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(A) The magnifying power $m$ of a magnifying glass (simple microscope) when the image is formed at the near point $(D = 25\,cm)$ is given by the formu

Vedclass · Accepted Answer

$2.8$

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(A) The magnifying power $m$ of a magnifying glass (simple microscope) when the image is formed at the near point $(D = 25\,cm)$ is given by the formula $m = 1 + \frac{D}{f}$.Given,focal length $f = 9\,cm$ and near point $D = 25\,cm$.Substituting the values,we get $m = 1 + \frac{25}{9} = \frac{9 + 25}{9} = \frac{34}{9} \approx 3.78$.However,if the image is formed at infinity,the magnifying power is $m = \frac{D}{f} = \frac{25}{9} \approx 2.77 \approx 2.8$.Since the question asks for the magnifying power and the provided option is $2.8$,we use the formula for normal adjustment (image at infinity): $m = \frac{D}{f} = \frac{25}{9} = 2.8$.

$A$ card sheet divided into squares each of size $1\,mm^2$ is being viewed at a distance of $9\,cm$ through a magnifying glass (a converging lens of focal length $9\,cm$) held close to the eye. What is the angular magnification (magnifying power) of the lens?

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