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Questions  

Two half convex lenses of focal lengths f1 = 16 cm and f2 = 21 cm respectively are placed such that their principal axes coincide. Both the lenses form image of a real point object O on a fixed screen as shown. The distance between object and screen is 100 cm. Then pick up the correct statement(s)

a
The distance of lens1 from object O can be 20 cm
b
The distance of lens 1 from object O can be 80 cm
c
The distance of lens 2 from object O can be 30 cm
d
The distance of lens 2 from object O can be 70 cm

detailed solution

Correct option is A

Let say distance between object and Lens 1 is 'x'Lens formula for Lens 1: 1v−1u=1f ⇒1(100−x)−1(−x)=1(16) ⇒x=20cm or 80cmSimilarly, let say distance between object and Lens 2 is ‘y’Lens formula for Lens 2: 1v−1u=1f ⇒1(100−y)−1(−y)=1(21) ⇒x=30cm or 70cm

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Similar Questions

In the diagram shown, the lens is moving towards the object with a velocity V m/s and the object is also moving towards the lens with the same speed. What is speed of the image with respect to earth when the object is at a distance 2f from the lens? 

(f is the focal length):


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