Answer: Hope this helps...
Step-by-step explanation:
When a glass tube is lowered into a fluid, it will displace an amount of fluid equal to the volume of the tube. The amount of fluid displaced will be equal in volume to the part of the tube that is submerged in the fluid. This is known as Archimedes' principle.
The amount that the level of mercury will decrease when a glass tube with a diameter of 1 mm is lowered into it depends on the length of the tube that is submerged.
Assuming the tube is inserted vertically into the mercury and the surface of the mercury is flat and level, we can use the following formula to calculate the decrease in level:
Δh = V/A
where:
Δh = the decrease in the level of the mercury
V = the volume of the tube that is submerged
A = the cross-sectional area of the tube
The volume of the tube that is submerged can be calculated as:
V = πr²h
where:
r = the radius of the tube, which is half its diameter (r = 0.5 mm)
h = the length of the tube that is submerged
The cross-sectional area of the tube can be calculated as:
A = πr²
Substituting these values into the formula for Δh, we get:
Δh = V/A = (πr²h)/(πr²) = h
So the decrease in the level of the mercury is equal to the length of the tube that is submerged. If the entire length of the tube is submerged, the decrease in the level of the mercury will be equal to the length of the tube. If only half of the length of the tube is submerged, the decrease in the level of the mercury will be half the length of the tube.
Therefore, if the glass tube with a diameter of 1 mm is lowered completely into the mercury, the level of the mercury will decrease by the length of the tube.