A cylindrical capacitor is made of two thin-walled concentric cylinders. The inner cylinder has radius 8 mm , and the outer one
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Answer:
a) the pattern is bright, b) y = 8.25 mm, c) the distance increases with the wavelength increases
Explanation:
This is a team building exercise to perform interference experiments, where the separation of the slits is d = 1 m = 1 10⁻³ m and the distance to the screen L = 1.5 m
Constructive interference occurs when the path difference is equal to an integer number of wavelengths
d sin θ = m λ
a) The center of the two-ray pattern has the same length so the intensity is MAXIMUM, that is, the pattern is bright
b) to find the distance let's use trigonometry
tan θ= y / L
tan θ =sin θ/cos θ= sin θ
because the angles are small
we substitute
y =
let's calculate
y = 10 550 10⁻⁹ 1.5 / 1 10⁻³
y = 8.25 10⁻³ m
c) for this part the incident light must be white or polychrome light
let's find the distance (y) for some colors, in the first order
Violet λ = 400
y = 1 400 10⁻⁹ 1.5 / 1 10⁻³
y = 6 10⁻⁴ m
green λ = 500 nm
y = 1 500 10⁻⁹ 1.5 / 1 10⁻³
y = 7.5 10⁻⁴ m
yellow λ = 600 nm
y = 1 600 10⁻⁹ 1.5 / 1.10⁻³
y = 9 10⁻⁴ m
lam λ = 700 nm
y = 1 700 10⁻⁹ 1.5 / 1. 10⁻³
y = 1.05 10⁻³ m
violet, green, orange, red
the distance increases with the wavelength increases
d) To find the wavelength we must measure the distance y from the center of the slit for various interference orders and using the equation we can find the wavelength of rationality
Answer:
(a) the force is 8.876 N
(b) the magnitude of each charge is 4.085 μC
Explanation:
Part (a)
Given;
coulomb's constant, K = 8.99 x 10⁹ N.m²/C²
distance between two charges, r = 10 cm = 0.1 m
force between the two charges, F = 15 N
when the distance between the charges changes to 13 cm (0.13 m)
force between the two charges, F = ?
Apply Coulomb's law;
Part (b)
the magnitude of each charge, if they have equal magnitude
where;
F is the force between the charges
K is Coulomb's constant
Q is the charge
r is the distance between the charges