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A compound microscope consists of two co...

A compound microscope consists of two convex lenses of focal length `2` cm and `5` cm. When an object is kept at a distance `2.1` cm from the objective, a virtual and magnified image is formed `25` cm from the eye piece. Calculate the magnifying power of the microscope.

Text Solution

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Given : `f_o=2 cm , f_e = 5 cm , u_0 =-2.1 cm d = 25 cm`
We know that, `(1)/(f_(o))=(1)/v_o-1/u_o`
`implies (1)/(v_(o))=1/(f_o)+1/(u_o)=1/2+1/(-2.1)`
`implies 1/v_o=-42 cm`
Magnification `m = (v_0)/u_0 (1+(d)/f_e)`
`=(-42)/(-2.1)(1+25/5)`
`= 20(1+50)`
` = 20 xx6 = 120`
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