MCQ
In the visible region the dispersive powers and the mean angular deviations for crown and flint glass prisms are $\omega, \omega^{\prime}$ and $d, d$ respectively. The condition for getting deviation without dispersion when the two prisms are combined is
  • A
    $\sqrt{\omega d}+\sqrt{\omega^{\prime} d^{\prime}}=0$
  • B
    $\omega^{\prime} d+\omega d^{\prime}=0$
  • $\omega d+\omega^{\prime} d^{\prime}=0$
  • D
    $(\omega d)^2+\left(\omega^{\prime} d^{\prime}\right)^2=0$

Answer

Correct option: C.
$\omega d+\omega^{\prime} d^{\prime}=0$
$\theta_{\text {net }}=\theta+\theta^{\prime}=0 \Rightarrow \omega d+\omega^{\prime} d^{\prime}=0$
$\left(\theta=\right.$ Angular dispersion $\left.=\omega \cdot \delta_y\right)$

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