(Numerical)Find the position, nature, and size of the image by convex mirror

 Here you can learn how to solve Physics  Class 10 Light Numericals related to convex mirrors.

The focal length of a convex mirror is 2 m. A bus is located at a distance of 5m from the mirror. Find the position, nature, and size of the image.

    Given values 

    Focal length(f) = 2 m

    Distance of object(u) = - 5 m

    Distance of image (v) =?

    Magnification(m) =?

    Nature of image =?

    Solution 

     (i) . Distance of image (v)

     

    `1/u+  1/v=1/f` 

     `1/v=  1/f+  1/u` 

      `1/v=  1/2+  1/5` 

       `1/v=(5+2 )/10` 

 

        `1/v=7/10` 

        `v  =  10/7` 

        `v= 1.428 m` 

        So, the image is formed at a distance of 1.428 m from the mirror.

 

   (ii) . Magnification (m)

          `m=-v/u` 

          `m=-1.428/(-5)` 

         `m=0.285`

     (iii)       Nature of image

 

(+) sign of v and m shows that the image is erect and virtual.

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