SCI 270: On Nuclear Technology Practice Problems |
---|
Wavelength, l | Wavenumber, 1/l | Frequency, c/l | Photon energy, h v | n in Balmer series. |
---|---|---|---|---|
nm | 10^{6} m^{-1} | 10^{14} Hz | 10^{-19} J | Integer |
656.3 | ||||
486.1 | ||||
434.0 | ||||
410.1 | ||||
396.9 | ||||
389.0 |
Convert the wavelengths l to wavenumbers and frequencies using the given formulas in multiples and units as indicated. Also evaluate the n in the Balmer series.
| | | | | |4____________________5____________________6____________________7___________/e14 Hz |
The Rydberg relationship is usually given in the form as follows:
1 --- l | = - R ( | 1 --- n^{2} | - | 1 --- ) 4 |
---|
The Rydberg constant R is | ________________________ m^{-1} |
---|
However, the Rydberg relationship can be written for frequency (v) as follows:
v = - R ( | 1 --- n^{2} | - | 1 --- ) 4 |
---|
The Rydberg constant R is | ________________________ Hz |
---|
where m, Z, c, h and e are the mass of the electron, atomic number, speed of light, Planck's constant, and charge of an electron respectively.
Apply this number to calculate the wave numbers of the 5 lines (n_{f} = 2, 3, 4, 5, and 6; n_{i} = 1) of the Lyman series.
The formula used: | _____________________________ | |||
---|---|---|---|---|
Wave numbers of the five lines | ||||
_____________ | _____________ | _____________ | _____________ | _____________ |
In what regions are these lines within the electromagnetic radiation spectrum, visible, UV, IR, Microwave, or X-ray?
These lines are in the region of |
---|
_______________________________ |
Atomic number | Element | Wavelength | Frequency | Frequency^{(1/2)} | Photon energy, h v |
---|---|---|---|---|---|
nm | 10^{18} Hz | 10^{9} Hz^{(1/2)} | 10^{-15} J | ||
23 | V | 0.2503 | 1.199 | ||
24 | Cr | 0.2289 | 1.310 | ||
25 | Mn | 0.2102 | 1.427 | ||
26 | Fe | 0.1936 | 1.550 | ||
27 | Co | 0.1789 | 1.677 | ||
28 | Ni | 0.1657 | 1.810 | ||
29 | Cu | 0.1541 | 1.947 | ||
30 | Zn | 0.1435 | 2.090 | ||
42 | Mo | 0.0746 | 4.020 | ||
47 | Ag | 0.0559 | 5.363 | ||
79 | Au | 0.0180 | 16.650 |
Complete the Table by taking the square root of the frequencies, and plot
them against the atomic number Z on a graph to see if these data
obey the Moseley's law.
| | | | | | | | | | | | |______________________________________________________________________ |
Evaluate the photon energies and plot them against Z^{2}
to see if they fit a straight line.
| | | | | | | | | | | | |______________________________________________________________________ |
The wavelengths are given below | |||
---|---|---|---|
H | Al | Sn | U |
_____________ | _____________ | _____________ | _____________ |