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Two prisms A and B in contact with each other. The dispersive power of A and B is 0.04 and 0.03 respectively. The angular dispersion produced by ‘A’ is 8°. The angular dispersion produced by the combination. If the combination does not produce a net deviation is

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14°

8°

6°

2°

answer is D.

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Detailed Solution

$\begin{array}{l} ω_{1} = \frac{{Δθ}_{1}}{d_{1}} \Rightarrow Δθ = ω_{1} \times d_{1}; {Δθ}_{2} = ω_{2} \times d_{2} \\ Δθ = {Δθ}_{1} + {Δθ}_{2} = ω_{1} d_{1} + ω_{2} d_{2} = d_{1} (ω_{1} - ω_{2}) \end{array}$

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