question_answer

In a Young's double slit experiment with light of wavelength \[\beta \], fringe pattern on the screen has fringe width\[\beta \]. When two thin transparent glass (refractive index u) plates of thickness\[{{t}_{1}}\] and\[{{t}_{2}}\]\[({{t}_{1}}>{{t}_{2}})\] are placed in the path of the two beams respectively, the fringe pattern will shift by a distance

A) \[\frac{\beta (\mu -1)}{\lambda }\left( \frac{{{t}_{1}}}{{{t}_{2}}} \right)\]

B) \[\frac{\mu \beta }{\lambda }\frac{{{t}_{1}}}{{{t}_{2}}}\]

C) \[\frac{\beta (\mu -1)}{\lambda }({{t}_{1}}-{{t}_{2}})\]

D) \[(\mu -1)\frac{\lambda }{\beta }({{t}_{1}}+{{t}_{2}})\]