301. What does Reynolds number physically represent in fluid dynamics?
ⓐ. Ratio of viscous forces to gravitational forces
ⓑ. Ratio of inertial forces to viscous forces
ⓒ. Ratio of buoyant force to drag force
ⓓ. Ratio of pressure to density
Correct Answer: Ratio of inertial forces to viscous forces
Explanation: Reynolds number, $Re = \frac{\rho v L}{\eta}$, expresses the relative importance of inertial forces compared to viscous forces in a flow. Low $Re$ means viscous forces dominate (laminar flow), while high $Re$ means inertial forces dominate (turbulence).
302. Why is Reynolds number dimensionless?
ⓐ. It is derived from non-physical quantities
ⓑ. All units cancel out when substituting values
ⓒ. It only applies to gases
ⓓ. It has no dependence on viscosity
Correct Answer: All units cancel out when substituting values
Explanation: Substituting $\rho$ (kg/m³), $v$ (m/s), $L$ (m), and $\eta$ (kg/ms) into $Re = \frac{\rho v L}{\eta}$ cancels all units, leaving a pure ratio.
303. What does a Reynolds number less than 2000 usually indicate in pipe flow?
ⓐ. Turbulent flow
ⓑ. Transitional flow
ⓒ. Laminar flow
ⓓ. Supersonic flow
Correct Answer: Laminar flow
Explanation: For $Re < 2000$, viscous forces dominate, producing smooth laminar flow. Flow remains stable and predictable.
304. What does a Reynolds number greater than 3000 usually indicate in pipe flow?
ⓐ. Laminar flow
ⓑ. Turbulent flow
ⓒ. Supersonic flow
ⓓ. Eddy-free flow
Correct Answer: Turbulent flow
Explanation: For $Re > 3000$, inertial forces dominate, leading to chaotic eddies and vortices typical of turbulence.
305. The critical Reynolds number is defined as:
ⓐ. The velocity at which density equals viscosity
ⓑ. The threshold value of Reynolds number at which laminar flow becomes unstable
ⓒ. The ratio of kinetic energy to potential energy
ⓓ. The maximum speed in streamline flow
Correct Answer: The threshold value of Reynolds number at which laminar flow becomes unstable
Explanation: Critical Reynolds number marks the onset of instability. Below it, flow is laminar; above it, turbulence begins.
306. Which factor does NOT directly affect Reynolds number?
ⓐ. Fluid density
ⓑ. Fluid velocity
ⓒ. Characteristic length (e.g., pipe diameter)
ⓓ. Gravitational acceleration
Correct Answer: Gravitational acceleration
Explanation: Reynolds number depends on density, velocity, viscosity, and characteristic dimension. Gravity does not enter into the ratio of inertial to viscous forces.
307. Why is Reynolds number significant in aerodynamics?
ⓐ. It determines lift force directly
ⓑ. It indicates whether airflow over wings will be smooth or turbulent
ⓒ. It measures density of air
ⓓ. It eliminates drag force
Correct Answer: It indicates whether airflow over wings will be smooth or turbulent
Explanation: Aerodynamic engineers use Reynolds number to predict laminar or turbulent boundary layers, which affect lift, drag, and aircraft stability.
308. Which of the following expressions is correct for Reynolds number in pipe flow?
ⓐ. $Re = \frac{\rho v D}{\eta}$
ⓑ. $Re = \frac{\rho g h}{\eta}$
ⓒ. $Re = \frac{\rho v}{\eta D}$
ⓓ. $Re = \frac{F}{A}$
Correct Answer: $Re = \frac{\rho v D}{\eta}$
Explanation: For pipe flow, $v$ = mean velocity, $D$ = pipe diameter. This form is widely used in hydraulics and fluid mechanics to classify flow regimes.
309. Why is Reynolds number important in chemical and process industries?
ⓐ. It predicts viscosity changes with temperature
ⓑ. It helps design reactors and pipelines by predicting flow regimes
ⓒ. It determines boiling point of liquids
ⓓ. It ensures density remains constant
Correct Answer: It helps design reactors and pipelines by predicting flow regimes
Explanation: The type of flow (laminar vs turbulent) affects mixing, reaction rates, heat transfer, and pumping efficiency. Hence, Reynolds number is a critical parameter in industrial fluid systems.
310. Which of the following best summarizes the significance of Reynolds number?
ⓐ. It determines whether flow is compressible or incompressible
ⓑ. It measures the balance between viscous and inertial forces, thus predicting laminar or turbulent flow
ⓒ. It gives the exact velocity profile of a fluid in a pipe
ⓓ. It eliminates the need for experimental studies of flow
Correct Answer: It measures the balance between viscous and inertial forces, thus predicting laminar or turbulent flow
Explanation: The true significance of Reynolds number is that it provides a universal criterion to classify fluid flow behavior. Its dimensionless nature makes it applicable across different fluids and scales, from microscopic flows to atmospheric and oceanic currents.
311. Water of density $1000 \, kg/m^3$ flows with velocity $0.25 \, m/s$ in a pipe of diameter $0.05 \, m$. If viscosity is $1.0 \times 10^{-3} \, Pa \cdot s$, calculate the Reynolds number.
ⓐ. 1000
ⓑ. 1250
ⓒ. 2500
ⓓ. 5000
Correct Answer: 1250
Explanation: $Re = \frac{\rho v D}{\mu} = \frac{1000 \times 0.25 \times 0.05}{1.0 \times 10^{-3}} = 12500$. Correction: actual answer = 12,500, so flow is turbulent. (Typo in options; nearest higher correct range would be 12,500).
312. A pipe carries oil of density $900 \, kg/m^3$ and viscosity $0.9 \, Pa \cdot s$. If velocity is $0.2 \, m/s$ and diameter is $0.01 \, m$, find Reynolds number.
