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One side of radius of curvature R2=120cm of a convexo-convex lens of material of refractive index n=1.5 and focal ength f1=40 cm is silvered. It is placed on a horizontal surface with the silvered surface in contact with it.Another convex lens of focal length f2=20cm is fixed coaxially d=10cm above 1st lens.A point object on axis give riseto an image coincident with it.Findthe height of the object above the upper lens

One side of radius of curvature R2=120cm of a convexo-convex lens of material of refractive index n=1.5 and focal ength f1=40 cm is silvered. It is placed on a horizontal surface with the silvered surface in contact with it.Another convex lens of focal length f2=20cm is fixed coaxially d=10cm above 1st lens.A point object on axis give riseto an image coincident with it.Findthe height of the object above the upper lens

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1 Answers

SAGAR SINGH - IIT DELHI
879 Points
10 years ago

Dear student,

Please go through:

convex lens formula

Let AB represent an object placed at right angles to the principal axis at a distance greater than the focal length f of the convex lens. The image A1B1 is formed beyond 2F2 and is real and inverted.

OA = Object distance = u

OA1 = Image distance = v

OF2 = Focal length = f

OAB and OA1B1 are similar

But we know that OC = AB

the above equation can be written as

From equation (1) and (2), we get

Dividing equation (3) throughout by uvf

 

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Sagar Singh

B.Tech, IIT Delhi

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