Respuesta :
Answer:
a) y_total = 19.916 10⁻⁵ m , b) Δθ = 1.91 10-⁻³ rad
Explanation
This is a diffraction exercise that is described by the expression
a sin θ = m λ
the first minimum occurs for m = 1
a sin θ = λ
sin θ = λ / a
θ = sin⁻¹ (633 10⁻⁹ / 0.330 10⁻³)
θ = 1.918 10⁻³ rad
let's use trigonometry
tan θ = y / x
y = x tan θ
y = 2.55 tan (3.936 10-3)
y = 5.75 10⁻- m
this value is from the central maximum to one extreme of the value,
y_ total = 2 y
y_total = 2 (5.75e1)
y_total = 19.916 10⁻⁵ m
b) For the second point and constructive inference we have m = 2
sin θl = m λ
θ = sin⁻¹ (lat / a)
θ = sin⁻¹ (2 633 10-9 / 0.33010-3) = son-1 (3.836 10-3)
θ = 3.84 10-3 give
The width of this maximum is
Δθ = 1.3 10-3
Δθ = 3.84 10⁻³- 1.918 10⁻³
Δθ = 1.91 10-⁻³ rad
