What is the formula for the angular position of the first minimum in a double-slit diffraction pattern?
Practice Questions
1 question
Q1
What is the formula for the angular position of the first minimum in a double-slit diffraction pattern?
d sin(θ) = mλ
d sin(θ) = (m + 1/2)λ
d sin(θ) = (m - 1/2)λ
d sin(θ) = 2mλ
The angular position of the first minimum in a double-slit diffraction pattern is given by d sin(θ) = mλ, where m = 1 for the first minimum.
Questions & Step-by-step Solutions
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Q
Q: What is the formula for the angular position of the first minimum in a double-slit diffraction pattern?
Solution: The angular position of the first minimum in a double-slit diffraction pattern is given by d sin(θ) = mλ, where m = 1 for the first minimum.
Steps: 6
Step 1: Understand that in a double-slit experiment, light passes through two slits and creates a pattern of bright and dark spots on a screen.
Step 2: The bright spots are called maxima, and the dark spots are called minima.
Step 3: The formula for the position of these spots involves the distance between the slits (d), the angle (θ) from the center to the spot, and the wavelength of the light (λ).
Step 4: The general formula for the position of minima is d sin(θ) = mλ, where m is the order of the minimum.
Step 5: For the first minimum, we set m = 1 in the formula.
Step 6: Therefore, the formula for the angular position of the first minimum is d sin(θ) = 1λ.
