Question
Download Solution PDFFor a mercury column of height 3 cm, the corresponding pressure in Pascal would be- (Take acceleration due to gravity as 10 m/s2)
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFThe correct answer is option 1) i.e. 4002.8.
CONCEPT:
- Pressure(P) due to fluid: A fluid contained in a container applies pressure on the walls of the container.
- This fluid pressure increases with an increase in height(or depth) of the fluid column as a result of the weight of the overlying fluid.
P = ρ × g × h
Where, P = Pressure due to the fluid, ρ = Density of the fluid, g = Acceleration due to gravity, and h = Height of the fluid column
The pressure due to a height "h" of the water column is given by:
P = ρ × g × h
CALCULATION:
Given data,
Height of mercury column(h) = 3 cm = 0.03 m
Acceleration due to gravity(g) = 10 m/s2
We know that,
Density of mercury(ρ) = 13.6 g/cm3 = 13.6 x 1000 kg/m3
Hence, Pressure due to the column of mercury will be:
P = 13.6 × 1000 × 10 × 0.03
⇒ P = 4080 Pa.
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