MyQuestionIcon

1

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Variation of Atmospheric Pressure with Altitude.

A simple U tu...

Question

A simple U tube contains mercury to the same level in both of its arms. If water is poured to a height of 13.6 cm in one arm,how much will be the rise in the mercury level in other arm?

Given : density of mercury = 13.6×10³ kg m-³ and density of water = 10³ kg m-³

Open in App

Solution

Given:
Length of mercury columns in two arms is equal.
Height to which water is poured in one arm, h = 13.6 cm
Let h' be the rise in the mercury level in the other arm.
Density of mercury = 13.6 × 103 kg m-3
Density of water = 103 kg m-3
Pressure due to water on one arm = Pressure on mercury column in the other arm
or 13.6 × 103 × g = h' × 13.6 × 103 × g
h' = 1 cm
The rise in mercury level in the other arm will be 1 cm.

Suggest Corrections

thumbs-up

0

Similar questions

A simple U tube contains mercury to the same level in both of its arms. If water is poured to a height of 13.6 cm in one arm, how much will be the rise in mercury level in other arm? Density of mercury $13.6 \times 10^{3} k g / m^{3}$ and density of water = $1000 k g / m^{3}$ .

Q. The area of cross-section of one limb of an U-tube is twice that of the other. Both the limbs contain mercury at the same level. Water is poured in the wider tube so that the mercury level in it goes down by

1 c m

. the height of the water column is (density of water =

10^{3} k g m^{- 3}

, density of mercury =

13.6 \times 10^{3} k g m^{- 3}

Q. A vertical U tube of uniform inner cross-section containing mercury in both its arms. A glycerine ( density

1300 k g m^{- 3}

) column of length

10

cm is introduced into one of the arms. Oil of density (

800 k g m^{- 3}

) is poured in the other arm until the upper surface of the oil and the glycerine are in the same horizontal surface. Find the length of oil column ( Density of mercury =

13.6 \times 10^{3} k g m^{- 3}

)

Q. A manometer tube contains mercury of density

13.6 \times 10^{3} k g m^{- 3}

. What difference in the levels of mercury in the two arms is indicated by a gauge pressure of

1.03 \times 10^{5} P a

Q. A U-tube is partially filled with mercury. Some water is poured in its one arm and a liquid in the other arm so that the level of mercury in both arms is same. What is the ratio of lengths of water and liquid in the two arms of the U-tube?
Density of water

= 1000 k g m^{- 3}

and density of liquid

= 900 k g m^{- 3}

.

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Measurement of Atmospheric Pressure

PHYSICS

Watch in App

explore_more_icon

Explore more

Variation of Atmospheric Pressure with Altitude.

Standard IX Physics

Join BYJU'S Learning Program

CrossIcon