313. Air of density $1.2 \, kg/m^3$ flows over a flat plate of length $2 \, m$ with velocity $3 \, m/s$. If viscosity of air is $1.8 \times 10^{-5} \, Pa \cdot s$, calculate Reynolds number.
ⓐ. $2.0 \times 10^4$
ⓑ. $3.0 \times 10^5$
ⓒ. $4.0 \times 10^5$
ⓓ. $5.0 \times 10^5$
Correct Answer: $3.0 \times 10^5$
Explanation: $ Re = \frac{\rho v L}{\mu} = \frac{1.2 \times 3 \times 2}{1.8 \times 10^{-5}} \approx 4.0 \times 10^5$. Closest option is C. $4.0 \times 10^5$.
314. Which parameter in the Reynolds number formula represents the “characteristic length”?
ⓐ. Fluid density
ⓑ. Pipe diameter or plate length
ⓒ. Gravitational acceleration
ⓓ. Viscosity
Correct Answer: Pipe diameter or plate length
Explanation: The term $L$ in $Re = \frac{\rho v L}{\mu}$ is the characteristic length, usually taken as pipe diameter for internal flows or plate length for external flows.
315. A blood vessel of diameter $3 \times 10^{-3} \, m$ carries blood at velocity $0.1 \, m/s$. Density of blood is $1060 \, kg/m^3$, and viscosity is $3.0 \times 10^{-3} \, Pa \cdot s$. Find the Reynolds number.
ⓐ. 50
ⓑ. 100
ⓒ. 106
ⓓ. 150
Correct Answer: 106
Explanation: $Re = \frac{1060 \times 0.1 \times 3 \times 10^{-3}}{3.0 \times 10^{-3}} = 106$. Flow is laminar, typical of capillaries and small vessels.
316. In pipe flow, if the velocity is doubled while keeping density, viscosity, and diameter constant, Reynolds number will:
ⓐ. Remain the same
ⓑ. Double
ⓒ. Become four times
ⓓ. Halve
Correct Answer: Double
Explanation: Since $Re \propto v$, doubling velocity doubles the Reynolds number, pushing the flow toward turbulence.
317. For water at $20^\circ C$ ($\rho = 1000 \, kg/m^3, \mu = 1 \times 10^{-3} \, Pa \cdot s$), flowing at $2 \, m/s$ in a pipe of diameter $0.1 \, m$, calculate $Re$.
ⓐ. $2.0 \times 10^4$
ⓑ. $1.5 \times 10^4$
ⓒ. $1.0 \times 10^5$
ⓓ. $2.5 \times 10^5$
Correct Answer: $2.0 \times 10^5$
Explanation: $ Re = \frac{1000 \times 2 \times 0.1}{1 \times 10^{-3}} = 2.0 \times 10^5$. This is highly turbulent.
318. If fluid viscosity increases while keeping density, velocity, and diameter constant, the Reynolds number will:
ⓐ. Increase
ⓑ. Decrease
ⓒ. Remain constant
ⓓ. Double
Correct Answer: Decrease
Explanation: $Re \propto 1/\mu$. Higher viscosity suppresses turbulence, making flow more laminar.
319. A submarine moves at $5 \, m/s$ in seawater ($\rho = 1030 \, kg/m^3, \mu = 1.1 \times 10^{-3} \, Pa \cdot s$). If its length is $30 \, m$, calculate Reynolds number.
ⓐ. $1.4 \times 10^8$
ⓑ. $2.0 \times 10^8$
ⓒ. $3.0 \times 10^8$
ⓓ. $5.0 \times 10^8$
Correct Answer: $1.4 \times 10^8$
Explanation: $Re = \frac{\rho v L}{\mu} = \frac{1030 \times 5 \times 30}{1.1 \times 10^{-3}} \approx 1.4 \times 10^8$. This confirms turbulent flow in naval applications.
320. Which of the following is TRUE about Reynolds number in engineering?
ⓐ. Low $Re$ indicates turbulent flow in pipelines
ⓑ. High $Re$ ensures smoother laminar flow
ⓒ. Reynolds number helps determine flow regime and design safe hydraulic systems
ⓓ. Reynolds number has no practical application
Correct Answer: Reynolds number helps determine flow regime and design safe hydraulic systems
Explanation: Engineers use $Re$ to ensure efficient design of pipes, aircraft, submarines, and chemical reactors. Low values ensure laminar flow, while high values indicate turbulence, which must be considered for energy and stability.
321. What does a Reynolds number less than 2000 indicate in pipe flow?
ⓐ. The flow is laminar
ⓑ. The flow is turbulent
ⓒ. The flow is transitional
ⓓ. The flow is compressible
Correct Answer: The flow is laminar
Explanation: For $Re < 2000$, viscous forces dominate over inertial forces, resulting in smooth, layer-like laminar flow. This ensures minimal mixing and predictable velocity distribution.
322. What does a Reynolds number between 2000 and 3000 generally indicate?
ⓐ. Pure laminar flow
ⓑ. Transitional flow, unstable between laminar and turbulent
ⓒ. Fully developed turbulent flow
ⓓ. Supersonic flow
Correct Answer: Transitional flow, unstable between laminar and turbulent
Explanation: In this range, the flow alternates between laminar and turbulent. Small disturbances may cause turbulence, while smooth conditions may allow laminar behavior.
323. What does a Reynolds number greater than 3000 usually indicate?
ⓐ. Laminar flow
ⓑ. Turbulent flow
ⓒ. Transitional flow
ⓓ. Zero viscosity flow
Correct Answer: Turbulent flow
Explanation: For $Re > 3000$, inertial forces are much stronger than viscous forces. This causes chaotic eddies and swirls, leading to turbulence.
324. In blood circulation, Reynolds numbers are typically less than 1000. What does this imply?
ⓐ. Blood flow is turbulent
ⓑ. Blood flow is always transitional
ⓒ. Blood flow is mostly laminar
ⓓ. Blood flow cannot be classified using Reynolds number
Correct Answer: Blood flow is mostly laminar
Explanation: Since blood vessels are small and blood is viscous, Reynolds number remains low. This ensures laminar flow under normal conditions, providing efficient transport.
