If an object 18 millimeters high is placed 12 millimeters from a diverging lens and the image is formed 4 millimeters in front of the lens what is the height of the image

Verified Answer :

Answer:The height of the image is -6 mm.

Explanation;

Distance of the object form the lens = u = 12 mm

Distance of the image formed from the lens = v = 4 mm

Height of the object = 18 mm=\(h_o\)

The magnification is given by :

\(M=-\frac{v}{u}=\frac{h_i}{h_o}\)

\(h_i\& h_o\)= Height of an image and object respectively.

\(M=-\frac{4 mm}{12 mm}=\frac{h_i}{18 mm}\)

\(h_i=-6 mm\)

The height of the image is -6 mm.The image formed is real and negative sign signifies that image is inverted.