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A Point Object O is Placed at a Distance of 15cm from a Convex Lens L of Focal Length 1 Ocm as Shown in Figure 5 Below. on the Other Side of the Lens, a Convex Mirror M is Placed Such that Its Distance from the Lens is Equal to the Focal Length of the Lens. the Final Image Formed by this Combination is Observed to Coincide with the Object O. Find the Focal Length of the Convex Mirror - ISC (Arts) Class 12 - Physics (Theory)

ConceptRay Optics - Mirror Formula

Question

A point object O is placed at a distance of 15cm from a convex lens L of focal length 1 Ocm as shown in Figure 5 below. On the other side of the lens, a convex mirror M is placed such that its distance from the lens is equal to the focal length of the lens. The final image formed by this combination is observed to coincide with the object O. Find the focal length of the convex mirror

Solution

u = 15 cm

f = 10 cm

d = f = 10 cm

For lens, 1/V - 1/u = 1/f

1/V - 1/((-15)) = 1/10

1/V = 1/10 -= 1/15 = (3-2)/30 = 1/30

V= 30 cm

MI = LI - LM = 30 - 10 = 20 cm

f = 20/2 = 10 cm

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2014-2015 (March) (with solutions)
Question 10.1 | 3.00 marks

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Solution A Point Object O is Placed at a Distance of 15cm from a Convex Lens L of Focal Length 1 Ocm as Shown in Figure 5 Below. on the Other Side of the Lens, a Convex Mirror M is Placed Such that Its Distance from the Lens is Equal to the Focal Length of the Lens. the Final Image Formed by this Combination is Observed to Coincide with the Object O. Find the Focal Length of the Convex Mirror Concept: Ray Optics - Mirror Formula.
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