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If f_v and f_r are the focal lengths of a convex lens for violet and red light respectively and F_v and F_r are the focal lengths of concave lens for violet and red light respectively, then we have

  1. f_v < f_r and F_v > F_r
  2. f_v > f_r and F_v < F_r
  3. f_v > f_r and F_v > F_r
  4. f_v < f_r and F_v < F_r

Correct answer: f_v < f_r and F_v > F_r

Solution

For a convex lens, the focal length for violet light (f_v) is shorter than for red light (f_r) due to greater refraction of violet light. For a concave lens, the focal length for violet light (F_v) is longer than for red light (F_r) for the same reason. Hence, the correct option is A.

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