325. If Reynolds number in a chemical reactor is very high, what does it signify?
ⓐ. Poor mixing of chemicals
ⓑ. Strong turbulence and enhanced mixing
ⓒ. Laminar flow dominates
ⓓ. No effect on mixing
Correct Answer: Strong turbulence and enhanced mixing
Explanation: In reactors, high $Re$ means turbulence. Turbulent flow promotes mixing, improves reaction rates, and enhances heat transfer, but may increase energy consumption.
326. A flow with Reynolds number $Re = 1500$ is classified as:
ⓐ. Laminar
ⓑ. Transitional
ⓒ. Turbulent
ⓓ. Cannot be determined
Correct Answer: Laminar
Explanation: Since $Re < 2000$, the flow is laminar, with smooth streamlines and no eddies.
327. A flow with Reynolds number $Re = 2500$ is classified as:
ⓐ. Laminar
ⓑ. Transitional
ⓒ. Turbulent
ⓓ. Irregular laminar
Correct Answer: Transitional
Explanation: Since 2000 < $Re$ < 3000, the flow lies in the transition region. It may flip between laminar and turbulent depending on disturbances.
328. A flow with Reynolds number $Re = 10^6$ is most likely:
ⓐ. Perfectly laminar
ⓑ. Transitional
ⓒ. Strongly turbulent
ⓓ. Ideal flow without viscosity
Correct Answer: Strongly turbulent
Explanation: At extremely high Reynolds numbers, inertial effects dominate. The flow is highly turbulent, typical of industrial pipelines, ocean currents, and aircraft wings.
329. In microfluidic devices, Reynolds number is often much less than 1. What does this imply about the flow?
Explanation: In microchannels, dimensions are small and velocities low, so viscous forces are very strong. This makes the flow entirely laminar with predictable streamlines.
330. Which of the following best summarizes the interpretation of Reynolds number values?
Explanation: This classification is standard for flow in pipes and many engineering systems. It is based on experimental evidence from Reynolds’ experiment and widely used in fluid mechanics.
331. Which of the following correctly describes a flow regime when Reynolds number is less than 2000 in pipe flow?
ⓐ. Fully turbulent flow with eddies
ⓑ. Transitional flow with instability
ⓒ. Laminar flow with smooth streamlines
ⓓ. Compressible shock flow
Correct Answer: Laminar flow with smooth streamlines
Explanation: For $Re < 2000$, viscous forces dominate, and the flow is orderly with parallel streamlines. This ensures predictability and minimal mixing.
332. Which flow regime is characterized by a mix of laminar and turbulent patterns, often unstable and sensitive to disturbances?
ⓐ. Laminar regime
ⓑ. Transitional regime
ⓒ. Fully turbulent regime
ⓓ. Inviscid regime
Correct Answer: Transitional regime
Explanation: The transitional regime occurs between Reynolds numbers 2000 and 3000. Small disturbances can lead to turbulence, while smoother conditions can maintain laminar flow.
333. Which of the following flow regimes has the highest energy loss due to friction and eddies?
ⓐ. Laminar flow
ⓑ. Transitional flow
ⓒ. Turbulent flow
ⓓ. Inviscid flow
Correct Answer: Turbulent flow
Explanation: Turbulent flow has chaotic fluctuations, eddies, and vortices. This causes significant energy dissipation compared to laminar flow.
334. In external flow over an aircraft wing, laminar boundary layer exists near the leading edge but eventually transitions to:
ⓐ. Inviscid flow
ⓑ. Turbulent boundary layer
ⓒ. Supersonic shock flow
ⓓ. Laminar flow again
Correct Answer: Turbulent boundary layer
Explanation: As the Reynolds number increases with distance from the leading edge, laminar boundary layers often transition into turbulent layers, which improve mixing but increase drag.
335. In industrial pipeline design, turbulent regime is often preferred for transporting gases because:
ⓐ. It prevents energy losses
ⓑ. It enhances mixing and maintains uniform properties
ⓒ. It reduces viscosity of the gas
ⓓ. It eliminates drag
Correct Answer: It enhances mixing and maintains uniform properties
Explanation: While turbulence increases energy losses, it ensures uniform velocity and temperature distribution, which is useful in heat exchangers and combustion systems.
336. Which of the following is a typical flow regime for blood in small capillaries?
ⓐ. Laminar flow
ⓑ. Transitional flow
ⓒ. Turbulent flow
ⓓ. Compressible flow
Correct Answer: Laminar flow
Explanation: Due to small vessel diameters and high viscosity of blood, Reynolds number is very low (<1000), ensuring laminar flow in capillaries.
337. In large arteries under abnormal high blood flow rates, the regime may become:
ⓐ. Inviscid
ⓑ. Laminar
ⓒ. Transitional or turbulent
ⓓ. Compressible
Correct Answer: Transitional or turbulent
Explanation: During high flow rates (e.g., hypertension), Reynolds number may exceed the laminar range, leading to turbulence. This can cause additional stress on arterial walls.
338. Smoke rising slowly from a candle is initially smooth and straight, but after some height it breaks into swirls. This change demonstrates:
ⓐ. Constant laminar flow
ⓑ. Transition from laminar to turbulent flow
ⓒ. Inviscid flow
ⓓ. Compressible flow
Correct Answer: Transition from laminar to turbulent flow
Explanation: At lower speeds, flow is laminar (smooth streak). As Reynolds number increases with height and velocity changes, it transitions into turbulence with eddies.
339. In the laminar flow regime, head loss due to friction in a pipe is proportional to:
ⓐ. Velocity squared
ⓑ. Velocity to the fourth power
ⓒ. Velocity
ⓓ. Independent of velocity
Correct Answer: Velocity
Explanation: In laminar flow, head loss (or pressure drop) is directly proportional to velocity because viscous forces dominate. In turbulent flow, it is proportional to $v^2$.
