Wave Interference

Step 1: Understanding the Concept:
Angular fringe width , where is slit separation.

Step 2: Detailed Explanation:
. If is halved ( ), then

Step 3: Final Answer:
Angular separation becomes .

Concept:

Step 1: Effect of medium.


Step 2: New fringe width.

Step 1: Use the formula for fringe width in Young's Double Slit Experiment.
The fringe width is given by the formula: where is the wavelength of the light, is the distance between the screen and the slits, and is the distance between the slits.
Step 2: Calculate the new fringe width.
Let be the fringe width when is used. When the wavelength is changed to , the new fringe width is related to the initial fringe width by: Substitute the known values: Thus, when light of wavelength 500nm is used, the fringe width becomes:

Step 1: Understanding the Concept
In wave interference, the intensity at any point depends on the phase difference between the two waves. The path difference provided by the setup can be converted into a phase difference.

Step 2: Key Formula or Approach
1. Phase difference ( ) = (where is path difference).
2. Intensity .

Step 3: Detailed Explanation
1. Find Phase Difference: Given .
2. Calculate Intensity Ratio:
3. Result:

Step 4: Final Answer
The ratio is 3/4.