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When an electric current is passed through hydrogen gas at low pressure, visible light is observed. When this light is passed through a prism, four narrow bands of light are observed against a black background. An expression relating the wavelength of the emitted light to the electronic transitions in the hydrogen atom is given in equation E1.1.   
     
1 λ i
= R 1 n1 2
− 1 n2 2


 Eq. (E1.1)
  (i) Explain what the symbols in equation E1.1 represent. [4 marks]   (ii) The four lines observed are due to transitions between the following energy levels:    n=6 to n=2;  n=5 to n=2;  n=4 to n=2;  and n=3 to n=2.    Calculate the four different wavelengths of light emitted.    [The value of R is 1.09678 × 10–2 nm–1 .] [2 marks]   (iii) Why was the n=2 to n=1 transition not originally observed in the experiment on the emission spectrum of hydrogen?  [2 marks] 
 (b) Schrödinger's model of the atom assumes that electrons display wave-like behaviour. The model uses four quantum numbers to describe electron orbitals. Each orbital represents a particular electron-wave distribution in space.   (i) Give the names and symbols for these four quantum numbers. [2 marks]   (ii) For each quantum number, what is the permissible range of values? [2 marks]   (iii) For a hydrogen atom, if an electron occupies the n=3 level, what values can the other three quantum numbers take? How many and what type of orbitals are available for the electron to occupy? How many electrons can the n=3 level accommodate?

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ASTR 110 Astrophysics I

Question:    The chart above is a crater count-age graph which you will use through this laboratory. You use it as follows: 1. Find the region for which you want to measure the age. This region should contain several craters of about the same size. 2. Use the ruler to make a rough measurement ...

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o o on 鼄 do 4 List of formulas Coulomb’s Law: µ = d q d s σ = d q d A ρ = d q d V ! C = ! A × ! B C = A B s i n θ ...

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