Question:
In a u-tube as shown in figure, water and oil are in the left side and right side of the tube respectively. The heights from the bottom for water and oil columns are 15 cm and 20 cm respectively. The density of the oil is :- [take \(\rho_{water}\) = 1000 kg/m\(^3\)]
In a u-tube as shown in figure, water and oil are in the left side and right side of the tube respectively. The heights from the bottom for water and oil columns are 15 cm and 20 cm respectively. The density of the oil is :- [take \(\rho_{water}\) = 1000 kg/m\(^3\)]
Updated On: Aug 3, 2024
- 1200 kg/m$^3$
- 750 kg/m$^3$
- 1000 kg/m$^3$
- 1333 kg/m$^3$
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The Correct Option is B
Approach Solution - 1
${\rho_{oil} \,h_{oil} = \rho_{water} \,h_{water}}$
$\Rightarrow {\rho_{oil}} = \frac{1000(15)}{20}$
$=750\,kg\,m^{-3}$
$\Rightarrow {\rho_{oil}} = \frac{1000(15)}{20}$
$=750\,kg\,m^{-3}$
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Approach Solution -2
The Correct Answer is (B)
Real Life Applications
Some real-life examples of Bernoulli's theorem are
- The shape of an airplane wing is designed to create a difference in pressure between the top and bottom of the wing. This difference in pressure creates lift.
- Spraying water from a garden hose.
- The carburetor works by using Bernoulli's theorem to create a difference in pressure between the air and fuel.
Question can also be asked as
- What is the density of the oil in the U-tube?
- How can you determine the density of the oil in the U-tube?
- What is the relationship between the density of the oil and the heights of the water and oil columns?
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Concepts Used:
Bernauli Theorem
In fluid dynamics, Bernoulli's principle states that an increase in the speed of a fluid occurs simultaneously with a decrease in static pressure or a decrease in the fluid's potential energy. The principle is named after Daniel Bernoulli who published it in his book Hydrodynamica in 1738.
