Answer:
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A) 1.55
The speed of light in a medium is given by:

where
is the speed of light in a vacuum
n is the refractive index of the material
In this problem, the speed of light in quartz is

So we can re-arrange the previous formula to find n, the index of refraction of quartz:

B) 550.3 nm
The relationship between the wavelength of the light in air and in quartz is

where
is the wavelenght in quartz
is the wavelength in air
n is the refractive index
For the light in this problem, we have

Therefore, we can re-arrange the equation to find
, the wavelength in air:

Answer:
u = 1.77 m/s
Explanation:
Conservation of momentum
2250(10.3) + 3160u = (2250 + 3160)(5.32)
u = 1.77 m/s
No, as long as nothing moves you aren't doing work, since W=F.s. You have no s, so no W