The following four problems are about the following situation: A transition for

Question

The following four problems are about the following situation: A transition for an electron in the Bohr Hydrogen atom will be given. You determine what energy/frequency/wavelength photon is emitted.

1)  n=3 to n=1

8.1 eV

9.1 eV

10.1 eV

11.1 eV

12.1 eV

2)  n=6 to n=1

1.12 x 10-18 J

2.12 x 10-18 J

3.12 x 10-18 J

4.12 x 10-18 J

5.12 x 10-18 J

3)  n=4 to n=2

186 nm

286 nm

386 nm

486 nm

586 nm

4)  n=10 to n=3

1.11 x 1014 Hz

2.22 x 1014 Hz

3.33 x 1014 Hz

4.44 x 1014 Hz

5.55 x 1014 Hz

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.

5)  E = 10.2 eV.

n=2 to n=1

n=3 to n=1

n=4 to n=1

n=5 to n=1

n=6 to n=1

6)  E = 2.04 x 10-18 J

n=2 to n=1

n=3 to n=1

n=4 to n=1

n=5 to n=1

n=6 to n=1

7)  l = 656 nm.

n=3 to n=2

n=4 to n=2

n=5 to n=2

n=6 to n=2

n=7 to n=2

8)  f = 3.14 x 1014 Hz

n=4 to n=3

n=5 to n=3

n=6 to n=3

n=7 to n=3

n=8 to n=3

The following three problems are about the following situation: You will be given an element in its ground state energy level. Determine what is a possible set of quantum numbers (n, l, ml, ms) for the outer electron.

9)  Helium

(1, 0, 0, +1/2)

(1, 1, 0, +1/2)

(1, 0, 1, +1/2)

(1, 1, 0, -1/2)

(1, 0, 1, -1/2)

10)  Oxygen

(2, 0, 1, +1/2)

(2, 0, 1, -1/2)

(2, 1, -1, +1/2)

(2, 0, -1, +1/2)

(2, 0, -1, -1/2)

11)  Calcium

(3, 1, 0, +1/2)

(3, 1, 1, +1/2)

(4, 2, 0, +1/2)

(4, 2, 1, +1/2)

(4, 0, 0, +1/2)

12)  If the nucleus of the hydrogen atom was a ball of radius 3.2cm, how far away in miles would the electron have to be to be a scale model?

0.2 miles

2 mile

20 miles

200 miles

13)  The electron in a hydrogen atom is in the first excited state, when the electron acquires an additional 2.86 eV of energy. What is the quantum number of the state into which the electron moves?

1

2

3

4

5

14)  A singly ionized helium atom has only one electron bound to the nucleus. What is the radius of the ion when it is in the second excited state?

r = 1.03 x 10-10m

r = 1.52 x 10-10m

r = 2.15 x 10-10m

r = 2.38 x 10-10m

15)  A hydrogen atom in the ground state absorbs energy and makes a transition to the n = 3 state. The atom returns to the ground state by emitting two photons. What are the wavelengths of the two photons?

6.56 x 10-7m, 1.22 x 10-7m

6.56 x 10-7m, 5.45 x 10-7m

3.43 x 10-7m, 1.22 x 10-7m

5.45 x 10-7m, 3.43 x 10-7m

Explanation / Answer

1) 12.1 J

Apply, energy of photon , E = 13.6 eV*(1/n2^2 - 1/n1^2)

= 13.6 eV*(1/1^2 - 1/3^2)

= 12.1 J

2) 2.12 x 10-18 J

Apply, energy of photon , E = 13.6 eV*(1/n2^2 - 1/n1^2)

= 13.6 eV*(1/1^2 - 1/6^2)

= 13.22 eV

= 13.22*1.6*10^-19

= 2.12*10^-18 J

3) 486 nm

E = 13.6 eV*(1/n2^2 - 1/n1^2)

= 13.6 eV*(1/2^2 - 1/4^2)

= 2.55 eV

= 2.55*1.6*10^-19

= 4.08*10^-19 J

Apply E = h*c/lamda

==> lamda = h*c/E

= 6.625*10^-34*3*10^8/(4.08*10^-19)

= 4.87*10^-7 m or 487 nm

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