Use the following figure to answer the question:
-The depth to which an inverted drinking glass must be pushed beneath the surface of water so that the volume of enclosed air is squeezed to half is
A)76 cm.
B)10.3 m.
C)14.7 m.
D)20.6 m.
E)29.4 m.

Question

Use the following figure to answer the question: 
-The depth to which an inverted drinking glass must be pushed beneath the surface of water so that the volume of enclosed air is squeezed to half is
A)76 cm. 
B)10.3 m. 
C)14.7 m. 
D)20.6 m. 
E)29.4 m.

Quizplus · Accepted Answer

The pressure at a depth in a fluid is given by P = P0 + ρgh, where P0 is the atmospheric pressure, ρ is the density of the fluid, g is the acceleration due to gravity, and h is the depth. For the volume of air to be halved, the pressure must double (Boyle's Law: P1V1 = P2V2). Therefore, P0 + ρgh = 2P0. Solving for h gives h = P0/ρg. Using standard atmospheric pressure (P0 = 101325 Pa), water density (ρ = 1000 kg/m³), and g = 9.8 m/s², h ≈ 10.3 m.

Use the Following Figure to Answer the Question