Optics


   
 
Numerical - 03
03. A small pin fixed on a table top is viewed from above from a distance of 50 cm. By what distance would the pin appear to be raised if it is viewed from the same point through a 15 cm thick glass slab held parallel to the table? Refractive index of glass = 1.5. Does the answer depend on the location of the slab?
 
Suggested solution:
 
If y is the distance through which the pin would appear to be raised, then y = Real thickness (of slab) - Apparent thickness (of slab)
 
or
 
 
where m is the refraction index of the material of the slab.
 
 
 
The location of the slab will not affect the answer in any way.
 
 
     
   
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Optics