Consider the following energy levels of a hypothetical atomЕд -2.11 х 10-19Ез -7.01 х 10-19E, -1.05 х 10J18JJE-1.85 x 10-18(a) What is the wavelength of the photon needed to excite an electron from E1 to E4?x 10m(b) What is the energy (in joules) a photon must have in order to excite an electron from E2 to E3?x 10(c) When an electron drops from the E3 level to the E1 level, the atom is said to undergo emission.Calculate the wavelength of the photon emitted in this process.х 10

Question
Asked Oct 30, 2019
Consider the following energy levels of a hypothetical atom
Ед -2.11 х 10
-19
Ез -7.01 х 10-19
E, -1.05 х 10
J
18
J
J
E-1.85 x 10-18
(a) What is the wavelength of the photon needed to excite an electron from E1 to E4?
x 10
m
(b) What is the energy (in joules) a photon must have in order to excite an electron from E2 to E3?
x 10
(c) When an electron drops from the E3 level to the E1 level, the atom is said to undergo emission.
Calculate the wavelength of the photon emitted in this process.
х 10
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Consider the following energy levels of a hypothetical atom Ед -2.11 х 10 -19 Ез -7.01 х 10-19 E, -1.05 х 10 J 18 J J E-1.85 x 10-18 (a) What is the wavelength of the photon needed to excite an electron from E1 to E4? x 10 m (b) What is the energy (in joules) a photon must have in order to excite an electron from E2 to E3? x 10 (c) When an electron drops from the E3 level to the E1 level, the atom is said to undergo emission. Calculate the wavelength of the photon emitted in this process. х 10

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Expert Answer

Step 1

Given

The energies

E4-2.11 x 10-19 J
Eз -7.01 х 10-19J
E2-1.05x 10
-18J
E -1.85 х 10-18 J
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E4-2.11 x 10-19 J Eз -7.01 х 10-19J E2-1.05x 10 -18J E -1.85 х 10-18 J

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Step 2

a) To calculate the wavelength of the photon

hc
E=
E= -2.11x1019 J-.85x1015) J
1.63 10J
6.62X103J-sx2.99x10°m/s
1.63x101 J=
6.62x2.99x10
A=
1.63
=12.143x10m
=121.43nm
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hc E= E= -2.11x1019 J-.85x1015) J 1.63 10J 6.62X103J-sx2.99x10°m/s 1.63x101 J= 6.62x2.99x10 A= 1.63 =12.143x10m =121.43nm

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Step 3

b) The energy r...

E=E,-E2
-7.01x1019J1.05x1015 )J
-34.9x1020
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E=E,-E2 -7.01x1019J1.05x1015 )J -34.9x1020

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