A card sheet divided into squares each of size $1 {mm}^{2}$ is being viewed at a distance of 9 cm through a converging lens of focal length 10 cm held close to the eye. The area of the each image of square is

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$81 {cm}^{2}$

$10 {cm}^{2}$

$100 {cm}^{2}$

$1 {cm}^{2}$

answer is A.

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Detailed Solution

$Area of each square, A = 1 {mm}^{2} u = - 9, f = 10 \frac{1}{v} - \frac{1}{u} = \frac{1}{f} \Rightarrow v = - 90 cm Magnification, m = v / u = - 90 / (- 9) = 10 Area of each square is 10^{2} \times A = 100 {mm}^{2}$

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