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Questions  

Image of the sun is formed by a binconvex lens of focal length f. The image is a circular patch of radius r and is formed on the focal plane of the lens. Choose the correct statement from the following 

a
The area of the image is πr2 and it is directly proportional to f
b
The area of the image is πr2 and it is directly proportional to f 2
c
The intensity of the image will increase if f is increased
d
If the lower half of the lens is covered with black paper, the area of the image will become half

detailed solution

Correct option is B

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A student measures the focal length of a convex lens by putting an object pin at a distance ‘u’ from the lens and measuring the distance ‘v’ of the image pin. The graph between ‘u’ and ‘v’ plotted by the student look like


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