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JIPMER2012PhysicsRay Optics

The two lenses of an achromatic doublet should have

Options

  1. Aequal powers
  2. Bequal dispersive powers
  3. Cequal ratio of their power and dispersive power
  4. Dsum of the product of their powers and dispersive power equal to zero

Correct answer

D. sum of the product of their powers and dispersive power equal to zero

Step-by-step solution

An achromatic doublet is a pair of two lenses such that the combination does not split light into its constituent colors. Therefore, the net dispersive power of the system must be zero. The mathematical condition then becomes that sum of product of their powers and dispersive powers equal to zero.

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