$A$ thin glass prism of angle $9^{\circ}$ with refractive index $1.4$ is combined with another glass prism of refractive index $1.6$ as shown in the figure. The combination of the prisms provides dispersion without deviation. Determine the angle $(A)$ of the second prism. (in $^{\circ}$)

  • A
    $9$
  • B
    $12$
  • C
    $6$
  • D
    $4$

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