# 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? - Science

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?

#### Solution

Given, focal length (f) = 100 mm
Size of object (h) = 16 mm
Image distance (v) = 25 cm = 250 mm

Lens formula is given by

1/f=1/v-1/u

1/100=1/250-1/u

1/u=1/250-1/100

1/u=(2-5)/500

1/u=-3/500

u=-166.67mm

u=-16.66cm

The object is at a distance of 16.66 cm and in front of the mirror. The image is at a distance of
25 cm and in front of the mirror. Therefore, the distance between the object and the image is 25 cm-16.66 cm = 7.14 cm.

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#### APPEARS IN

Lakhmir Singh Class 10 Physics (Science)
Chapter 5 Refraction of Light
Q 42.1 | Page 248