An object is placed at a distance of `10 cm` from a convex mirror of focal length `15 cm`. Find the position and nature of the image ?

Explanation

we can find the position of image by calculating the image distance, v.
Here, Object distcance, u = - 10 cm (To the left of mirror)
Image distance, v = ? (To be calculated )
And, Focal length, f = + 15 cm (It is a convex mirror)
Putting these values in the mirror formula :
`1/v+1/u=1/f`
`"We get: "1/v+1/(-10)=1/15`
`1/v-1/10=1/15`
`1/v=1/15+1/10`
`1/v=(2+3)/30`
`1/v=5/30`
`1/v=1/6`
So, Image distance, v = + 6 cm
Thus, the position of image is at a distance of 6 cm from the convex mirror on its right side (behind the mirror). Since the image is formed behind the convex mirror, therefore, the nature of image is virtual and erect.