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The table shows the object distance, u, and the corresponding image distance v, for an object placed in front of a concave mirror.

 u (cm)  20   25  30   40   50   70 
 v(cm) 20 16.7  15 13.3  12.5  11.6 
 1/u (cm−1      
 1/v (cm−1)      

  1. Complete the table by filling in the values of 1/u and 1/v 
  2. plot a graph of 1/u (y-axis) against 1/(x-axis)
  3. From the graph, determine the focal length of the mirror. 

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  1.  
    u (cm)  20   25  30   40   50   70 
     v(cm) 20 16.7  15 13.3  12.5  11.6 
     1/u (cm−1 0.05  0.04 0.033  0.025  0.020  0.014 
     1/v (cm−1) 0.05 0.06 0.067 0.075 0.08 0.086

  2. graph of u against v
  3. 1/f = 1/u + 1/v intercept = 1/ 
     0.1 = 1/f 
     f = 10cm
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