A bottle has a stopper of area 1 cm^3. The bottle is completely filled with a li

Question

A bottle has a stopper of area 1 cm^3. The bottle is completely filled with a liquid, which touches the stopper; there are no air bubbles or pockets. The inside area of the bottle itself is 30 cm^2. Suppose a force of 5 Newtons is applied in a direction to push the stopper into the bottle. What extra pressure is exerted on the inner surface of the bottle as a result?

Options:

A) Don't forget the air pressure. Add that to the pressure exerted by the stopper on the liquid to get the correct result.

B) 5 N/cm^2

C) 0.167 N/cm^2

D) 150 N/cm^2

E) None of the other answers is correct

Explanation / Answer

apply pressure = Forcea/area

so F2/F1 = A2/A1

F2 = 5 /30 = 0.1667 N

so extra force neeeded is 0.1667 N/cm^2

option B it is

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