Chapter 19 Question 4
 
a. Explain what is meant by “excitation by collision”. Draw the experimental set-up for investigating the collisions of moving electrons with gaseous mercury atoms. Discuss the importance of the results. 6 marks
 
Excitation by collision is the process in which an atom is collided inelastically by an electron and therefore gains some energy without ionization. 1
Franck and Hertz Experiment
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In this experiment, if the voltage across C and G is greater than that across G and A, i.e. VCG > VGA, electrons should have no problem in reaching the anode (i.e. current can be detected). However, when VCG is increased, it is found that there are some drop in current. This tells us that some of the electrons have lost their energy in their way to the anode, so that their kinetic energy is not large enough to overcome the energy barrier set by the 1 V cell. 1
The explanation to the loss in kinetic energy is inelastic collision with the mercury atoms. Every atom has a set of definite energy levels. Normally, they are in the ground state. When the energy of the colliding electron are small, they cannot raise the energy of the mercury. We say that the collision is elastic. However, when the energy of the colliding electron is large, the atom will be excited and some of the energy of the electron will be taken away.
Thus, the result of Franck Hertz Experiment provides an evidence that there are discrete energy level in atoms. 1
 
b. Describe how you could analyze the optical spectrum from a light source. Write down the equation that enables you to find out the wavelength of light. 3 marks
 
The optical spectrum is analyzed by the use of a spectrometer and a diffraction grating.
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When light passing through a diffraction grating, it would be spread out according to its wavelength. The angle of diffraction is given by
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where d is the slit separation of the grating and m = 0, 1, 2, ...
The angle of diffractin can be measured by a spectrum as shown below:
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c. Discuss and contrast the formations of 
i)    line emission spectrum
5 marks 
 
Line spectrum is produced by exciting the gaseous atoms at low pressure. When viewed through a diffraction grating, discrete lines are seen. This shows that such kind of light has only a set of well-defined wavelengths.  1
When an atom excited returns to a lower energy level, a package of energy in the form of photon is emitted. Since atoms have well-defined energy levels, the photons emitted are also of well-defined energy.
The wavelength cannot be any values because

 

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ii)     continuous spectrum  
 
A continuous spectrum is emitted from the excited atoms in a solid or gas at high pressure. The wavelength can be any values within a range. Since atoms are closely packed, they easily collide with one another. An excited atom easily has energy exchange with other atoms. Thus, it is likely that the energy emitted can be any values. 1
iii)     absorption spectrum.  
 
An absorption spectrum is a continuous spectrum with some missing wavelength. It is produced by passing a white light source (continuous spectrum) through a gas at low pressure. 
The atoms in the gas pick up those photons that can cause excitation. When they return to the ground state, the some photon is emitted but in all directions. As a result, the intensity of that wavelength in the original direction is much lower than other wavelengths. 1
Experiments show that the absorption spectrum occurs at the same position as the line spectrum for a given sample of gas.
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d. State the properties of light from a laser. 2 marks
 
Lasers are
  • powerful
  • coherent
  • monochromatic
  • parallel/unidirectional
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