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Questions
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.
An object is placed at a distance of 10 cm from a convex mirror of focal length 15 cm. Find the position of the image formed by the mirror.
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Solution
According to the mirror formula,
`1/"f" = 1/"v" + 1/"u"`
Where,
f is the focal length of the mirror,
u is the object distance (distance of the object from the mirror) and
v is the image distance (distance of the image from the mirror).
The focal length of a convex mirror, f = 15 cm
Object distance, u = -10 cm
image distance (v) =?
`1/"v" = 1/"f" - 1/"u"`
`1/"v" = 1/15 - 1/(-10)`
`1/"v" = -1/15 + 1/10`
`1/"v" = (2 + 3)/30`
`1/"v" = 5/30`
v = `30/5`
v = 6 cm
The positive value of v indicates that the image is formed behind the mirror. The positive value of magnification indicates that the image formed is virtual and erect.
