Home >> Topics >> Mechanical properties of fluids
Questions Not AttemptedQuestions Attempted
Unattempted Questions
Questions Available: 3
Year: 2021
Topic: Mechanical properties of fluids
1.
The velocity of a small ball of mass M and density d when dropped in a container filled with glycerine becomes constant after some time. If the density of glycerine is d/2, then the viscous force acting on the ball will be
(1).
\(\displaystyle \frac{Mg}{2}\)
(2).
\(Mg\)
(3).
\( \frac{3}{2}\, Mg\)
(4).
\(2\, Mg\)

Test
Solution
Year: 2025
Topic: Mechanical properties of fluids
2.
Consider a water tank shown in the figure.It has one wall at x = L and can be taken to be very wide in the Z direction.When filled with a liquid of surface tension S and density P, the liquid surface makes angle \(\theta_0\).(\(\theta_0 \,<<\,1\)) with the x-axis at x = L. If y(x) is the height of the surface then the equation for y(x) is

(take \(\theta \left(\text{x} \right)\,=\, sin\theta \left(\text{x} \right)\,=\,tan\theta \left(\text{x} \right)\,=\, \frac{\text{dy}}{\text{dx}} \text{, g}\) is the acceleration due to gravity)
(1).
\(\displaystyle \frac{\text{dy}}{\text{dx}}\,=\, \sqrt{\frac{\rho\text{g}}{\text{S}}x}\)
(2).
\(\displaystyle \frac{\text{d}^2\text{y}}{\text{dx}^2}\,=\, \frac{\rho \text{g}}{\text{S}}x\)
(3).
\(\displaystyle \frac{\text{d}^2\text{y}}{\text{dx}^2}\,=\, \frac{\rho \text{g}}{\text{S}}y\)
(4).
\(\displaystyle \frac{\text{d}^2\text{y}}{\text{dx}^2}\,=\, \sqrt{\frac{\rho \text{g}}{\text{S}}}\)

Test
Solution
Year: 2017
Topic: Mechanical properties of fluids
3.
A U tube with both ends open to the atmosphere, is partially filled with water. Oil, which is immiscible with water, is poured into one side until it stands at a distance of 10mm above the water level on the other side. Mean while the water rises by 65 mm from its original level (see diagram). The density ofthe oil is
(1).
\(650\, \text{Kg}\,m^{ −3}\)
(2).
\(425\, \text{Kg} \,m^{−3}\)
(3).
\(800\, \text{Kg}\, m^{ −3}\)
(4).
\(928\, \text{Kg} \,m^{ −3}\)

Test
Solution