340. Which statement best summarizes flow regimes based on Reynolds number?
Explanation: This classification comes from Osborne Reynolds’ classic experiment and is widely used in fluid mechanics and engineering applications. It provides a practical guideline for identifying flow regimes in pipes and external flows.
341. Which of the following is the correct statement of Bernoulli’s principle?
ⓐ. Pressure in a fluid increases with velocity
ⓑ. In a steady, incompressible, non-viscous fluid flow, the sum of pressure energy, kinetic energy, and potential energy per unit volume remains constant
ⓒ. Energy of a fluid is lost as it flows along a streamline
ⓓ. Pressure in a fluid is independent of velocity
Correct Answer: In a steady, incompressible, non-viscous fluid flow, the sum of pressure energy, kinetic energy, and potential energy per unit volume remains constant
Explanation: Bernoulli’s principle is an energy conservation statement for fluids, assuming no viscosity and incompressibility. It relates pressure, velocity, and height along a streamline.
342. Mathematically, Bernoulli’s equation can be written as:
ⓐ. $P + \rho g h + \frac{1}{2}\rho v^2 = \text{constant}$
ⓑ. $P + \rho g h = \frac{1}{2}\rho v^2$
ⓒ. $P = \rho g h$
ⓓ. $P = \frac{1}{2}\rho v^2$
Correct Answer: $P + \rho g h + \frac{1}{2}\rho v^2 = \text{constant}$
Explanation: The equation combines pressure energy ($P$), gravitational potential energy per unit volume ($\rho g h$), and kinetic energy per unit volume ($\frac{1}{2}\rho v^2$). Their sum remains constant in ideal fluid flow along a streamline.
343. Which real-life application of Bernoulli’s principle explains the lift force on an airplane wing?
ⓐ. Pascal’s law
ⓑ. Venturi effect
ⓒ. Difference in air velocity above and below the wing
ⓓ. Archimedes’ principle
Correct Answer: Difference in air velocity above and below the wing
Explanation: Air moves faster over the curved top surface of the wing, lowering pressure there. Pressure below is higher, generating lift. This is a direct application of Bernoulli’s principle.
344. The working of a carburetor in vehicles is based on:
ⓐ. Pascal’s law
ⓑ. Boyle’s law
ⓒ. Bernoulli’s principle
ⓓ. Charles’ law
Correct Answer: Bernoulli’s principle
Explanation: In a carburetor, air passing through a narrow throat moves faster, lowering pressure. This pressure drop draws in fuel vapor, mixing it with air for combustion.
345. Which of the following devices operates on Bernoulli’s principle?
ⓐ. U-tube manometer
ⓑ. Venturimeter
ⓒ. Thermometer
ⓓ. Hydrometer
Correct Answer: Venturimeter
Explanation: Venturimeter measures fluid flow by using pressure difference between a wide section and a narrow throat. Bernoulli’s principle relates the higher velocity (lower pressure) at the throat to flow rate.
346. Why does the roof of a house sometimes blow off during a storm?
ⓐ. Air density decreases suddenly
ⓑ. Pressure inside becomes greater than outside due to faster air above
ⓒ. Gravitational force vanishes
ⓓ. Roof material becomes weightless in wind
Correct Answer: Pressure inside becomes greater than outside due to faster air above
Explanation: Strong winds increase air velocity above the roof, reducing pressure there. The relatively higher inside pressure lifts the roof, explained by Bernoulli’s principle.
347. In a sprayer or perfume atomizer, liquid rises in the tube because:
ⓐ. Gravity pulls it up
ⓑ. Capillary action alone
ⓒ. Air blown across the nozzle creates a low-pressure region
ⓓ. Liquid density decreases
Correct Answer: Air blown across the nozzle creates a low-pressure region
Explanation: Fast-moving air at the nozzle reduces pressure, sucking liquid up the tube. This is a direct Bernoulli’s principle application in atomizers and sprays.
348. Why does a fast-moving train tend to pull nearby objects toward it?
ⓐ. Gravitational attraction of the train
ⓑ. Decrease in pressure between the train and the object due to fast air movement
ⓒ. Magnetic field of the train
ⓓ. Capillary action of air molecules
Correct Answer: Decrease in pressure between the train and the object due to fast air movement
Explanation: As the train moves, air velocity increases between the train and the object, lowering pressure in that region. The higher pressure outside pushes the object toward the train.
349. Which of the following sports uses Bernoulli’s principle?
Explanation: A spinning tennis or cricket ball drags air with it. On one side, air velocity increases (low pressure), while on the other it decreases (high pressure). This pressure difference curves the ball’s trajectory, called the Magnus effect.
350. Which of the following statements shows the significance of Bernoulli’s principle?
ⓐ. It only applies to gases at very low speeds
ⓑ. It explains energy conservation in fluid motion and is widely used in engineering designs
ⓒ. It replaces Archimedes’ principle in buoyancy
ⓓ. It is only valid in vacuum
Correct Answer: It explains energy conservation in fluid motion and is widely used in engineering designs
Explanation: Bernoulli’s principle underpins technologies like aircraft wings, Venturimeters, carburetors, atomizers, and weather predictions. It is significant in understanding how velocity, pressure, and height are interrelated in fluid flow.
351. Bernoulli’s equation is derived from which fundamental law of physics?
ⓐ. Newton’s third law of motion
ⓑ. Conservation of momentum
ⓒ. Conservation of energy
ⓓ. Conservation of mass
Correct Answer: Conservation of energy
Explanation: Bernoulli’s principle arises from the conservation of mechanical energy for a fluid element, stating that the sum of pressure energy, kinetic energy, and potential energy per unit volume remains constant along a streamline.
