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Q. If yellow light in the Youngs double slit experiment is replaced by red light the fringe width will:

JIPMERJIPMER 2002Wave Optics

Solution:

Using the relation for fringe width $ \beta =\frac{D\lambda }{2d} $ hence, $ \beta \propto \lambda $ Since, $ {{\lambda }_{red}}>{{\lambda }_{yellow}} $ Therefore using the red light in place of yellow light, fringe width will increase.