Question

A 3 cm tall object is 45 cm in front of a convex mirror that has a -25 cm focal length. What is the image characteristics? Real / Virtual Upright / Inverted Smaller / Larger / Same Size O A. Real Inverted Larger OB. Real Upright Smaller O C. Vitual Inverted Larger O D. Virtual Upright Smaller

Answer 1

Step-by-step explanation:

It is given that,

Height of the object, h = 3 cm

Object distance, u = -45 cm

Focal length of the mirror, f = - 25 cm

Using mirror's formula as :

`(1)/(f)=(1)/(u)+(1)/(v)`, v is the image distance

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

`(1)/(v)=(1)/(-25)-(1)/(-45)`

v = −56.25 cm

Let h' is the height of the image. Using the formula of magnification as :

`m=(-v)/(u)=(h')/(h)`

`h'=(-vh)/(u)`

`h'=(-(-56.25)* 3)/(-45)`

`h'=+3.75\ cm`

So, the image is larger than object. The image is upright and inverted. Hence, this is the required solution.