(a) A tank containing methanol has walls 2.50 cm thick made of glass of refractive index 1.550. Light from the outside air strikes the glass at a 41.3 angle with the normal to the glass. Find the angle the light makes with the normal in the methanol. (b) The tank is emptied and refilled with an unknown liquid. If light incident at the same angle as in part (a) enters the liquid in the tank at an angle of 20.2 from the normal, what is the refractive index of the unknown liquid?

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(a) A tank containing methanol has walls 2.50 cm thick made
of glass of refractive index 1.550. Light from the outside air strikes the
glass at a 41.3 angle with the normal to the glass. Find the angle the
light makes with the normal in the methanol. (b) The tank is emptied
and refilled with an unknown liquid. If light incident at the same angle
as in part (a) enters the liquid in the tank at an angle of 20.2 from the
normal, what is the refractive index of the unknown liquid?

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