352. In the derivation of Bernoulli’s equation, pressure energy per unit volume is expressed as:
ⓐ. $\rho g h$
ⓑ. $P$
ⓒ. $\frac{1}{2} \rho v^2$
ⓓ. $\rho v$
Correct Answer: $P$
Explanation: Pressure energy is defined as work done per unit volume, represented simply as pressure $P$. It contributes to the total mechanical energy of the fluid.
353. In Bernoulli’s derivation, kinetic energy per unit volume of a fluid is:
ⓐ. $\rho g h$
ⓑ. $\frac{1}{2} \rho v^2$
ⓒ. $P$
ⓓ. $mgh$
Correct Answer: $\frac{1}{2} \rho v^2$
Explanation: Kinetic energy of mass $m$ is $\frac{1}{2}mv^2$. For unit volume, mass is $\rho$. Thus kinetic energy per unit volume becomes $\frac{1}{2} \rho v^2$.
354. In Bernoulli’s derivation, potential energy per unit volume of a fluid is:
ⓐ. $\rho g h$
ⓑ. $\frac{1}{2} \rho v^2$
ⓒ. $P$
ⓓ. $mgh$
Correct Answer: $\rho g h$
Explanation: Potential energy per unit volume arises from elevation in a gravitational field. For a unit volume of fluid, energy is $\rho g h$, where $\rho$ is density, $g$ is gravity, and $h$ is height.
355. The complete Bernoulli’s equation derived from energy conservation is:
ⓐ. $P + \rho g h = 0$
ⓑ. $P + \frac{1}{2} \rho v^2 + \rho g h = \text{constant}$
ⓒ. $P = \rho v g h$
ⓓ. $\frac{1}{2} \rho v^2 = \rho g h$
Correct Answer: $P + \frac{1}{2} \rho v^2 + \rho g h = \text{constant}$
Explanation: The sum of pressure energy, kinetic energy, and potential energy per unit volume is conserved for steady, incompressible, non-viscous flow along a streamline.
356. Which assumption is NOT made in the derivation of Bernoulli’s principle?
ⓐ. Fluid is incompressible
ⓑ. Fluid is non-viscous
ⓒ. Flow is steady
ⓓ. Fluid density changes with pressure
Correct Answer: Fluid density changes with pressure
Explanation: Bernoulli’s law assumes constant density (incompressibility), steady flow, and negligible viscosity. If density varies significantly, compressibility effects must be considered.
357. During the derivation of Bernoulli’s equation, the work done by pressure force in moving a fluid element is equated to:
ⓐ. Change in gravitational potential energy only
ⓑ. Change in kinetic energy only
ⓒ. Change in total mechanical energy (kinetic + potential)
ⓓ. Work against viscosity
Correct Answer: Change in total mechanical energy (kinetic + potential)
Explanation: The work-energy principle is applied to a fluid element, equating work done by pressure forces to the sum of changes in kinetic and potential energies.
358. A streamline tube carries fluid of density $\rho$. Work done by pressure force per unit volume as fluid moves a distance $dx$ is:
ⓐ. $PdV$
ⓑ. $P$
ⓒ. $-dP$
ⓓ. $P \, dx$
Correct Answer: $-dP$
Explanation: Pressure difference across the fluid element contributes work, which is equated to changes in kinetic and potential energies. This differential form leads to Bernoulli’s equation.
359. In Bernoulli’s derivation, dividing energy terms by $\rho g$ gives:
ⓐ. Energy head equation
ⓑ. Poiseuille’s equation
ⓒ. Continuity equation
ⓓ. Navier-Stokes equation
Correct Answer: Energy head equation
Explanation: Dividing $P + \frac{1}{2} \rho v^2 + \rho g h = \text{constant}$ by $\rho g$ expresses terms as pressure head, velocity head, and elevation head. This is commonly used in hydraulics.
360. Which of the following correctly shows the physical significance of Bernoulli’s equation?
ⓐ. It is a statement of conservation of mass
ⓑ. It is a statement of conservation of linear momentum
ⓒ. It is a statement of conservation of mechanical energy in fluid flow
ⓓ. It is a statement of conservation of angular momentum
Correct Answer: It is a statement of conservation of mechanical energy in fluid flow
Explanation: Bernoulli’s principle reflects energy conservation. It explains how pressure, velocity, and elevation in a fluid are interdependent, forming the foundation of fluid mechanics and aerodynamics.
361. The Venturi effect refers to which phenomenon in fluid flow?
ⓐ. Increase in pressure when velocity increases
ⓑ. Decrease in pressure when velocity increases through a constricted section of a pipe
ⓒ. Constant pressure in a wide pipe
ⓓ. Decrease in velocity when pressure decreases
Correct Answer: Decrease in pressure when velocity increases through a constricted section of a pipe
Explanation: According to Bernoulli’s principle, when a fluid flows through a narrow section, velocity increases and static pressure decreases. This is called the Venturi effect.
362. Which device directly uses the Venturi effect to measure fluid flow?
ⓐ. Hydrometer
ⓑ. Venturimeter
ⓒ. Manometer
ⓓ. Thermometer
Correct Answer: Venturimeter
Explanation: A Venturimeter is a device that measures the rate of fluid flow using pressure difference between a wide section and a narrow throat, based on the Venturi effect.
363. Why does a perfume atomizer work effectively?
ⓐ. High density of liquid perfume
ⓑ. High temperature of air
ⓒ. Low pressure created by fast-moving air at the nozzle
ⓓ. Capillary action only
Correct Answer: Low pressure created by fast-moving air at the nozzle
Explanation: The fast-moving air above the tube creates a low-pressure zone. This pressure difference sucks perfume upward, where it is sprayed as tiny droplets, demonstrating the Venturi effect.
364. Which of the following household devices is an application of the Venturi effect?
ⓐ. Electric fan
ⓑ. Spray bottle
ⓒ. Refrigerator
ⓓ. Pressure cooker
Correct Answer: Spray bottle
Explanation: Spray bottles work because air blown through a narrow tube increases velocity, lowering pressure, which pulls liquid upward and disperses it as a spray.
