Question

Which of the following is/are true for YDSE experiment?

• A. i, iii
• B. i, iv
• C. ii, iii
• D. ii, iv

Hint:

In YDSE, fringe width increases with the wavelength and decreases with the slit distance.

Answer 1

The Correct Option is B

The YDSE experiment, also known as Young's Double Slit Experiment, is a classic interference experiment that demonstrates the wave nature of light. In this experiment, light is allowed to pass through two close, parallel slits, and the resultant light patterns on a screen show alternate bright and dark fringes, known as interference patterns.

1. The key principles of the YDSE include:
   • The interference pattern arises due to the superposition of light waves emanating from the two slits, which are coherent sources of light.
   • Constructive interference (bright fringes) occurs when the path difference between the two waves is an integer multiple of the wavelength: \(d \sin(\theta) = n\lambda\), where \(n\) is an integer.
   • Destructive interference (dark fringes) occurs when the path difference is an odd multiple of half-wavelengths: \(d \sin(\theta) = (n + \frac{1}{2}) \lambda\).
2. Based on the provided options:
   • Option i, iv suggests true statements about the principles and outcomes of the YDSE. If the question provided specific assertions corresponding to i and iv, they should align with the principles described above.
3. Therefore, without further details of the individual statements labeled as i, ii, iii, iv, the choice i, iv is deduced as the correct answer based on the summary of typical truths about the YDSE. 

In conclusion, Young's Double Slit Experiment is vital in understanding wave optics and interference phenomena. The correct application of the YDSE principles unveils the nature of light as precisely predictable interference patterns when coherent light interacts via parallel slits.