HARD
JEE Main
IMPORTANT
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A converging lens of focal length 12 cm and a diverging mirror of focal length 7.5 cm are placed 5.0 cm apart, with their principal axes coinciding. Where should an object be placed, so that its image falls on itself?

Important Questions on Geometrical Optics

MEDIUM
JEE Main
IMPORTANT
CONCEPTS OF PHYSICS [VOLUME 1]>Chapter 18 - Geometrical Optics>EXERCISES>Q 63
A converging lens and a diverging mirror are placed at a separation of 15 cm. The focal length of the lens is 25 cm and that of the mirror is 40 cm. Where should a point source be placed between the lens and the mirror so that the light, after getting reflected by the mirror and then getting transmitted by the lens, comes out parallel to the principal axis?
HARD
JEE Main
IMPORTANT
CONCEPTS OF PHYSICS [VOLUME 1]>Chapter 18 - Geometrical Optics>EXERCISES>Q 64
A converging lens of focal length 15 cm and a converging mirror of focal length 10 cm are placed 50 cm apart with common principal axis. A point source is placed in between the lens and the mirror at a distance of 40 cm from the lens. Find the locations of the two images formed.
HARD
JEE Main
IMPORTANT
CONCEPTS OF PHYSICS [VOLUME 1]>Chapter 18 - Geometrical Optics>EXERCISES>Q 65
Consider the situation described in the previous problem. Where should a point source be placed on the principal axis, so that the two images form at the same place?
MEDIUM
JEE Main
IMPORTANT
CONCEPTS OF PHYSICS [VOLUME 1]>Chapter 18 - Geometrical Optics>EXERCISES>Q 66
A converging lens of focal length 15 cm and a converging mirror of focal length 10 cm are placed 50 cm apart. If a pin of length 2.0 cm is placed 30 cm from the lens farther away from the mirror, where will the final image form and what will be the size of the final image?
HARD
JEE Main
IMPORTANT
CONCEPTS OF PHYSICS [VOLUME 1]>Chapter 18 - Geometrical Optics>EXERCISES>Q 67
A point object is placed on the principal axis of a convex lens (f=15 cm) at a distance of 30 cm from it. A glass plate (μ=1.50) of thickness 1 cm is placed on the other side of the lens perpendicular to the axis. Locate the image of the point object.
HARD
JEE Main
IMPORTANT
CONCEPTS OF PHYSICS [VOLUME 1]>Chapter 18 - Geometrical Optics>EXERCISES>Q 68
A convex lens of focal length 20 cm and a concave lens of focal length 10 cm are placed 10 cm apart with their principal axes coinciding. A beam of light travelling parallel to the principal axis and having a beam of diameter 5.0 mm, is incident on the combination. Show that the emergent beam is parallel to the incident one. Find the beam diameter of the emergent beam.
HARD
JEE Main
IMPORTANT
CONCEPTS OF PHYSICS [VOLUME 1]>Chapter 18 - Geometrical Optics>EXERCISES>Q 69
A diverging lens of focal length 20 cm and a converging lens of focal length 30 cm are placed 15 cm apart with their principal axes coinciding. Where should an object be placed on the principal axis so that its image is formed at infinity?
HARD
JEE Main
IMPORTANT
CONCEPTS OF PHYSICS [VOLUME 1]>Chapter 18 - Geometrical Optics>EXERCISES>Q 70
A 5 mm high pin is placed at a distance of 15 cm from a convex lens of focal length 10 cm. A second lens of focal length 5 cm is placed 40 cm from the first lens and 55 cm from the pin. Find
(a) the position of the final image,
(b) its nature and
(c) its size.