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(D) Prism $B$ is inverted relative to prism $A$. Thus,the dispersion of light caused by prism $A$ and $B$ occurs in opposite directions.For the emerge

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prism $A$ is filled with hot water $(70^{\circ} C)$ and prism $B$ with cold water $(7^{\circ} C)$

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(D) Prism $B$ is inverted relative to prism $A$. Thus,the dispersion of light caused by prism $A$ and $B$ occurs in opposite directions.For the emergent beam to be white,the net deviation and net dispersion produced by the combination must be zero. This requires the refractive indices of the liquids in both prisms to be identical,which happens if both prisms are at the same temperature.If the prisms are at different temperatures,their refractive indices will differ because the refractive index of water is temperature-dependent. Consequently,the dispersion produced by prism $A$ will not be perfectly cancelled by prism $B$.In option $(d)$,prism $A$ is at $70^{\circ} C$ and prism $B$ is at $7^{\circ} C$. Since their refractive indices are different,the dispersion produced by $A$ and $B$ are not equal and opposite. Hence,the beam to the right of prism $B$ will remain dispersed and appear coloured.

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