A prism 'X' and another 'Y' are kept in contact with their refracting angles placed opposite to eac…

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A prism 'X' and another 'Y' are kept in contact with their refracting angles placed opposite to each other as shown in figure. White light is incident on the combination from the left. Column-I describes some situations. Match Column-I with the possible outcomes given in Column-II.

Column-IColumn-II(i) The prisms are made of same without material and their Refractingangles are equal i.e., A = A′.The combination will cause[A] Dispersion deviation(ii) The prisms are made of same material and their refracting angles are not equal, i.e., A ≠ A′. The combination will cause[B] No deviation(iii) The prisms are made of different materials and their refracting angles are equal, i.e., A = A′. Also the quantityμV – μR has different values for the two prisms. Here μV and μR are the refractive indices for violet and red colours. The combination will cause[C] No dispersion(iv) The prisms are made of different material and their refracting angles are unequal, i.e., A ≠ A′. Also = –, where μ is the refractive index for the mean wavelength (yellow) for the prism wavelength (yellow) for the prism X while μ′ is the corresponding value for prism Y. Thecombination will cause[D] Both deviation and    dispersion

CGP EDU Academic Team · Accepted Answer

The correct answer is D. Step 1: In the combination where the prisms have unequal refracting angles and are made of different materials, both deviation and dispersion will occur.  Step 2: For (i), since both prisms are made of the same material and have equal angles, they will cause [A] Dispersion deviation due to similar indices.  Step 3: In (ii), unequal angles with the same material would lead to [B] No deviation.  Step 4: For (iii), equal angles and different materials will lead to [C] No dispersion since indices are equalized in terms of mean wavelength.  Step 5: However, for (iv), with different materials and unequal angles, we see [D] Both deviation and dispersion, hence it is the correct answer.

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Column-I	Column-II
(i) The prisms are made of same without material and their Refractingangles are equal i.e., A = A′.The combination will cause	[A] Dispersion deviation
(ii) The prisms are made of same material and their refracting angles are not equal, i.e., A ≠ A′. The combination will cause	[B] No deviation
(iii) The prisms are made of different materials and their refracting angles are equal, i.e., A = A′. Also the quantity μV – μR has different values for the two prisms. Here μV and μR are the refractive indices for violet and red colours. The combination will cause	[C] No dispersion
(iv) The prisms are made of different material and their refracting angles are unequal, i.e., A ≠ A′. Also = –, where μ is the refractive index for the mean wavelength (yellow) for the prism wavelength (yellow) for the prism X while μ′ is the corresponding value for prism Y. The combination will cause	[D] Both deviation and dispersion

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