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Water poured slowly from a teapot spout can double back under the spout for a co

ID: 1598369 • Letter: W

Question

Water poured slowly from a teapot spout can double back under the spout for a considerable distance before detaching and falling. (The water layer is held against the underside of the spout by atmospheric pressure.) In Fig. 14-23, in the water layer inside the spout, point a is at the top of the layer and point b is at the bottom of the layer; in the water layer outside the spout, point c is at the top of the layer and point d is at the bottom of the layer. Rank those four points according to the gauge pressure in the water there, most positive first.

Spout Water flow Fig. 14-23 Question 5.

Explanation / Answer

gauge pressure is difference between absolute pressure and atmospheric pressure.


pressure at a is atmospheric pressure , pressure at d is at atmospheric pressure

pressure at b=pressure at a+ density of tea*g*depth

as tea is sticking to the underside of the spout, force is in upward direction

so pressure difference is in upward direction

hence pressure at c is lesser than pressure at d.

so ranking of gauge pressure:

b > a=d>c