To solve this problem it is necessary to apply the concepts related to the condition of path difference for destructive interference between the two reflected waves from the top and bottom of a surface.
Mathematically this expression can be described under the equation
Where
n = Refractive index
t = Thickness
In terms of the wavelength the path difference of the reflected waves can be described as
Where
\lambda = Wavelenght
Equation the two equations we have that
Our values are given as
Wavelength of light
Therefore the minimum thickness of the oil for destructive interference to occur is approximately 34.0 nm
Answer:
The initial velocity is 12.34[m/s]
Explanation:
To understand this problem, let's draw a sketch of what is happening. In the attached image we can fin de sketch.
According to the equations of uniform movement accelerated we have to express them in the two components x and y.
In this problem we will analyze first the movement in the y axis and its equation to obtain the velocity in the initial point (o) and then with the angle of 33° respect to the horizontal we can find the main velocity.
In the previous equation we have the negative term - (2*a*y), the reason for the negative sign is because gravity is the acceleration that is acting downwards.
Therefore:
Now with the velocity in the y component, we can calculate the main vector of the velocity.
The main topic to understand in this problem is that when the height is maximum the velocity will be zero in the y component, therefore Vy=0 and we can simplify the problem.