Question

An object 9.00 mm tall is placed 12.0 cm to the left of the vertex of a convex mirror whose radius of curvature has a magnitude of 20.0 cm.(a) calculate the position, size, orientation (erect or inverted), and nature (real or virtual) of the image. (b) draw a principal-ray diagram showing the formation of the image (how would i do that.. i know you can't draw it here)..

Answer 1

Step-by-step explanation:

a )

for convex mirror, focal length

f = + 20 / 2 = 10 cm

object distance u = 12 cm ( negative )

Using mirror formula

`(1)/(v) + (1)/(u) = (1)/(f)`

Putting the values

`(1)/(v) - (1)/(12) = (1)/(10)`

`(1)/(v) =(1)/(10) + (1)/(12)`

`v=(12* 10)/(12+10)`

v = 5.45 cm

Size of image

=
`(v)/(u) * size of object`

`=(5.45)/(12) * 9`

= 4.08 mm .

It will be erect because only erect image is formed in convex mirror .

It will be virtual .

b )

Draw ray from tip of object parallel to principal axis and after reflection appears to be coming from focus . Second ray falls on the pole and reflects back making equal angle with principal axis . Draw the reflected ray backwards to cut the other ray . They cut each other where image is formed .