I turn a glass upside down, trap the air in it by putting it in water, and then I take the glass down to 10 metres/33 feet. The air space would

become half the size it was at the surface.
not change in size.
become 1/3 the size it was at the surface.
become 2/3 the size it was at the surface.

become 1/3 the size it was at the surface.

If I am not able to equalize (clear) my body air spaces, it may be because I have

seasickness.
heart disease and high blood pressure.
a cold, allergy or another medical problem.
anxiety.

a cold, allergy or another medical problem.

If my ears or sinuses hurt while I am descending (going down), it usually means

my air spaces are equalized.
my mask strap is too tight.
I am feeling a squeeze and need to equalize.
my mask is too small.

I am feeling a squeeze and need to equalize.

When a glass is turned upside down and submerged in water, the air inside the glass is trapped and the pressure increases with water depth. According to Boyle's Law, which states that the volume of a gas is inversely proportional to the pressure applied to it, the air space inside the glass will decrease in size as the pressure increases.

At a depth of 10 meters or 33 feet, the pressure is approximately doubled compared to the surface. Therefore, according to Boyle's Law, the air space would become half the size it was at the surface. So, the correct answer is that the air space would become half the size it was at the surface.

To understand what happens to the air space when you take a glass underwater, we need to consider the concept of pressure. Pressure increases with depth underwater due to the weight of the water above.

When you initially trap air in the glass and submerge it, the pressure inside the glass remains the same as the atmospheric pressure on the surface. However, as you descend to a depth of 10 meters or 33 feet, the water exerts additional pressure on the glass. This increased pressure compresses the air inside the glass.

Now, let's analyze the options given:

1. The air space would become half the size it was at the surface.
This option implies that the air space is compressed by 50% due to the increased pressure. This is not true because the compressibility of air is not that high. The air space won't be reduced by half.

2. The air space would not change in size.
This option suggests that the increased pressure does not affect the size of the air space. However, this is not correct since the increased pressure will compress the air to some extent.

3. The air space would become 1/3 the size it was at the surface.
This option indicates that the air space is compressed to a third of its original size due to increased pressure. This is an accurate statement. As you descend to 10 meters, the water pressure adds enough force to compress the air space to approximately one-third its original size.

4. The air space would become 2/3 the size it was at the surface.
This option suggests that the air space is compressed to two-thirds its original size, which is not correct. The air space will be more compressed than this.

Therefore, the correct answer is that the air space would become 1/3 the size it was at the surface.