Diffraction Numerical Problem No.1 - Diffraction - Engineering Physics 2

TL;DR

This video provides an analysis of a numerical problem involving a single slit diffraction pattern and the calculation of the distance between the first dark and the next bright fringe.

Transcript

click the bell icon to get latest videos from ekeeda hello friends so today we are going to do a numerical on a single slit diffraction pattern here is a numerical a slit width of 0.3 millimeter is eliminated by a light of wavelength 5890 angstroms a lens with focal length 40 centimeters is used find the distance between first dark and the next bri... Read More

Key Insights

• 🔂 The width of the central maxima in a single slit diffraction pattern is determined by the first minima on either side.
• ☺️ The distance between the first dark and the next bright fringe can be calculated using the equation x = lambda * d / b.
• 🙂 The lens helps in focusing the diffracted light and determining the distance between fringes.
• ☺️ The value of x, the distance between fringes, in the given numerical problem is 0.0785 centimeters.
• 🏑 Understanding the principles of diffraction patterns is essential in various fields of physics and optics.
• 🙂 The wavelength of the light used in the numerical problem is 5890 angstroms.
• ❓ The width of the slit is given as 0.3 millimeters.

Questions & Answers

Q: What is the purpose of the lens with a focal length of 40 centimeters in the setup?

The lens is used to focus the diffracted light from the single slit and help in determining the distance between the first dark and the next bright fringe.

Q: What is the equation used to calculate the distance between the first dark and the next bright fringe?

The equation is x = lambda * d / b, where x is the distance, lambda is the wavelength of light, d is the distance between the slit and the screen, and b is the width of the slit.

Q: What is the condition for the first minima in a diffraction pattern?

The condition is given by b * sin(theta) = lambda, where b is the width of the slit, theta is the angle of diffraction, and lambda is the wavelength of light.

Q: How can the angle theta be approximated?

In this case, theta can be approximated as theta = tan(theta) = x / d, where x is the distance between the first dark and the next bright fringe, and d is the distance between the slit and the screen.

Summary & Key Takeaways

• The video discusses a numerical problem related to a single slit diffraction pattern using a light of wavelength 5890 angstroms and a lens with a focal length of 40 centimeters.

• The width of the central maxima in the diffraction pattern is determined by the first minima on either side.

• The distance between the first dark and the next bright fringe can be calculated using the equation x = lambda * d / b.