Question

A convex mirror on a bus (as a revers view mirror)has radius of curvature 3.00m it the distance of bus 5m then find the position and nature and size of image

Answer 1

Radius of curvature of the convex mirror R = 3 m
Focal length of the convex mirror f = R/2 = 1.5 m  (positive for convex mirror)
Object (bus) distance u = − 5 m
Image distance v = ?
Mirror formula is: 1/f = 1/v + 1/u
  1/1.5 = 1/v + 1/(−5)
1/v = 1/1.5 + 1/5
      = (5 + 1.5)/(5 x 1.5) = 6.5/7.5
v = 7.5/6.5
   = 1.15 m

Position of the image is at 1.15 m behind the mirror.

Answer 2

f = +1.5m
u = -5m
v = +1.15m
position of image= between c and f.
nature= real, inverted, and can be obtained on screen.image is smaller than object.