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CBSE Class 10 Science 2018 · Paper 31/1 · Question 26

Light - Reflection and Refraction 2 marks Medium
An object of height 4.0 cm is placed at a distance of 30 cm from the optical centre ‘O’ of a convex lens of focal length 20 cm. Draw a ray diagram to find the position and size of the image formed. Mark optical centre ‘O’ and principal focus ‘F’ on the diagram. Also find the approximate ratio of size of the image to the size of the object.

Answer

The image is real, inverted and 8.0 cm tall, 60 cm from the lens beyond , so image : object is about 2 : 1.

Ray diagram: the object AB ( cm) stands cm from O, between and . A ray from B parallel to the axis is refracted through , and a ray from B through O goes undeviated; the two meet at . Position of the image: cm from the lens on the other side, beyond (check: , so cm). Size of the image: cm; the image is real and inverted (). Ratio of the size of the image to the size of the object .

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