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Dispersion and Spectra — Physics STD 12 Science — Question

Rajasthan BoardEnglish MediumSTD 12 SciencePhysicsDispersion and Spectra1 Mark
Question
By properly combining two prisms made of different materials, it is possible to:
  1. Have dispersion without average deviation.
  2. Have deviation without dispersion.
  3. Have both dispersion and average deviation.
  4. Have neither dispersion nor average deviation.
✓

Answer

  1. ​​​​​​Have dispersion without average deviation.
  2. Have deviation without dispersion.
  3. Have both dispersion and average deviation.
Explanation:
Consider the case of prisms combined such that the refractive angles are reversed w.r.t. each other. Then, the net deviation of the yellow ray will be,
$\delta_\text{y}=(\mu_\text{y}-1)\text{A}-(\mu_\text{y}'-1)\text{A}'$
And, the net angular dispersion will be
$\delta_\text{y}-\delta_\text{r}=(\mu_\text{y}-1)\text{A}(\omega-\omega')$
Thus, by choosing appropriate conditions, we can have the above mentioned cases.

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