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PhysicsMatrix match+6Question 43 of 66

IIT-JEE 2008 · Paper 2, Physics question 43

An optical component and an object S placed along its optic axis are given in Column I. The distance between the object and the component can be varied. The properties of images are given in Column II. Match all the properties of images from Column II with the appropriate components given in Column I. Indicate your answer by darkening the appropriate bubbles of the 4 × 4 matrix given in the ORS.

Column I

  • A
    (component A)
    Object S on the axis in front of a concave mirror (mirror curving towards the object, silvered at the back).
  • B
    (component B)
    Object S on the axis in front of a convex mirror (mirror bulging towards the object, silvered at the back).
  • C
    (component C)
    Object S on the axis to the left of a thin biconvex (converging) lens.
  • D
    (component D)
    Object S on the axis to the left of a concavo-convex (meniscus) lens, thicker in the middle (converging).

Column II

  • P
    Real image
  • Q
    Virtual image
  • R
    Magnified image
  • S
    Image at infinity
Mark every match for each entry
PQRS
A
B
C
D
Answer and worked solution

Official answer: A → P, Q, R, S; B → Q; C → P, Q, R, S; D → P, Q, R, S

  • A, concave mirror. Object beyond F: real image (magnified between F and C); at F: image at infinity; inside F: virtual, magnified image. → P, Q, R, S.
  • B, convex mirror. Always a virtual, diminished image. → Q.
  • C, convex lens. Like the concave mirror: real (magnified between F and 2F), at infinity (object at F), virtual and magnified (inside F). → P, Q, R, S.
  • D, converging meniscus lens (thicker in the middle): a converging lens, so the same as C. → P, Q, R, S.

Answer: A → P, Q, R, S; B → Q; C → P, Q, R, S; D → P, Q, R, S