A convex mirror used for rear-view on an automobile has a radius of curvature of 3.00 m. If a bus is located at 5.00 m from this m

2 thoughts on “A convex mirror used for rear-view on an automobile has a radius of curvature of 3.00 m. If a bus is located at 5.00 m from this m”

1. Refer the attachments….

   Reply

2. Given:

   Radius of curvature = 3.00 m

   Bus located from this mirror = 5.00 m

   Mirror formula:

   [tex] \frac{1}{v} + \frac{1}{u} = \frac{1}{f} [/tex]

   Formula of magnification of a mirror:

   [tex]m = – \frac{v}{u} [/tex]

   Here,

   v is the distance of the image and u is the distance of the object from the mirror.

   Solution:

   u = 5m

   r = 3m

   f = r/2

   f = 3/2

   f = 1.5m

   Now in the mirror formula:

   [tex] \frac{1}{v} = \frac{1}{f} – \frac{1}{u} \\ \frac{6.5}{7.5} [/tex]

   v = 1.15m

   Magnification:

   [tex]m = – \frac{v}{u} \\ m = – \frac{ – 1.15}{ – 5} \\ m = 0.23[/tex]

   Therefore, the size of the image on the convex mirror will be 0.23 times more than the bus (object).

   The image formed will be:

   • Erect
   • Diminished

   Reply