Home
Class 11
PHYSICS
A U-tube in which the cross-sectional ar...

A `U`-tube in which the cross-sectional area of the limb on the left is one-third of the limb on the right contains mercury (density `13.6 g//cm^(3)`). The level of mercury in the narrow limb extends to a distance of `30 cm` from the upper end of the tube. What will be the rise in the level of mercury in the right limb, if the left limb is filled to the top with water (neglect surface tension effects)?

Text Solution

Verified by Experts

Suppose area of cross section narrow limb be `a` then area of cross section of right limb will be `3 a`

Let the level of mercury in left limb fall be `x` and the rise of level in right limb be `y`, then
`ax=(3a)y`
`x=3y`
According to Pascal's law, `P_(A)=P_(B)`
`(30xx x)rho_(w)g=(x+y)rho_(Hg)g`
`(30xx3y)xx1xxg=(3y=y)xx13.6xxg`
`y=0.58cm`
Promotional Banner

Topper's Solved these Questions

  • FLUID MECHANICS

    CENGAGE PHYSICS|Exercise Exercise 4.2|11 Videos

  • FLUID MECHANICS

    CENGAGE PHYSICS|Exercise Exercise 4.3|10 Videos

  • FLUID MECHANICS

    CENGAGE PHYSICS|Exercise Solved Examples|7 Videos

  • DIMENSIONS & MEASUREMENT

    CENGAGE PHYSICS|Exercise Integer|2 Videos

  • GRAVITATION

    CENGAGE PHYSICS|Exercise INTEGER_TYPE|1 Videos

Similar Questions

Explore conceptually related problems

A U -tube in which the cross - sectional area of the limb on the left is one quarter, the limb on the right contains mercury (density 13.6 g//cm^3). The level of mercutuy in the narrow limb is at a distance of 36 cm from the upper end of the tube. What will be the rise in the level of mercury in the right limb if the left limb is filled to the top with water ?

Mercury is poured into a U-tube in which the cross-sectional area of the left-hand limb is three times smaller than that of the right one. The level of the mercury in the narrow limb is a distandce l=30 cm from the upper end of the tube. How much will the mercury level rise in the right-hand limb if the left one is filled to the top with water?

Which one is bone of fore limb ?

The lower end of a capillary tube is immersed in mercury. The level of mercury in the tube is found to be 2 cm below the outer level. If the same tube is immersed in water, up to what height will the water rise in the capillary ?

A manometer tube contains mercury of density 13.6 xx 10^(3) kg m^(-3) . What difference in the levels of mercury in the two arms is indicated by a gauge pressure of 1.03 xx 10^(5) Pa ?

When one limb of a manometer is connected to a container filled with a gas, the level of the mercury in the other limb rises by 'h' cm. Then the pressure of the gas in the container is 76+h cm of Hg.

Limbs are absent in

The ends of the bones of limbs are composed of which cartilage ?