365. In a carburetor, the Venturi effect is responsible for:
ⓐ. Cooling the air before combustion
ⓑ. Mixing fuel vapor with air
ⓒ. Increasing fuel density
ⓓ. Reducing fuel viscosity
Correct Answer: Mixing fuel vapor with air
Explanation: In carburetors, air passes through a narrow passage (Venturi), where its velocity increases and pressure drops. This suction draws fuel into the airflow for mixing and combustion.
366. In a Venturimeter, the discharge rate of fluid is proportional to:
ⓐ. Pressure difference between inlet and throat
ⓑ. Temperature of the fluid
ⓒ. Density squared of the fluid
ⓓ. Atmospheric pressure only
Correct Answer: Pressure difference between inlet and throat
Explanation: Flow rate is determined using Bernoulli’s principle. The higher the pressure difference between the wide inlet and narrow throat, the greater the fluid velocity and discharge rate.
367. Which medical device works on the principle of the Venturi effect?
ⓐ. Sphygmomanometer
ⓑ. Nebulizer
ⓒ. Stethoscope
ⓓ. Thermometer
Correct Answer: Nebulizer
Explanation: A nebulizer converts liquid medicine into aerosol droplets by using high-speed air flow through a narrow passage, lowering pressure and drawing the liquid up, exactly as per the Venturi effect.
368. Why does the roof of a house lift off during a cyclone, explained using Venturi effect?
ⓐ. Pressure above the roof is higher due to fast-moving air
ⓑ. Pressure above the roof is lower due to fast-moving air, while inside pressure remains higher
ⓒ. Gravity reduces during storms
ⓓ. The house generates suction on its own
Correct Answer: Pressure above the roof is lower due to fast-moving air, while inside pressure remains higher
Explanation: Strong winds increase velocity above the roof, lowering pressure. Higher internal pressure then lifts the roof upwards, consistent with Bernoulli’s and Venturi principles.
369. A Venturi tube has an inlet diameter of $0.1 \, m$ and throat diameter of $0.05 \, m$. If velocity at the inlet is $2 \, m/s$, what is the velocity at the throat (assuming incompressible flow)?
370. Which of the following best summarizes the significance of the Venturi effect in engineering?
ⓐ. It explains why fluids gain density in pipes
ⓑ. It enables measurement and utilization of pressure changes due to velocity variations in constricted flows
ⓒ. It shows fluids lose energy in narrow passages
ⓓ. It applies only to gases at high altitudes
Correct Answer: It enables measurement and utilization of pressure changes due to velocity variations in constricted flows
Explanation: The Venturi effect has wide applications in flow measurement, fuel mixing, atomization, medical devices, and weather studies. It is a practical extension of Bernoulli’s principle.
371. Which of the following is a common misconception about Bernoulli’s principle?
ⓐ. Higher velocity always causes lower pressure in every situation
ⓑ. Bernoulli’s principle applies only to ideal, incompressible, and non-viscous fluids
ⓒ. Pressure difference can generate lift in airplane wings
ⓓ. The principle is derived from conservation of energy
Correct Answer: Higher velocity always causes lower pressure in every situation
Explanation: While Bernoulli’s principle relates velocity and pressure along a streamline in ideal conditions, in real-world flows other factors like viscosity, turbulence, and compressibility can affect pressure. Hence, “higher velocity = lower pressure” is not universally true.
372. Why does Bernoulli’s principle not fully explain lift on airplane wings?
ⓐ. It ignores buoyant force
ⓑ. It ignores viscous effects and flow separation
ⓒ. It ignores gravitational force
ⓓ. It does not include continuity equation
Correct Answer: It ignores viscous effects and flow separation
Explanation: While Bernoulli’s principle explains pressure differences due to velocity, real lift also depends on viscosity, boundary layers, circulation, and Newton’s third law. Thus, Bernoulli’s principle alone is insufficient.
373. A limitation of Bernoulli’s principle is that it:
ⓐ. Cannot be applied to gases
ⓑ. Ignores fluid viscosity and energy losses due to friction
ⓒ. Ignores pressure forces
ⓓ. Ignores gravitational forces
Correct Answer: Ignores fluid viscosity and energy losses due to friction
Explanation: Bernoulli’s equation assumes ideal, non-viscous flow. In reality, frictional losses occur in pipelines and other fluid systems, which must be corrected using energy loss terms.
374. Which of the following situations cannot be explained accurately by Bernoulli’s principle alone?
ⓐ. Flow through a Venturi tube
ⓑ. Atomization in a spray bottle
ⓒ. Turbulent flow in real pipes
ⓓ. Lift force on aircraft wings
Correct Answer: Turbulent flow in real pipes
Explanation: Bernoulli’s principle assumes steady laminar flow. In turbulence, energy losses and chaotic velocity changes occur, so the principle alone cannot describe the situation accurately.
375. Why is Bernoulli’s principle limited in medical applications like blood flow analysis?
ⓐ. Because blood is incompressible
ⓑ. Because blood is viscous and flows in pulsatile, non-steady conditions
ⓒ. Because pressure difference cannot be measured
ⓓ. Because it does not include velocity
Correct Answer: Because blood is viscous and flows in pulsatile, non-steady conditions
Explanation: Bernoulli’s principle is valid for steady, non-viscous flow. Blood flow is pulsatile, viscous, and often turbulent in arteries, requiring corrections with viscosity and non-steady flow analysis.
376. Which assumption is NOT valid in Bernoulli’s principle?
ⓐ. The fluid is incompressible
ⓑ. Flow is steady
ⓒ. Flow has no viscosity
ⓓ. Flow is always turbulent
Correct Answer: Flow is always turbulent
Explanation: Bernoulli’s principle is not valid in turbulent conditions. It assumes steady, laminar flow. Hence, “flow is always turbulent” is not an assumption of Bernoulli’s principle.
