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Lens Maker's Formula

Ray diagram f...

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Ray diagram for two lenses kept ar a some distance given in diagram, which of the following option is correct(f1,f2=focal lenghth, d=distance between two lenses) (1) f1 +f2> d (2) f1+f2

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Q. Ray diagram for two lenses kept at some distance given in the diagram,which of the following option is correct (

f_{1}, f_{2} =

d =

distance between lenses )

Q. In the adjoining diagram, distance between two lenses will be (

F_{1}

F_{2}

are focal length of two lenses)

Q. Two thin convex lenses of focal length

f_{1} a n d f_{2}

are separated by a horizontal distance d (where

d < f_{1}, d < f_{2}

) and their centers are displaced by a vertical separation

Δ

as shown in figure.

Taking the origin of coordinates O at the center of the first lens, the x and y coordinates of the focal point of this lens system, for a parallel beam of rays coming from the left, are given by:

Q. Assertion :Two convex lenses of same material and equal focal length

^{'} f^{'}

from achromatic combination when separated by distance

^{'} f^{'}

\frac{1}{F} = \frac{1}{f_{1}} + \frac{1}{f_{2}} - \frac{d}{f_{1} f_{2}}

F =

equivalent focal length of lenses having focal lengths

f_{1}

f_{2}

separated by a distance

^{'} d^{'}

Q. Two convex lenses of focal lengths

f_{1}

f_{2}

form images with magnification

m_{1}

m_{2}

, when used individually for an object kept at the same distance from the lenses. Then

f_{1} / f_{2}

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