Welcome to Westonci.ca, the place where your questions are answered by a community of knowledgeable contributors. Ask your questions and receive accurate answers from professionals with extensive experience in various fields on our platform. Experience the convenience of finding accurate answers to your questions from knowledgeable experts on our platform.
Sagot :
Answer:
Λ = 5.14 10⁻⁴ m
Explanation:
This is a double slit experiment, which for the case of constructive interference
d sin θ = m λ
let's use trigonometry
tan θ = y / L
as the angles are very small
tan θ = [tex]\frac{sin \theta}{cos \theta}[/tex] = sin θ
sin θ = y / L
we substitute
d y / L = m λ
y = m λ L / d
we calculate for the interference of order m = 5
y = 5 527 10⁻⁹ 1.54/0.102 10⁻³
y = 3.978 10⁻² m
Now we can find the difference in length between the two rays, that of the central maximum and this
let's use the Pythagorean theorem
L’= [tex]\sqrt{L^2 +y^2}[/tex]
L ’= [tex]\sqrt{1.54^2 +(3.978 \ 10^{-2})^2 }[/tex]
L ’= 1.54051 m
optical path difference
Λ = L’- L
Λ = 1.54051 - 1.54
Λ = 5.14 10⁻⁴ m
Thanks for using our service. We aim to provide the most accurate answers for all your queries. Visit us again for more insights. We hope this was helpful. Please come back whenever you need more information or answers to your queries. Stay curious and keep coming back to Westonci.ca for answers to all your burning questions.