In Young's double slit experiment, the distance between the slits is $3 \text{ mm}$ and the slits are $2 \text{ m}$ away from the screen. Two interference patterns can be obtained on the screen due to light of wavelength $480 \text{ nm}$ and $600 \text{ nm}$ respectively. The separation on the screen between the $5^{th}$ order bright fringes of the two interference patterns is

  • A
    $2 \times 10^{-4} \text{ m}$
  • B
    $1 \times 10^{-4} \text{ m}$
  • C
    $8 \times 10^{-4} \text{ m}$
  • D
    $4 \times 10^{-4} \text{ m}$

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