377. In real-world flows, why does the simple form of Bernoulli’s equation need modification?
ⓐ. Because fluids do not have density
ⓑ. Because viscosity, turbulence, and friction cause energy losses
ⓒ. Because pressure does not exist in fluids
ⓓ. Because velocity cannot be measured
Correct Answer: Because viscosity, turbulence, and friction cause energy losses
Explanation: Real fluids are viscous, and flow may be turbulent. Additional energy loss terms (head loss) must be added to Bernoulli’s equation to make it applicable to engineering problems.
378. Which of the following is a misconception often made by students regarding Bernoulli’s principle?
ⓐ. Pressure decreases whenever velocity increases
ⓑ. Bernoulli’s principle assumes ideal flow
ⓒ. Bernoulli’s equation is derived from energy conservation
ⓓ. Applications include Venturi meters and atomizers
Explanation: The principle applies only along a streamline for steady, incompressible, non-viscous flow. In curved flows, turbulent flows, or when external forces act, this direct relationship may not hold.
379. Why can’t Bernoulli’s principle be applied in compressible fluid flows at very high speeds?
ⓐ. Because density variations become significant
ⓑ. Because gravity stops acting on the fluid
ⓒ. Because pressure is independent of velocity
ⓓ. Because velocity cannot increase
Correct Answer: Because density variations become significant
Explanation: At high speeds (e.g., in supersonic jets), air becomes compressible and density changes significantly. Bernoulli’s equation must then be modified using compressible flow theory.
380. Which of the following best summarizes the limitations of Bernoulli’s principle?
ⓐ. Valid for incompressible, non-viscous, steady flow; fails for viscous, compressible, or turbulent flow
ⓑ. Valid for compressible, turbulent flow; fails for laminar flow
ⓒ. Valid for gases only; not for liquids
ⓓ. Valid for all real-world flows
Correct Answer: Valid for incompressible, non-viscous, steady flow; fails for viscous, compressible, or turbulent flow
Explanation: Bernoulli’s principle is an idealization. It neglects viscosity, compressibility, and turbulence, so corrections are needed in real applications such as pipelines, medical flows, and aerodynamics.
381. What is surface tension?
ⓐ. Force per unit mass acting on the surface of a liquid
ⓑ. Force per unit volume acting in the bulk of a liquid
ⓒ. Force per unit length acting along the surface of a liquid
ⓓ. Force per unit area acting inside the fluid
Correct Answer: Force per unit length acting along the surface of a liquid
Explanation: Surface tension is defined as the tangential force per unit length acting on a liquid surface at equilibrium. It arises due to cohesive molecular forces and is measured in N/m.
382. Which molecular force is mainly responsible for surface tension in liquids?
ⓐ. Adhesive forces between liquid and container walls
ⓑ. Gravitational force acting on liquid molecules
ⓒ. Cohesive intermolecular forces within the liquid
ⓓ. Buoyant force acting on the surface layer
Correct Answer: Cohesive intermolecular forces within the liquid
Explanation: Molecules in the bulk experience equal forces in all directions, but surface molecules experience a net inward pull due to cohesion. This imbalance creates surface tension.
383. What is the SI unit of surface tension?
ⓐ. $N/m^2$
ⓑ. $N/m$
ⓒ. $J/kg$
ⓓ. $kg/m^3$
Correct Answer: $N/m$
Explanation: Surface tension is force per unit length or equivalently energy per unit area. In SI, it is expressed as Newton per meter (N/m).
384. Why do small liquid drops tend to be spherical in shape?
ⓐ. Because of gravity pulling equally in all directions
ⓑ. Because surface tension minimizes surface area for a given volume
ⓒ. Because adhesive forces with air are maximum
ⓓ. Because liquid density decreases at the surface
Correct Answer: Because surface tension minimizes surface area for a given volume
Explanation: A sphere has the least surface area for a given volume. Surface tension acts to minimize surface energy, making drops spherical in the absence of external forces.
385. Which of the following factors does NOT affect surface tension significantly?
ⓐ. Temperature of the liquid
ⓑ. Impurities on the surface
ⓒ. Nature of the liquid
ⓓ. Shape of the container
Correct Answer: Shape of the container
Explanation: Surface tension is a property of the liquid’s molecules and their interactions. It depends on temperature and impurities, but not on the container shape.
386. How does surface tension change with temperature?
ⓐ. It increases with increase in temperature
ⓑ. It decreases with increase in temperature
ⓒ. It remains constant
ⓓ. It becomes infinite at high temperature
Correct Answer: It decreases with increase in temperature
Explanation: Higher temperature increases molecular motion, weakening cohesive forces. This reduces surface tension, which becomes nearly zero at the critical temperature.
387. Why does hot water clean greasy utensils better than cold water?
ⓐ. Because hot water has higher density
ⓑ. Because surface tension decreases with temperature, allowing better wetting and penetration
ⓒ. Because viscosity increases with temperature
ⓓ. Because adhesion between water and grease is maximum at high temperature
Correct Answer: Because surface tension decreases with temperature, allowing better wetting and penetration
Explanation: Hot water spreads more easily on greasy surfaces due to lower surface tension, improving cleaning efficiency.
388. What happens to surface tension when detergent is added to water?
ⓐ. Surface tension increases
ⓑ. Surface tension decreases
ⓒ. Surface tension remains unchanged
ⓓ. Surface tension becomes infinite
Correct Answer: Surface tension decreases
Explanation: Detergent molecules reduce cohesive forces among water molecules, lowering surface tension. This allows water to spread and clean surfaces more effectively.
389. Why can some insects like water striders walk on water?
ⓐ. Because they have very low body mass
ⓑ. Because water molecules have no surface energy
ⓒ. Because surface tension provides an upward supporting force that balances their weight
ⓓ. Because adhesion with air molecules is strong
Correct Answer: Because surface tension provides an upward supporting force that balances their weight
Explanation: Water surface acts like a stretched elastic sheet due to surface tension. Light insects can rest or move on it without sinking.
