An object is placed 15cm from a convex mirror of radius of curvature 90cm. Calculate image position and magnification.
Step 1: Given
Radius of curvature(R)= 90 cm
Object distance(u)= -15 cm (in front of mirror)
Focal length(f)= R/2= 90/2 = 45 cm
Step 2: Formula used
1f=1u+1v (mirror formula)
Magnification(m) = −vu
Step 3: Finding the image distance
Hence, image distance(v)= 45/4 cm = 11.25 cm
Step 4: Finding the magnification
Magnification(m)= −vu =−11.25−15 = o.75
Hence, the magnification is 0.75 and the image distance is 11.25 cm.