$A$ double slit experiment is performed with light of wavelength $500\, nm$. $A$ thin film of thickness $2\, \mu m$ and refractive index $1.5$ is introduced in the path of the upper beam. The location of the central maximum will

  • A
    Remain unshifted
  • B
    Shift downward by nearly two fringes
  • C
    Shift upward by nearly two fringes
  • D
    Shift downward by $10$ fringes

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