Question

a convex mirror has a focal length of 13 cm a light bulb with diameter of 6 cm is placed 60cm from mirror what is the light bulbs image position and diameter

Answer 1

Answer:

1.1 cm and -10.7 cm is the correct answer.

light bulb's image position = 1.1cm

Diameter of light bulb = -10.7cm

Explanation:

Given data :

A convex mirror is given.

Focal length = 13 cm

diameter = 6 cm

Height = 60cm

To find:

light bulb's image position and diameter

Solution

1 /f = 1/d1 + 1/d2

1/d1 = 1/f - 1/d2

= 1/(-13) - 1/ 60

= -0. 0769 - 0.0166

= -10 cm

We know that,

h2/h1 = - d1/d2

h2 = -d1*h1/d2

= -10.7*6/60

= -64. 2/60

= 1.07cm

=1.1 cm

Hence,

1.1 cm and -10.7 cm is the correct answer.

light bulb's image position = 1.1cm

Diameter of light bulb = -10.7cm