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A Convex Lens Produces an Image on a Screen Twice the Size of the Object. the Distance Between the Object and Screen is 45 Cm. Find the Distance of the Lens from the Object and Its Focal Lengt - Physics

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प्रश्न

A convex lens produces an image on a screen twice the size of the object. The distance between the object and screen is 45 cm. Find the distance of the lens from the object and its focal length by drawing a ray diagram.
आकृती

उत्तर

Magnification, m = `"I"/"O" = "u"/"v" = 2` (given)

⇒ v = 2 u

u + v = 45 cm (given)

u + 2u = 45cm

3u = 45cm

`therefore` u = 15 cm

Distance of lens from the object is 15 cm.

⇒ v = 2u = 30cm

We know, `1/"f" = 1/"u" + 1/"v"`

                   = `1/15 + 1/30 = 3/10 = 1/10`

⇒ f = 10 cm

Focal length is 10 cm.

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पाठ 2: Light - Exercise 2.2 iii [पृष्ठ १०३]

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फ्रँक Physics - Part 2 [English] Class 10 ICSE
पाठ 2 Light
Exercise 2.2 iii | Q 1 | पृष्ठ १०३
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