યંગના ડબલ સ્લીટના પ્રયોગમાં \(\lambda \) તીવ્રતા ધરાવતા પ્રકાશનો ઉપયોગ કરવામાં આવે છે જેની માટેના ત્રણ કિસ્સા નીચે આપેલા છે. પ્રયોગ પરથી \(y = \beta '\) મળે છે તો આપત થયેલા પ્રકાશની તરંગલંબાઈ _____ \(nm\) હશે.

A \(520\)
B \(540\)
C \(560\)
D \(580\)

Verified Solution

Answer & Solution

Correct Answer

(B) \(540\)

Step-by-step Solution

Detailed explanation

Given \(t=1.8 \times 10^{-6} \mathrm{m}\) \(\mu=1.6\) \(\mathrm{n}=2(\text { from figure })\) Applying formula \((\mu-1) \mathrm{t}=\mathrm{n} \lambda\) \((1.6-1) \times 1.8 \times 10^{-6}=2 \lambda\) or, \({\lambda = \frac{{1.8 \times {{10}^{ - 6}} \times 0.6}}{2}}\)…

Apply the relevant identity from the chapter and substitute the values established in the previous step, keeping the original constraint in view.

Use the simplified expression to isolate the unknown, then plug the result back into the question setup to confirm the working is internally consistent.

Cross-check against a boundary or limiting case. Both the dimensional balance and the qualitative behaviour at the extreme should agree with the candidate answer.

Combine the steps above to identify the correct option. The remaining choices each fail at least one of the consistency, dimensional, or boundary checks.

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