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# A Student Did an Experiment with a Convex Lens. He Put an Object at Different Distances 25 Cm, 30 Cm, 40 Cm, 60 Cm and 120 Cm from the Lens. in Each Case He Measured the Distance of the Image from the Lens. His Results Were 100 Cm, 24 Cm, 60 Cm, 30 Cm and 40 Cm, Respectively. Unfortunately His Results Are Written in Wrong Order. What is the Focal Length of this Lens? - CBSE Class 10 - Science

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ConceptRefraction of Light Image Formation by Lenses - Convex Lens

#### Question

A student did an experiment with a convex lens. He put an object at different distances 25 cm, 30 cm, 40 cm, 60 cm and 120 cm from the lens. In each case he measured the distance of the image from the lens. His results were 100 cm, 24 cm, 60 cm, 30 cm and 40 cm, respectively. Unfortunately his results are written in wrong order.

What is the focal length of this lens?

#### Solution

The image of an object at 2f is formed at 2f. This means that the pair of u and v that is equal in value gives us the value of 2f, which is 40. Hence, the value of f (focal length) is  40/2.
∴ f=20 cm.

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Solution A Student Did an Experiment with a Convex Lens. He Put an Object at Different Distances 25 Cm, 30 Cm, 40 Cm, 60 Cm and 120 Cm from the Lens. in Each Case He Measured the Distance of the Image from the Lens. His Results Were 100 Cm, 24 Cm, 60 Cm, 30 Cm and 40 Cm, Respectively. Unfortunately His Results Are Written in Wrong Order. What is the Focal Length of this Lens? Concept: Refraction of Light - Image Formation by Lenses - Convex Lens.
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