Home
Class 11
PHYSICS
A vertical U-tube of uniform cross-secti...

A vertical U-tube of uniform cross-section contains mercury. Through one of its limbs, some water is poured such that the mercury level in that limb goes down by 2 cm. What will be the height of the water column?

Text Solution

Verified by Experts

Let the height of the water column be h. If the mercury level falls down by 2 cm in one limb, then it will rise by 2 cm in the other limb.

AC = 2 cm, BE = 2 cm
`therefore" "` DE = 2 + 2 = 4 cm
Now, pressure at point C = pressure at point D
`therefore" "hxx1xxg=4xx13.6xxgor,h=54.4cm`.
Promotional Banner

Topper's Solved these Questions

  • HYDROSTATICS

    CHHAYA PUBLICATION|Exercise SECTION RELATED QUESTIONS|12 Videos
  • HYDROSTATICS

    CHHAYA PUBLICATION|Exercise HIGHER ORDER THINKING SKILL (HOTS) QUESTIONS|37 Videos
  • FRICTION

    CHHAYA PUBLICATION|Exercise CBSE SCANNER|7 Videos
  • KINETIC THEORY OF GASES

    CHHAYA PUBLICATION|Exercise CBSE Scanner|9 Videos

Similar Questions

Explore conceptually related problems

A U-tube of uniform cross-section contains some mercury. If water is poured into one of the limbs up to a height of 13.4cm, then find the rise in the mercury level in the other limb. The density of mercury = 13.4g*cm^(-3) .

A U-tube of uniform cross-section contains some water. When 4cm^(3) of water is poured into it, the water level rises by 1 cm in each arm of the tube. Now if 10cm^(3) of oil is poured through one of the limbs, the water level rises further by 2.2 cm in the other limb. Calculate the density of the oil.

Each side of an iron cube is 5 cm. This cube floats on mercury. What height of the cube remains above the surface of mercury? To cover the cube, if water is poured over mercury, then what will be the height of the water column? The density of iron is 7.2g*cm^(-3) and the density of mercury is 13.6g*cm^(-3) .

The centre of gravity of a hollow cylinder of mass 200 g is 10 cm above its base. If 500 g of water is poured into the cylinder the water level comes up to a height of 6 cm. What will be the height of the centre of gravity of the cylinder containing water?

A U-tube is almost half-filled with mercury. The wider limb has an area of cross-section of 2cm^(2) , and the cross-section of the narrow limb is 1cm^(2) . If 52cm^(3) of water is poured into the wider limb, then what will be the depression of the mercury level in that limb? The density of mercury = 13.6g*cm^(-3) .

A cubical steel block floats on mercury erectly. If each side of the cube is 10 cm, (i) how much of the body is above the mercury surface? (ii) If water is poured over mercury and it just covers the upper surface of the cube, then what will be the depth of the water column? Densities of steel and mercury are 7.8g*cm^(-3)and13.6g*cm^(-3) respectively.