A 5m × 5m closed tank of 10 m height contains water and oil, and is connected to an overhead water reservoir as shown in the figure. Use \(γ_w=10\ kN/m^3\) and Specific gravity of oil = 0.8
Correct Answer: 5575
Solution and Explanation
Top Questions on Fluid Mechanics
- A body of mass \( m \) connected to a massless and unstretchable string goes in a vertical circle of radius \( R \) under gravity \( g \). The other end of the string is fixed at the center of the circle. If velocity at the top of the circular path is \( v = \sqrt{ngR} \), where \( n \geq 1 \), then the ratio of kinetic energy of the body at bottom to that at top of the circle is:
- JEE Main - 2025
- Physics
- Fluid Mechanics
$\text{The fractional compression } \left( \frac{\Delta V}{V} \right) \text{ of water at the depth of } 2.5 \, \text{km below the sea level is } \_\_\_\_\_\_\_\_\_\_ \%. \text{ Given, the Bulk modulus of water } = 2 \times 10^9 \, \text{N m}^{-2}, \text{ density of water } = 10^3 \, \text{kg m}^{-3}, \text{ acceleration due to gravity } g = 10 \, \text{m s}^{-2}.$
- JEE Main - 2025
- Physics
- Fluid Mechanics
- The excess pressure inside a soap bubble A in air is half the excess pressure inside another soap bubble B in air. If the volume of the bubble A is \( n \) times the volume of the bubble B, then, the value of \( n \) is \underline{\hspace{1cm}} .
- JEE Main - 2025
- Physics
- Fluid Mechanics
- A solid steel ball of diameter 3.6 mm acquired terminal velocity \( 2.45 \times 10^{-2} \) m/s while falling under gravity through an oil of density \( 925 \, \text{kg m}^{-3} \). Take density of steel as \( 7825 \, \text{kg m}^{-3} \) and \( g \) as \( 9.8 \, \text{m/s}^2 \). The viscosity of the oil in SI unit is
- JEE Main - 2025
- Physics
- Fluid Mechanics
- Two cylindrical vessels of equal cross-sectional area of \( 2 \, \text{m}^2 \) contain water up to heights 10 m and 6 m, respectively. If the vessels are connected at their bottom, then the work done by the force of gravity is: (Density of water is \( 10^3 \, \text{kg/m}^3 \) and \( g = 10 \, \text{m/s}^2 \))
- JEE Main - 2025
- Physics
- Fluid Mechanics
Questions Asked in GATE CE exam
Two soils of permeabilities \( k_1 \) and \( k_2 \) are placed in a horizontal flow apparatus, as shown in the figure. For Soil 1, \( L_1 = 50 \, {cm} \), and \( k_1 = 0.055 \, {cm/s} \); for Soil 2, \( L_2 = 30 \, {cm} \), and \( k_2 = 0.035 \, {cm/s} \). The cross-sectional area of the horizontal pipe is 100 cm², and the head difference (\( \Delta h \)) is 150 cm. The discharge (in cm³/s) through the soils is ........ (rounded off to 2 decimal places).
- GATE CE - 2025
- Permeability
The most suitable test for measuring the permeability of clayey soils in the laboratory is ___________.
- GATE CE - 2025
- Permeability
- The sum of the following infinite series is: \[ \frac{1}{1!} + \frac{1}{2!} + \frac{1}{3!} + \frac{1}{4!} + \frac{1}{5!} + \dots \]
- GATE CE - 2025
- Mathematical Logic
Consider the beam ACDEB given in the figure. Which of the following statements is/are correct:
- GATE CE - 2025
- Shear Force
The figures, I, II, and III are parts of a sequence. Which one of the following options comes next in the sequence as IV?
- GATE CE - 2025
- Logical and Analytical Reasoning Skills