Single Slit Diffraction Problem?

In summary, the problem involves monochromatic light of wavelength 441 nm passing through a narrow slit and creating a diffraction pattern on a screen 2.16m away. The distance between the second minimum and central maximum is 1.62 cm. Using the formula dsin(theta) = m*lambda, the angle of diffraction for the second minimum can be calculated. Using the given values, the width of the slit can also be determined.
  • #1
abrowaqas
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Homework Statement



Monochromatic light of wavelength 441 nm falls on a narrow slit. on a screen 2.16m away, the distance between the second minimum and the central maximum is 1.62 cm. a) calculate the angle of diffraction thetta of the second minimum. b) find the width of the slit? Rensick Halliday 5th edition. page no. 977

Homework Equations



dsin(theeta) = m lamda(wavelendth)

The Attempt at a Solution

 
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  • #2
In your formula, since we're talking about the second minimum, m = 2*(2*pi) (since interference happens every deltaS = 2pi*lambda) .
And sin(theta) =~ 1.62cm / 2.16m. From that you should get the results.
 
  • #3
Thanks . yes i tried it... its solved
 

Related to Single Slit Diffraction Problem?

1. What is single slit diffraction?

Single slit diffraction is a phenomenon that occurs when light passes through a narrow slit and spreads out, creating a diffraction pattern on a screen.

2. How does single slit diffraction occur?

Single slit diffraction occurs when light waves pass through a narrow opening and interfere with each other, creating a pattern of light and dark bands on a screen.

3. What factors affect the diffraction pattern in a single slit diffraction experiment?

The width of the slit, the wavelength of the light, and the distance between the slit and the screen all affect the diffraction pattern in a single slit diffraction experiment.

4. What is the equation for calculating the position of the bright fringes in a single slit diffraction pattern?

The equation for calculating the position of the bright fringes in a single slit diffraction pattern is: d sinθ = mλ, where d is the width of the slit, θ is the angle between the central maximum and the fringe, m is the order of the fringe, and λ is the wavelength of the light.

5. How is single slit diffraction used in real-world applications?

Single slit diffraction is used in various real-world applications, such as in spectroscopy to analyze the composition of materials, in CD and DVD players to read data from discs, and in astronomy to study the diffraction of light from distant stars and galaxies.

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