NEET Physics: Mechanical Properties of Fluids — Practice Set 11

Q1. What ensures that the braking effort is equal on all wheels in a hydraulic brake system?

Q2. What assumption does Bernoulli’s principle make about fluid flow that limits its application to real fluids?

Q3. Why do liquid drops tend to be spherical in the absence of external forces?

Q4. Which of the following statements is correct about a barometer?

Q5. A spray tube (\( 4 \, \text{cm}^2 \)) has 20 holes of diameter \( 1.4 \, \text{mm} \). If the flow speed is \( 1.8 \, \text{m/min} \), what is the ejection speed?

Q6. A hydraulic system has a small piston (\( 0.005 \, \text{m}^2 \)) and a large piston (\( 0.025 \, \text{m}^2 \)). If \( 80 \, \text{N} \) is applied on the small piston, what force does the large piston exert?

Q7. A tank has a hole \( 1.7 \, \text{m} \) below the water surface, open to the atmosphere. What is the efflux speed? (Take \( g = 9.8 \, \text{m/s}^2 \))

Q8. Why is pressure considered a scalar quantity despite being defined as force per unit area?

Q9. A \( 55 \, \text{kg} \) person stands on two bones, each with area \( 14 \, \text{cm}^2 \). What is the average pressure on the bones? (Take \( g = 10 \, \text{m/s}^2 \))

Q10. A bubble of radius \( 4.5 \, \text{mm} \) is blown at \( 35 \, \text{cm} \) depth in a soap solution (\( \rho = 1.2 \times 10^3 \, \text{kg/m}^3 \), \( S = 0.025 \, \text{N/m} \)). What is the total pressure inside? (Take \( P_a = 1.01 \times 10^5 \, \text{Pa} \), \( g = 9.8 \, \text{m/s}^2 \))

Q11. Why is the pressure of the atmosphere measured as the weight of a column of air?

Q12. A capillary tube of radius \( 0.25 \, \text{mm} \) is dipped in ethanol (\( S = 0.0227 \, \text{N/m} \), \( \rho = 806 \, \text{kg/m}^3 \), \( \cos \theta = 1 \)). What is the capillary rise? (Take \( g = 9.8 \, \text{m/s}^2 \))

Q13. A \( 75 \, \text{kg} \) person stands on two bones, each with area \( 24 \, \text{cm}^2 \). What is the average pressure on the bones? (Take \( g = 9.8 \, \text{m/s}^2 \))

Q14. A pipe has a cross-sectional area of \( 0.02 \, \text{m}^2 \) at one end and \( 0.01 \, \text{m}^2 \) at the other. If water flows at \( 2 \, \text{m/s} \) through the wider end, what is the speed at the narrower end?

Q15. Which statement is incorrect about the Magnus effect?

Physics — Mechanical Properties of Fluids

Set 11 of 22

22:30

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What ensures that the braking effort is equal on all wheels in a hydraulic brake system?