Q.

Find the diameter of the image of the moon in mm formed by a spherical concave mirror of focal length 7.6 m. The diameter of the moon is 1450 Km and the distance  between earth and moon is 3.8×105km  (mm).

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answer is 69.

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Detailed Solution

The angle subtended by moon at pole of the mirror 
  θ=Ds=34503.8×105=9.1×103rad
  Question Image
The image of the moon is formed at the focal plane of the mirror (see figure). If d is the diameter of the image of the moon, then 
  θ=df d=θf=9.1×103×7.6=6.9×102m.
  
 

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