Answer:
The speed of light in air is c = 3 × 108 m/s.
Thus, the speed of light in glass will be given as.
v = c/n = 3 × 108/ 1.5 = 2 × 108 m/s.
The speed, wavelength and frequency are related as.
c = νλ
Thus, wavelength in air is given as.
λa = c/ν = 3 × 108/ 6 × 1014 = 5 × 10-7 m.
Answer:
a) Initial Value Problem
dv/dt = 4 - 0.1v
v(0) = 0
b) solution to the IVP
v(t) = 40(1 - e^(-t/10))
c) Limiting velocity
Vo = 40 ft/s
Position of the car after 12 hours
X = 14,390 ft
Explanations:
The complete explanations of each of the sections contained in the question are in the files attached to this solution.
Red supergiants like Betelgeuse and Antares
Answer:
2. +0.2 C
Explanation:
When the two spheres touch, the total charge will be redistributed such that the two spheres are at same potential:
The potential can be rewritten as ratio between the charge on the sphere (Q) and the capacitance of the sphere (C):
Since the two spheres are identical, they have same capacitance:
So we can write
And since the total charge is
And this charge will be redistributed equally on the two spheres (), we have