Q122 / 180 · NEET 2019 (Odisha) · Physics

In a Young's double slit experiment, if there is no initial phase-difference between the light from the two slits, a point on the screen corresponding to the fifth minimum has path difference.

  • A
    $5 \frac{\lambda}{2}$
  • B
    $10 \frac{\lambda}{2}$
  • Correct answer
    C
    $9 \frac{\lambda}{2}$
  • D
    $11 \frac{\lambda}{2}$

Solution

In a YDSE, the path difference for $\mathrm{n}$ th minima is given by $$ \Delta y=(2 n-1) \frac{\lambda}{2} $$ For 5 th minima, $\mathrm{n}=5$ $$ \therefore \quad \Delta y=[2(5)-1] \frac{\lambda}{2}=\frac{9 \lambda}{2} $$

Hence, the correct answer is option: 'C'.

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