Question

A convex spherical mirror has a radius of curvature of magnitude 46.0 cm. Determine the position of the virtual image and the magnification for object distances of 41.0 cm. Indicate the location of the image with the sign of your answer. Determine the position of the virtual image and the magnification for object distances of 55.0 cm. Indicate the location of the image with the sign of your answer. Are the images in parts (a) and (b) upright or inverted?

Answer 1

a. focal length = f= R/2 = 46/2= 23 cm

1/f= 1/do+1/di

so, 1/23=-1/41+ 1/di

so, di= 14.73 cm

magnification =14.73/41=0.359

b. focal length = f= R/2 = 46/2= 23 cm

1/f= 1/do+1/di

so, 1/23=-1/55+ 1/di

so, di= 16.21 cm

magnification =16.21/55=0.294

c.image is upright

image is upright