MHT CET · Physics · Wave Optics
The path difference between two interfering light waves meeting at point on the screen is \(\left(\frac{87}{2}\right) \lambda\). The band obtained at that point is
- A 87th bright band
- B 44th dark band
- C 87th dark band
- D 44 th bright band
Answer & Solution
Correct Answer
(B) 44th dark band
Step-by-step Solution
Detailed explanation
Path difference \(=87\left(\frac{\lambda}{2}\right)\).
\(\therefore\) we get a dark point and \((2 n-1) \frac{\lambda}{2}=87\left(\frac{\lambda}{2}\right)\)
\(\therefore 2 n=88\)
\(\therefore \mathrm{n}=44\)
\(\therefore\) we get \(44^{\text {th }}\) dark band.
\(\therefore\) we get a dark point and \((2 n-1) \frac{\lambda}{2}=87\left(\frac{\lambda}{2}\right)\)
\(\therefore 2 n=88\)
\(\therefore \mathrm{n}=44\)
\(\therefore\) we get \(44^{\text {th }}\) dark band.
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