A person and a dolphin observe one another through a glass barrier that has thic

Question

A person and a dolphin observe one another through a glass barrier that has thickness t. The dolphin is a distance d from the glass. An air bubble exists directly in the middle of the glass.

Part A - Which expression gives how far from the glass the dophin seems from the person's perspective?

nwater = 4/3, nglass = 3/2

  d=2/3d

Part B - Which expression gives the apparent distance of the bubble from the near surface of the glass from the person's perspective?

  d=2/3d

Part B - Which expression gives the apparent distance of the bubble from the near surface of the glass from the person's perspective?

Explanation / Answer

PART A
Real Distance Dr = d
Dolphin Distance from the glass from Person perspective,  Apparent Distance = Da?

Nwater = 4/3
We know,
Da = Dr * nobserver/n object
Da = d * 1 / (4/3)
Da = 3/4 d

PART B
Real Distance of bubble from glass Dr = t/2
Apparent Distance of the bubble from the near surface of the glass from the person's perspective = Da?
N glass = 3/2

Da = Dr * nobserver/n object
Da = (t/2) * 1 / (3/2)
Da = 1/3 t

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