No, doubling the angle of incidence itself will not cause a doubling of the angle of refraction.
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The angle of incidence
Angle of refraction will be less compared to the angle of incidence in this case.
The COEFFICIENT of Refraction.
Not exactly, the angle of refraction = the angle of incidence, which means the ratio of sine of angle of incidence to the sine of angle of refraction is constant for two media. That is sin i /sin r = constant , and this constant is called refractive index
Usually not.