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Question

# An object is placed at a distance u from a simple microscope of focal length f. The angular magnification obtained depends (a) on f but not on u (b) on u but not on f (c) on f as well as u (d) neither on f nor on u

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Solution

## (c) on f as well as u ​The angular magnification is the ratio of the angle subtended by the image to the angle subtended by the object on an unaided eye. In a simple microscope, $m=\frac{h}{u}}{h}{D}}\phantom{\rule{0ex}{0ex}}\mathrm{Here},\phantom{\rule{0ex}{0ex}}u=\mathrm{Object}\mathrm{distance}\mathrm{from}\mathrm{the}\mathrm{lens}\phantom{\rule{0ex}{0ex}}D=\mathrm{Image}\mathrm{distance}\mathrm{from}\mathrm{the}\mathrm{lens}\phantom{\rule{0ex}{0ex}}h=\mathrm{Height}\mathrm{of}\mathrm{the}\mathrm{object}$ In normal adjustment, the object is placed at a distamce equal to ​focal length(f) from the lens and then magnification is given by m = D/f. For u < f, m = D/f +1.

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