In a single-slit diffraction pattern, what is the angular position of the first

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Question: In a single-slit diffraction pattern, what is the angular position of the first minimum?

Options:

Correct Answer: sin(θ) = λ/a

Solution:

The first minimum in a single-slit diffraction pattern occurs at sin(θ) = λ/a, where a is the width of the slit.

In a single-slit diffraction pattern, what is the angular position of the first minimum?

In a single-slit diffraction pattern, what is the angular position of the first minimum?

Step 1: Understand that a single-slit diffraction pattern is created when light passes through a narrow slit.
Step 2: Know that the first minimum in the diffraction pattern is where the light intensity is at its lowest.
Step 3: The position of this first minimum is determined by the formula sin(θ) = λ/a.
Step 4: In this formula, λ (lambda) represents the wavelength of the light used, and a is the width of the slit.
Step 5: To find the angular position (θ) of the first minimum, you need to know the values of λ and a.
Step 6: Once you have λ and a, you can calculate sin(θ) and then use the inverse sine function to find θ.

Single-Slit Diffraction – The phenomenon where light spreads out after passing through a narrow slit, creating a pattern of light and dark fringes.
Angular Position of Minima – The specific angles at which destructive interference occurs in a diffraction pattern, leading to dark spots.
Wavelength and Slit Width Relationship – The relationship between the wavelength of light (λ) and the width of the slit (a) that determines the position of minima in the diffraction pattern.