Question

A cylindrical cistern, constructed below ground level, is 3 m in diameter and 2.2 m deep and is filled to the brim with a liquid whose index of refraction is 1.61. A small ob- ject rests on the bottom of the cistern at its center. KX> 1.5 m 3 m 2.2 m How far x from the edge of the cistern can a girl whose eyes are 1.5 m from the ground stand and still see the object? Answer in units of m.

Answer 1

Diameten of cylindrical custern is (d) = 3m depth of the cistern is (di) = 2-2 m. Refrachue andex ins (Mi) = 1.61 The height from the eye of the giorl to around 's (elz) = 105m Angle of mcidence is (@)) = tem 1679 - ten (242) 0 = 34.29° 202 fram snell's law in Sin (0,) = n2 Sin Oz O2 = Sin / 1161 Sin (34.29) z = 65.1° The distance of the giorl from the edge of the eastern i's tem 2=5 dz S = (1.5) tan 65.1). disdeince (8) = 3.231 m

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