યંગના પ્રયોગમાં \(700\,nm\) તરંગલંબાઈ વાપરતા અમુક વિસ્તારમાં \(16\) શલાકા મળે છે તો \(400\,nm\) ની તરંગલંબાઈ વાપરતા તેટલા જ વિસ્તારમાં કેટલી શલાકા મળે.

A \(28\)
B \(24\)
C \(18\)
D \(30\)

Verified Solution

Answer & Solution

Correct Answer

(A) \(28\)

Step-by-step Solution

Detailed explanation

Let the length of segment is " \(\ell^{\prime \prime}\) Let \(N\) is the no. of fringes in " \(\ell^{\prime \prime}\) and \(w\) is fringe width. \(\rightarrow\) We can write \(N w =\ell\) \(N \left(\frac{\lambda D }{ d }\right)=\ell\) \(\frac{N_{1} \lambda_{1} D}{d}=\ell\)…

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.

Same subject

Explore more questions on app

From JEE Mains

Explore more questions on app