A small object is placed on the principal axis of a convex mirror of focal length 10cm . Determine the position of the image when the object is 15cm from the mirror.​

Respuesta :

Answer:

v = 6 cm

Explanation:

We have,

A small object is placed on the principal axis of a convex mirror of focal length 10 cm. The focal length of a convex mirror is positive. So, f = +10 cm

It is required to find the position of the image when the object is 15 cm from the mirror.​ Using mirror's formula :

[tex]\dfrac{1}{v}+\dfrac{1}{u}=\dfrac{1}{f}[/tex]

v is image distance

[tex]\dfrac{1}{v}=\dfrac{1}{f}-\dfrac{1}{u}\\\\\dfrac{1}{v}=\dfrac{1}{+10}-\dfrac{1}{(-15)}\\\\v=6\ cm[/tex]

Hence, the image will formed at a distance of 6 cm form the mirror.