Question

The measured ionization energy of the 2s1 electron of Lithium is 5.39eV, what is the effective charge Zeff of the Lithium nucleus for this electron?

II.2. How fast must an object move before its length appears to be contracted to one-half its proper length? II.3. A distant galaxy is moving away from the Earth at such high speed that a spectrum line at a

wavelength of 300nm is recorded at 600nm. What is the speed of the galaxy relative to the Earth?

II.4. Rocket A leaves a space station with a speed of 0.80c. Later, rocket B leaves in the same direction with a speed of 0.50c. What the velocity of rocket A is as observed from rocket B?

II.5. Calculate the de Broglie wavelength of an electron with kinetic energy K=10.0eV.
II.6. The wave function of a particle in a 1D rigid box (infinite potential well) of length L is:

?? 2 ????π −??(????/ħ)?? ?? Ψ(??,??)=�sin( ??)?? .?? =1,2,3,...

????

  

What is the probability density of finding the particle in its 2nd excited state?

II.7. Compute the change in energy of the 2p→ 1s photon when a hydrogen atom is placed in a magnetic field of 2.00 T.

Answer 1

1) Zeff=n En Li - 15², 252 El & Ea = -5.38 eu Ei= -13.6eu El Z z eff .: 259 -5.39 - 13.6 2) L = Loft 1-02 where Los original length C Given: L = Lo alt 1-22 T-u? =) to 1-12 c? 4 3 4 =) v² C = v= 3 c = 2.5988108 m/s 2

6) da h 6. 62.6 to r34 amek у 2x9.1 х/0-31 х 10х1,6 худ - 19 4 ті 2. 2. Хо - 3.49 А