Advertisements
Advertisements
Question
At a given place, a barometer records 70 cm of Hg. If the mercury in the barometer is replaced by water, what would be resulting in reading? (Density of Hg = 13600 kg/m3; Density of water = 1000 kg/m3)
Advertisements
Solution
Height of mercury column = h = 70 cm = 0.70 m
Density of mercury = ρ= 13600 kg/m3
Acceleration due to gravity = g = 10 m/s2
Pressure = hρg
For water:
Height of water column = h’ =?
Pressure due to water column = P’
Density of water = ρw = 1000 kg/m3
P’ = h’ρwg
But, P’ = P
h’ρwg = hρg
h’ρw = hρ
h’ = `"hρ"/"ρ"_"w"=(0.7xx13600)/1000` = 9.52 m
APPEARS IN
RELATED QUESTIONS
Explain the principle of a hydraulic machine. Name two devices which work on this principle.
In a hydraulic machine, a force of 2 N is applied on the piston of area of cross section 10 cm2. What force is obtained on its piston of area of cross section 100 cm2 ?
Select the correct option.
One Pascal is equal to
Select the correct option.
Pressure applied in liquids is transmitted with undiminished force
Select the correct option.
A dam for water reservoir is built thicker at the bottom than at the top because
Select the correct option.
The pressure exerted by 50 kg (g = 10 m/s−2) on an area of cross-section of 2 m2 is
The pressure in the water pipe on the ground floor of a building is 40000 pascals, whereas on the first floor it’s 10000 pascals. Find the height of the first floor. (Acceleration due to gravity g = 10 ms−2)
Do all liquids exert pressure?
State Pascal’s law.
Assertion: Pascal’s law is the working principle of a hydraulic lift.
Reason: Pressure is thrust per unit area.
