Question

Two coherent sources of wavelength \(\lambda\) produce steady interference pattern. The path difference corresponding to \(10^{\text{th}}\) order maximum will be

• A. 9.5\(\lambda\)
• B. 10.5\(\lambda\)
• C. 9\(\lambda\)
• D. 10\(\lambda\)

Hint:

For maxima: path difference = \(n\lambda\) (\(n = 0,1,2,\ldots\)). For minima: path difference = \((2n-1)\lambda/2\).

Answer 1

The Correct Option is D

Step 1: Understanding the Question:
We need path difference for \(10^{\text{th}}\) order maximum in interference pattern.

Step 2: Key Formula or Approach:
For constructive interference (maximum), path difference = \(n\lambda\), where \(n = 0,1,2,\ldots\)

Step 3: Detailed Explanation:
\(n = 0\) is central maximum (zeroth order). \(n = 1\) is first order maximum. Thus \(n = 10\) corresponds to \(10^{\text{th}}\) order maximum. Path difference = \(10\lambda\).

Step 4: Final Answer:
Option (D) is correct.