First slide

Ray optics

Question

If the focal length of objective lens is increased then magnifying power of

Easy

A

microscope will increase but that of telescope decrease.
B

microscope and telescope both will increase.
C

microscope and telescope both will decrease.
D

microscope will decrease but that of telescope will increase.

Solution

$Magnifying power of a microscope, m = (\frac{L}{f_{o}}) (\frac{D}{f_{e}})$
where $f_{0}$ and $f_{e}$ are the focal lengths of the objective and eyepiece respectively and L is the distance between their focal points and D is the least distance of distinct vision. If $f_{0}$ increases, then m will decrease.
$Magnifying power of a telescope, m = \frac{f_{0}}{f_{e}}$
where $f_{0}$ and $f_{e}$ are the focal lengths of the objective and eyepiece respectively. If $f_{0}$ increases, then m will increase.

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