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प्रश्न
A magnifying lens has a focal length of 100 mm. An object whose size is 16 mm is placed at some distance from the lens so that an image is formed at a distance of 25 cm in front of the lens. What is the distance between the object and the lens?
संख्यात्मक
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उत्तर
Given focal length (f) = 100 mm
Size of object (h) = 16 mm
Image distance (v) = −25 cm = −250 mm (negative sign because the image is on the same side as the object)
The lens formula is given by:
`1/f = 1/v - 1/u`
`1/100 = 1/-250 - 1/u`
`1/u = 1/100 - 1/-250`
`1/u = 1/100 + 1/250`
`1/u = 5/500 + 2/500`
`1/u = 7/500`
`u = 500/7`
u = 71.43 mm
u = 7.143 cm
∴ The distance between the object and the lens is approximately 7.143 cm
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