In the visible region the dispersive powers and the mean angular deviations for crown and flint glass prisms…

In the visible region the dispersive powers and the mean angular deviations for crown and flint glass prisms are $\omega, \omega^{\prime}$ and $d, d^{\prime}$ respectively. The condition of getting dispersion with zero deviation, when the two prisms are combined is
  1. $\sqrt{\omega d}+\sqrt{\omega^{\prime} d^{\prime \prime}}=0$
  2. $\omega^{\prime} d+\operatorname{\omega d}^{\prime \prime}=0$
  3. $\cos +\omega^{\prime} d^{\prime}=0$
  4. $(\omega d)^2+\left(\omega^{\prime} d^y\right)^2=0$

Solution

$\cos +\omega^{\prime} d^{\prime}=0$

Asked in: AP EAMCET 2001

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