MCQ
The path difference between two interfering light waves meeting at a point on the screen is $\left(\frac{87}{2}\right) \lambda$. The band obtained at that point is
  • A
    $87^{\text {th }}$ dark band
  • $44^{\text {th }}$ dark band
  • C
    $44^{\text {th }}$ bright band
  • D
    $87^{\text {th }}$ bright band

Answer

Correct option: B.
$44^{\text {th }}$ dark band
(b) : Path difference $=87\left(\frac{\lambda}{2}\right)$
For dark point, $(2 n-1) \frac{\lambda}{2}=87\left(\frac{\lambda}{2}\right)$
$
2 n-1=87 \Rightarrow 2 n=88
$
$n=44^{\text {th }}$ dark band

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