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प्रश्न
An object is placed at a distance of 10 cm in front of a concave mirror of focal length 15 cm. Use mirror formula to determine the position of the image formed by this mirror.
संख्यात्मक
उत्तर
Given:
Object distance (u) = −10 cm
Focal length (f) = −15 cm
Image distance (v) = ?
Using the mirror formula, we get
`1/f = 1/v + 1/u`
`1/(-15) = 1/v + 1/(-10)`
`1/v = 1/(-15) - 1/(-10)`
`1/v = 1/(-15) + 1/10` ...[Taking LCM of 15 and 10, is Which 30]
`1/v = (-2)/30 + 3/30`
`1/v = (-2 + 3)/30`
`1/v = 1/30`
∴ v = 30 cm
The image is formed at a distance of 30 cm behind the mirror. The positive value of v indicates that the image is formed on the same side as the object, meaning it is a virtual and erect image.
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