Class 10 Science - Chapter Light - Reflection and Refraction NCERT Solutions | A convex lens forms a real and inverted

Welcome to the NCERT Solutions for Class 10th Science - Chapter Light - Reflection and Refraction. This page offers a step-by-step solution to the specific question from Exercise 4, Question 2: a convex lens forms a real and inverted image of a....
Question 2

A convex lens forms a real and inverted image of a needle at a distance of 50 cm from it. Where is the needle placed in front of the convex lens if the image is equal to the size of the object? Also, find the power of the lens.

Answer

The image formed is inverted and of the same size as the object. When an object is placed at the centre of curvature, 2F1, of a convex lens, its image is formed at the centre of curvature, 2F2, on the other side of the lens.

Given,

The image of the needle is formed at a distance of 50 cm from the convex lens. Hence, the needle is placed in front of the lens at a distance of 50 cm.

Object distance, u = −50 cm

Image distance, v = 50 cm

Focal length = f

Putting values to the lens formula,

Hence, the power of the given lens is +4 D.

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