Interference fringes are observed on a screen by illuminating two thin slits 1 mm apart with a light source \left ( \lambda = 632.8\; nm \right ). The distance between the screen and the slits is 100 cm. If a bright fringe is observed on a screen at a distance of 1.27 mm from the central bright fringe, then the path difference between the waves, which are reaching this point from the slits is close to:
Option: 1 1.27 \;\mu m
 
Option: 2 2.87 \;n m
Option: 3 2 \;n m  
Option: 4 2.05 \;\mu m

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