Youngs Double Slit Experiment

To find the angular separation of the first-order bright fringe in a double-slit experiment, we proceed as follows:

Use the formula for the angular position of the $m$ -th bright fringe: $%5Csin%20%5Ctheta%20%3D%20%5Cfrac%7Bm%20%5Clambda%7D%7Bd%7D.$
For the first-order fringe, set $m%20%3D%201$ .
Given: wavelength $%5Clambda%20%3D%20600%20%5C%2C%20%5Ctext%7Bnm%7D$ , slit separation $d%20%3D%200.2%20%5C%2C%20%5Ctext%7Bmm%7D$ .
Convert units to meters for consistency: $%5Clambda%20%3D%20600%20%5C%2C%20%5Ctext%7Bnm%7D%20%3D%20600%20%5Ctimes%2010%5E%7B-9%7D%20%5C%2C%20%5Ctext%7Bm%7D%20%3D%206%20%5Ctimes%2010%5E%7B-7%7D%20%5C%2C%20%5Ctext%7Bm%7D%2C$ $d%20%3D%200.2%20%5C%2C%20%5Ctext%7Bmm%7D%20%3D%200.2%20%5Ctimes%2010%5E%7B-3%7D%20%5C%2C%20%5Ctext%7Bm%7D%20%3D%202%20%5Ctimes%2010%5E%7B-4%7D%20%5C%2C%20%5Ctext%7Bm%7D.$
Calculate $%5Csin%20%5Ctheta$ : $%5Csin%20%5Ctheta%20%3D%20%5Cfrac%7B1%20%5Ctimes%206%20%5Ctimes%2010%5E%7B-7%7D%7D%7B2%20%5Ctimes%2010%5E%7B-4%7D%7D%20%3D%203%20%5Ctimes%2010%5E%7B-3%7D.$
For small angles, use the approximation $%5Csin%20%5Ctheta%20%5Capprox%20%5Ctheta$ (in radians), so: $%5Ctheta%20%5Capprox%203%20%5Ctimes%2010%5E%7B-3%7D%20%5C%2C%20%5Ctext%7Bradians%7D.$
Convert radians to degrees: $%5Ctheta_%7B%5Ctext%7Bdegrees%7D%7D%20%3D%203%20%5Ctimes%2010%5E%7B-3%7D%20%5Ctimes%20%5Cfrac%7B180%7D%7B%5Cpi%7D%20%5Capprox%203%20%5Ctimes%2010%5E%7B-3%7D%20%5Ctimes%2057.296%20%5Capprox%200.1719%5E%5Ccirc.$
Compare with options: 0.1719° is rounded to 0.172°.

Thus, the correct answer is: $%5Cboxed%7B0.172%5E%5Ccirc%7D$

About Youngs Double Slit Experiment - JEECUP

Youngs Double Slit Experiment is a vital chapter for JEECUP aspirants. Mastering the concepts covered in this chapter is essential for securing a top rank.

By rigorously practicing the previous year questions associated with this chapter, you can identify high-yield topics, understand the examiner's perspective, and boost your confidence during the actual exam.

Frequently Asked Questions

Why focus on Youngs Double Slit Experiment PYQs?

Analyzing PYQs for this specific chapter reveals the most frequently tested concepts and the typical complexity of questions, allowing you to tailor your study plan efficiently.

How to best use this analysis?

Review the topic breakdown to see which sub-topics within Youngs Double Slit Experiment carry the most weight. Then, tackle the questions iteratively to solidify your understanding.

High-Yield Trend

Chapter Questions
1 MCQs

Official Solution

About Youngs Double Slit Experiment - JEECUP

Frequently Asked Questions

Why focus on Youngs Double Slit Experiment PYQs?

How to best use this analysis?

Youngs Double Slit Experiment

High-Yield Trend

Chapter Questions 1 MCQs

Official Solution

About Youngs Double Slit Experiment - JEECUP

Frequently Asked Questions

Why focus on Youngs Double Slit Experiment PYQs?

How to best use this analysis?

Chapter Questions
1 MCQs