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MHT CET202613 April 2026Evening ShiftPhysicsWave OpticsActual

In Young's double slit experiment, following figure shows that Q is the position of second bright fringe on the right side of point O . P is the eleventh bright fringe on the other side measured from point Q . If the wavelength of light used is 6000 Å, then what will be the value of S₁ B ?

Options

  1. A3.142 10⁻⁷ m
  2. B3.138 10⁻⁷ m
  3. C6.6 10⁻⁶ m
  4. D5.4 10⁻⁶ m

Correct answer

D. 5.4 10⁻⁶ m

Step-by-step solution

Let the central maximum be at point O with path difference x_O = 0 . The point Q is the second bright fringe on one side of O . The path difference at Q is: x_Q = 2 The point P is the eleventh bright fringe on the other side, measured from point Q . This means the distance between Q and P corresponds to 11 fringe widths. Since P is on the other side of the central maximum, its position in terms of path difference is: x_P = 2 - 11 = -9 The magnitude of the path difference at P is 9 . From the given figure, S₂B is pe

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