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Question

Physics Question on Ray optics and optical instruments

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

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.

Answer

microscope will decrease but that of telescope will increase.

Explanation

Solution

Magnifying power of a microscope.
m=(Lf0)(Dfe)m= \bigg( \frac{L}{f_0} \bigg) \bigg(\frac{D}{f_e} \bigg)
where foandfcf _o \, \, and \, \, f_c 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 fof_o increases, then m will decrease.
Magnifying power of a telescope, m=f0fem = \frac{f_0}{f_e}
where foandfef_o \, \, and \, \, f_e are the focal lengths of the objective .
and eyepiece respectively.
If f0f_0 increases, then m will increase.