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Q.

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)

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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

answer is A.

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Detailed Solution

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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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)