The following four problems are about the following situation: A photon with the

Question

The following four problems are about the following situation: A photon with the given energy/frequency/wavelength is emitted the Bohr Hydrogen atom. You determine what transition an electron made to emit that photon.

1)  E = 10.2 eV.

a) n=2 to n=1

b) n=3 to n=1

c) n=4 to n=1

d) n=5 to n=1

e) n=6 to n=1

2)  E = 2.04 x 10-18 J

a) n=2 to n=1

b) n=3 to n=1

c) n=4 to n=1

d) n=5 to n=1

e) n=6 to n=1

3)  l = 656 nm.

a) n=3 to n=2

b) n=4 to n=2

c) n=5 to n=2

d) n=6 to n=2

e) n=7 to n=2

4)  f = 3.14 x 1014 Hz

a) n=4 to n=3

b) n=5 to n=3

c) n=6 to n=3

d) n=7 to n=3

e) n=8 to n=3

Explanation / Answer

a) E = 10.2 eV

10.2 = -13.6 ( 1/ ni^2 - 1/1)

n= 2

therefore correct option is (a)

b) 2.04 x 10-18= -2.18 x 10^-18 ( 1/ ni^2  - 1/1)

n = 3

correct option is b) n=3 to n=1

c) 1/ l = R ( 1/n ^2- 1/4)

1/ 656 x 10^-6 = 1.097 x 107 ( 1/ n^2 - 1/4)

correct option= a) n=3 to n=2

d) f = 3.14 x 10^14 Hz

f= c/ lambda

lamda = 0.95 nm

1/0.95 x 10^-6 = 1.097 x 107 ( 1/ n^2 - 1/9)

solving for n

a)  n=4 to n=3

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