Answer:
0.036J
Explanation:
Given parameters:
Spring constant , K = 92N/m
Compression = 2.8cm = 0.028m
Unknown:
Potential energy = ?
Solution:
To solve this problem;
P.E =
K e²
K is the spring constant
e is the compression
so;
P.E =
x 92 x 0.028² = 0.036J
Answer:
3.44 W/m²
1.134 J
Explanation:
E₀ = Intensity of electric field = 50.9 V/m
I = Intensity of electromagnetic wave
Intensity of electromagnetic wave is given as
I = (0.5) ε₀ E₀² c
I = (0.5) (8.85 x 10⁻¹²) (50.9)² (3 x 10⁸)
I = 3.44 W/m²
A = Area = 0.0277 m²
t = time interval = 11.9 s
Amount of energy is given as
U = I A t
U = (3.44) (0.0277) (11.9)
U = 1.134 J
To solve this problem it is necessary to apply the concepts related to the concept of superposition and the fringe separation for double slit experiment.
The equation can be written as

Where
= Distance between fringes
x = distance between slits and screen
d = Distance between slits
= Wavelength
Our values are given as
d= 0.08mm
x =3m

In this way replacing in the equation,




Therefore the distance between the fringes is 2.37cm
PART B) For the case in which it is submerged in water it is necessary to apply the relationship of the fringes with the index of refraction therefore



We can find the answer step-by-step:
1) The electric charges on a conductor must lie entirely on its surface. This is because the charges have same sign, so the force acting between each other is repulsive therefore the charges must be as far apart as possible, i.e. on the surface of the conductor.
2) We consider a cylinder perpendicular to the surface of the conductor, that crosses the surface with its section. We then apply Gauss law, which states that the flux of the electric field through this cylinder is equal to the total charge inside it divided the electrical permittivity:

3) The electric field outside the surface is perpendicular to the surface itself (otherwise there would be a component of the electric force parallel to the surface, which would move the charge, violating the condition of equilibrium). The electric field inside the conductor is instead zero, because otherwise charges would move violating again equilibrium condition. Therefore, the only flux is the one crossing the section A of the cylinder outside the surface:

4) The total charge contained in the cylinder is the product between the section, A, and the charge density

on the surface of the conductor:

5) Substituting the flux and the charge density inside Gauss law, we can find the electric field just outside the surface of the conductor:

therefore
The amount of water given is a control. D) because, if a plant grows bigger as a result of the water, and not the sun this would disrupt the experiment.