NEET Physics — Mechanical Properties of Fluids

A bubble of radius \( 2.5 \, \text{mm} \) is blown at \( 20 \, \text{cm} \) depth in water (\( \rho = 1000 \, \text{kg/m}^3 \), \( S = 0.0727 \, \text{N/m} \)). What is the total pressure inside? (Take \( P_a = 1.01 \times 10^5 \, \text{Pa} \), \( g = 9.8 \, \text{m/s}^2 \))

A tank has a hole \( 1.5 \, \text{m} \) below the water surface, open to the atmosphere. What is the efflux speed? (Take \( g = 10 \, \text{m/s}^2 \))

What is the excess pressure inside a mercury drop of radius \( 1.5 \, \text{mm} \) at \( 20^\circ \text{C} \)? (Surface tension = \( 0.4355 \, \text{N/m} \))

Water flows at \( 2.3 \, \text{m/s} \) at \( 3.5 \, \text{m} \) height with pressure \( 1.6 \times 10^5 \, \text{Pa} \). What is the pressure at \( 1.5 \, \text{m} \) height with speed \( 3.2 \, \text{m/s} \)? (\( \rho = 1000 \, \text{kg/m}^3 \), \( g = 9.8 \, \text{m/s}^2 \))

What is the total pressure at a depth of \( 4 \, \text{m} \) in seawater (\( \rho = 1.03 \times 10^3 \, \text{kg/m}^3 \)) if atmospheric pressure is \( 1.01 \times 10^5 \, \text{Pa} \)? (Take \( g = 9.8 \, \text{m/s}^2 \))