Question

Please Solve this question, A convex mirror use for rear view on an automobile has radius of curvature of 3m. If the bus is located at 5m from the rear view mirror. find the position 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.