સિંગલ સ્લીટના પ્રયોગમાં વિવર્તન ભાતમાં લાલ રંગ માટેનું પ્રથમ ન્યૂનતમ બીજી તરંગલંબાઈના પ્રથમ મહત્તમ સાથે સંપાત થાય છે. જો લાલ રંગની તરંગલંબાઈ \(6600\,\mathop A\limits^o\) હોય તો પ્રથમ મહત્તમની તરંગલંબાઈ (\(\mathop A\limits^o \) માં) કેટલી હશે?

A \(3300\)
B \(4400\)
C \(5500\)
D \(6600\)

Verified Solution

Answer & Solution

Correct Answer

(B) \(4400\)

Step-by-step Solution

Detailed explanation

In a single slit experiment, For diffraction maxima, \(a\sin \theta = \left( {2n + 1\frac{\lambda }{2}} \right)\) and for diffraction minima, \(a \sin \theta=n \lambda\) According to question, \(\left(2 \times 1+1 \frac{\lambda}{2}\right)=1 \times 6600\)…

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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