What is the formula for the angular position of the m-th order maximum in a double-slit experiment?
Practice Questions
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Q1
What is the formula for the angular position of the m-th order maximum in a double-slit experiment?
d sin θ = mλ
d cos θ = mλ
d tan θ = mλ
d = mλ/sin θ
The correct formula for the angular position of the m-th order maximum is d sin θ = mλ.
Questions & Step-by-step Solutions
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Q
Q: What is the formula for the angular position of the m-th order maximum in a double-slit experiment?
Solution: The correct formula for the angular position of the m-th order maximum is d sin θ = mλ.
Steps: 5
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: Recognize that the bright spots are called 'maxima' and they occur at specific angles.
Step 3: Identify the variables in the formula: 'd' is the distance between the two slits, 'θ' is the angle of the maximum from the central line, 'm' is the order of the maximum (0, 1, 2, ...), and 'λ' is the wavelength of the light used.
Step 4: The formula that relates these variables is d sin θ = mλ.
Step 5: This formula tells you how to find the angle θ for any order of maximum (m) based on the slit distance (d) and the wavelength (λ).