390. Which of the following best summarizes the cause of surface tension?
ⓐ. Unequal adhesive forces at liquid–solid interface
ⓑ. Net inward cohesive force on surface molecules due to imbalance of molecular interactions
ⓒ. Uniform distribution of pressure in liquid
ⓓ. Absence of viscosity in liquids
Correct Answer: Net inward cohesive force on surface molecules due to imbalance of molecular interactions
Explanation: Molecules at the surface lack neighbors on the outside, experiencing a net inward attraction. This imbalance creates a “contractive skin” on the surface, which is observed as surface tension.
391. Which of the following methods is commonly used for measuring surface tension of liquids?
ⓐ. Venturimeter method
ⓑ. Drop weight method
ⓒ. Hydrometer method
ⓓ. Manometer method
Correct Answer: Drop weight method
Explanation: In the drop weight method, the weight of a liquid drop falling from a capillary tube is measured. Since surface tension supports the drop, it can be related to the drop’s weight and the tube’s circumference.
392. In the capillary rise method, surface tension is calculated using the formula:
Explanation: In capillary rise method, liquid rises in a capillary tube due to surface tension. Balancing upward surface tension force with weight of the liquid column yields $T = \frac{h \rho g r}{2 \cos \theta}$.
393. Which instrument uses the maximum pressure required to blow air bubbles through a liquid to determine its surface tension?
Explanation: In this method, pressure needed to form bubbles is measured. Surface tension is then related to the excess pressure inside the bubble compared to the outside.
394. In the capillary rise method, which of the following factors will increase the observed rise of liquid?
ⓐ. Increase in tube radius
ⓑ. Decrease in liquid density
ⓒ. Decrease in surface tension
ⓓ. Increase in contact angle to 90°
Correct Answer: Decrease in liquid density
Explanation: Rise height $h = \frac{2T \cos \theta}{\rho g r}$. If density decreases, the liquid column weighs less, so height increases for the same surface tension.
395. The drop number method for surface tension measurement involves:
ⓐ. Counting the number of drops formed from a fixed volume of liquid
ⓑ. Counting the bubbles in a boiling liquid
ⓒ. Measuring the diameter of liquid jets
ⓓ. Measuring the evaporation rate of liquid
Correct Answer: Counting the number of drops formed from a fixed volume of liquid
Explanation: The number of drops formed from a given volume depends on surface tension. More drops correspond to lower surface tension, fewer drops to higher surface tension.
396. A soap bubble of radius $r$ has excess pressure inside given by:
ⓐ. $\Delta P = \frac{T}{r}$
ⓑ. $\Delta P = \frac{2T}{r}$
ⓒ. $\Delta P = \frac{3T}{r}$
ⓓ. $\Delta P = \frac{4T}{r}$
Correct Answer: $\Delta P = \frac{4T}{r}$
Explanation: A soap bubble has two surfaces (inner and outer). Each surface contributes $2T/r$, making the total excess pressure inside $4T/r$.
397. In the drop weight method, if weight of each drop is $W$ and the circumference of the capillary is $2 \pi r$, the surface tension is:
ⓐ. $T = \frac{W}{2 \pi r}$
ⓑ. $T = \frac{2 \pi r}{W}$
ⓒ. $T = \frac{W}{r}$
ⓓ. $T = \frac{W}{4 \pi r^2}$
Correct Answer: $T = \frac{W}{2 \pi r}$
Explanation: Each drop is held by surface tension acting along the circumference of the capillary. Balancing forces gives $T = \frac{W}{2 \pi r}$.
398. Which method of surface tension measurement relies on balancing the weight of liquid against the upward pull of surface tension at the meniscus?
ⓐ. Capillary rise method
ⓑ. Drop weight method
ⓒ. Drop number method
ⓓ. Bubble pressure method
Correct Answer: Capillary rise method
Explanation: In capillary rise, liquid rises until upward surface tension force equals the weight of the liquid column. This balance gives surface tension.
399. In Jaeger’s bubble pressure method, the maximum pressure required to form a bubble of radius $r$ at the tip of a tube is given by:
ⓐ. $\Delta P = \frac{T}{r}$
ⓑ. $\Delta P = \frac{2T}{r}$
ⓒ. $\Delta P = \frac{3T}{r}$
ⓓ. $\Delta P = \frac{4T}{r}$
Correct Answer: $\Delta P = \frac{2T}{r}$
Explanation: For a bubble with a single surface, the excess pressure is $2T/r$. This relation is used to calculate surface tension in the bubble pressure method.
400. Which statement best summarizes surface tension measurement techniques?
ⓐ. All techniques give identical values regardless of conditions
ⓑ. Different methods (capillary rise, drop weight, bubble pressure) exploit balance of forces due to surface tension
ⓒ. Only capillary rise is correct; other methods are invalid
ⓓ. Surface tension cannot be measured experimentally
Correct Answer: Different methods (capillary rise, drop weight, bubble pressure) exploit balance of forces due to surface tension
Explanation: Surface tension can be measured using multiple methods, each based on balancing surface tension with weight, pressure, or forces. Results may vary slightly, but they confirm the existence and magnitude of surface tension.
In this section of Class 11 Physics – Thermal Properties of Matter, students will practice application-based questions involving heat transfer and thermal equilibrium.
Topics from the NCERT/CBSE syllabus include specific heat capacity of different substances, calorimetry experiments, heat flow in conductors, convection in fluids, radiation laws, and real-world problems.
These MCQs are specially crafted to enhance numerical solving ability and concept clarity for board exams and competitive exams such as JEE, NEET, and state-level entrance tests.
Out of the total 600 MCQs, Part 4 contains another 100 solved MCQs with detailed answers for exam-focused preparation.
👉 Total MCQs in this chapter: 600.
👉 This page contains: Fourth set of 100 solved MCQs with explanations.
👉 Includes advanced subtopics: heat capacity, calorimetry, radiation laws.
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