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In a Young's double slit experiment with light of wavelength $\lambda ,$ fringe pattern on the screen has fringe width $\beta .$ When two thin transparent glass (refractive index $\mu$ ) 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
  $\frac{{\mu \beta }}{\lambda }\frac{{{t_1}}}{{{t_2}}}$
• ✓
  $\frac{{\beta \left( {\mu  - 1} \right)}}{\lambda }({t_1} - {t_2})$
• D
  $\frac{{\left( {\mu  - 1} \right)\lambda }}{\beta }({t_1} + {t_2})$