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Question: Answered & Verified by Expert
The focal length of a thin convex lens for red and blue rays are 100 cm and 96.8 cm respectively. Then, the dispersive power of the material of the lens is
PhysicsRay OpticsBITSATBITSAT 2017
Options:
  • A 0.968
  • B 0.98
  • C 0.0325
  • D 0.325
Solution:
1450 Upvotes Verified Answer
The correct answer is: 0.0325

Dispersive power is ratio of angular dispersion and mean deviation.

It can be written in terms of focal length as,

ω=fr-fbfy

Here fr=100 cm

fb=96.8 cm

fy=fb×fr

=96.8×100

98.34 cm

Dispersive power

ω=fr-fbfy

=100-96.898.34

0.0325
Hence, the dispersive power of the material of the lens is 0.0325.

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