In an ideal Young's double-slit experiment,a glass plate of thickness $t$ and refractive index $\mu = 1.5$ is placed in the path of one of the interfering beams. If the central bright fringe shifts to the position originally occupied by the first bright fringe (corresponding to wavelength $\lambda$),then the minimum thickness $t$ of the glass plate is:

  • A
    $2\lambda$
  • B
    $\frac{2\lambda}{3}$
  • C
    $\frac{\lambda}{3}$
  • D
    $\lambda$

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