An object is located 21.0 cm to the left of a diverging lens having a focal length f = -40.0 cm. (a) determine the location of the image. (b) determine the magnification of the image.
(c) construct a ray diagram for this arrangement.

(a). The image distance is 13.77 cm to the left side of a lens.

(b).  The magnification of the image is -0.655

Explanation:

Given that,

Object distance u= 21.0 cm

Focal length f= -40.0 cm

(a). We need to calculate the image distance

Using formula of lens

Put the value into the formula

(b). We need to calculate the magnification of the image

Using formula of magnification

Put the value into the formula

Hence, (a). The image distance is 13.77 cm to the left side of a lens.

(b).  The magnification of the image is -0.655

c. convergent boundary.

explanation: