A fish is 11.9 cm from the front surface of a fish bowl of radius 33 cm. Where does the fish appear to be to someone in air viewing it from in front of the bowl

The fish would appear 42.7 cm on the left side from the front of the bowl.

Explanation:

The fish (object) distance = 11.9 cm, radius of curvature of the bowl = 33 cm. The distance of image of the fish (image distance) can be determined by applying the mirror formula;

= +

where f is the focal length of the reflecting surface, u is the object distance and v is the image distance.

But, f =

         =

       f = 16.5 cm

Substitute f = 16.5 = , and u = 11.9 = in equation 1;

= +

= -

  =

=

⇒ v  =

       = -42.6848

    v = 42.7 cm

The fish would appear 42.7 cm on the left side from the front of the bowl.

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