Angular width of Refracted Beam!

A beam of light has a small wavelength spread \(\delta \lambda\) about a central wavelength \(\lambda\). The beam travels in vacuum until it enters a glass plate at an angle \(\theta\) relative to the normal to the plate, as shown in the figure. The index of refraction of the glass is given by \(n(\lambda)\). The angular spread \(\delta \theta '\) of the refracted beam is given by?

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