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.