 occur in the visible spectrum you would expect transitions each of the groups of t microwave, radio, or gamma). Hint: greater or lesser energy than visible light? . Identify where ransitions to occur (X-ray, visible, ultraviolet, infrared, a) Transitions from n xn 3 mostly occur in therange b) Transitions from n Xn -1 mostly occur in the range. 6: Using the information from problem #3 and E hv-hc /A, where v-frequency (wavelengths / second), - wavelength (meter/wavelength) and h Planck's constant-6.62607 x 1034J s, calculate the wave length of the emitted light due to the transition from n = 4 1. Lambda (A) 7. Give an orbital diagram for all the electrons in each of the atoms listed below. The first one is done inExplanation / Answer
4.
using,
dE = energy = -2.18 x 10^-18[1/nf^2 - 1/ni^2)
a) ni = 3 to nf = 2
dE = -2.18 x 10^-18[1/2^2 - 1/3^2]
= -3.03 x 10^-19 J
b) ni = 5 to nf = 2
dE = -2.18 x 10^-18[1/2^2 - 1/5^2]
= -4.6 x 10^-19 J
c) ni = infinity to nf = 5
dE = -2.18 x 10^-18[1/5^2]
= -8.72 x 10^-20 J
d) ni = 2 to nf = 1
dE = -2.18 x 10^-18[1/1^2 - 1/2^2]
= -1.09 x 10^-18 J
e) ni = 7 to nf = 2
dE = -2.18 x 10^-18[1/2^2 - 1/7^2]
= 5.0 x 10^-19 J
f) ni = 4 to nf = 1
dE = -2.18 x 10^-18[1/1^2 - 1/4^2]
= -2.04 x 10^-18 J
So, the order of energy in increasing order for transitions would be,
c) < a) < b) < e) < d) < f)
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5.
for hydrogen atom
transition n = X to n = 3 mostly occur in the Infrared region of electromagnetic spectrum
transition n = X to n = 1 mostly occur in the Ultraviolet region of electromagnetic spectrum
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