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⚛️ Physics  ·  Ray Optics and Optical Instruments  ·  NEET & JEE

In an achromatic doublet, two lenses of different materials are combined to eliminate chromatic aberration. Condition:

Answer: omega 1 /f 1 + omega 2 /f 2 = 0.

  • A f<sub>1</sub> = f<sub>2</sub>
  • B omega<sub>1</sub>/f<sub>1</sub> + omega<sub>2</sub>/f<sub>2</sub> = 0
  • C omega<sub>1</sub> x f<sub>1</sub> = omega<sub>2</sub> x f<sub>2</sub>
  • D omega<sub>1</sub> = omega<sub>2</sub>

Correct answer: B. omega<sub>1</sub>/f<sub>1</sub> + omega<sub>2</sub>/f<sub>2</sub> = 0

Explanation: Achromatic doublet condition: omega<sub>1</sub>/f<sub>1</sub> + omega<sub>2</sub>/f<sub>2</sub> = 0, where omega is the dispersive power of each glass material.

Concave mirror ray diagram with an object drawn as a candle on the principal axis, the focal point F marked, and the parallel ray and focal ray reflecting to form an inverted real image

Concave mirror ray construction: a ray parallel to the axis reflects through F, and a ray through F reflects parallel, locating the inverted real image. Image: Maxmath12, CC0, via Wikimedia Commons.

Concept context

Reflection, refraction, lenses, mirrors, total internal reflection.

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