Bulk Properties of Liquids: NEET 2025

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Questions and Answers

What happens to a floating boat carrying stones if some stones are unloaded into the water?

  • Falls
  • Rises till half the number of stones are unloaded and the begins to fall
  • Rises (correct)
  • Remains unchanged

According to the image, what is the velocity $v$ of the fluid?

  • 2.25 m/s
  • 1.0 m/s
  • 1.5 m/s (correct)
  • 3.0 m/s

Bernoulli's principle is NOT involved in the working of which of the following?

  • Carburetor of automobile
  • Heart attack
  • Blades of a kitchen mixer (correct)
  • Movement of spinning ball

If water is flowing through a horizontal pipe with a non-uniform cross-section, what will the water have at the narrow portion?

<p>Maximum speed and least pressure (C)</p> Signup and view all the answers

A cube floats in water with 1/3rd of its parts outside the surface. If it floats in a liquid with 3/4th part outside, what is the density of the liquid?

<p>8/3 (B)</p> Signup and view all the answers

The height of a mercury barometer is 75 cm at sea level and 50 cm at the top of a hill. The ratio of the density of mercury to that of air is $10^4$. What is the height of the hill?

<p>2.5 km (D)</p> Signup and view all the answers

A block of steel of size 5 cm x 5 cm x 5 cm is weighed in water. If the relative density of steel is 7, what is its apparent weight?

<p>$6 \times 5 \times 5 \times 5 \text{ gf}$ (A)</p> Signup and view all the answers

A liquid of density ρ is filled in a U-tube and accelerated with acceleration a, creating heights $h_1$ and $h_2$ in the vertical arms. If the horizontal arm's length is $l$, the acceleration a is:

<p>$\frac{g(h_1 - h_2)}{l}$ towards right (C)</p> Signup and view all the answers

In the figure, what is the velocity $V_3$?

<p>1 m/s (B)</p> Signup and view all the answers

A thin uniform cylindrical shell, closed at both ends, is partially filled with water and floats vertically in water in a half-submerged state. If $\rho_c$ is the relative density of the material of the shell with respect to water, which is correct?

<p>Less than half filled if $\rho_c$ is less then 0.5 (D)</p> Signup and view all the answers

Flashcards

Pressure Formula in Fluid

Pressure at depth h in a liquid where (P_0) is atmospheric pressure, (\rho) is density, and g is gravity.

Fluid flow in non-uniform pipe

At the narrower portion of a horizontal pipe, water has maximum speed and least pressure due to the continuity equation and Bernoulli's principle.

Bernoulli's Principle

Bernoulli's principle states that an increase in the speed of a fluid occurs simultaneously with a decrease in pressure.

Net Horizontal Force

The vessel experiences a net horizontal force proportional to height. Specifically, (F \propto h)

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Height of water jet

The height of the jet of water from the orifice is zero.

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Specific Gravity of oil

A body floats with one-third of its volume above the surface of water. If it is placed in oil, it floats with half of its volume above the surface of the oil. Specific gravity of the oil is 1.

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Study Notes

  • The provided text contains multiple-choice questions related to the bulk properties of liquids, designed for NEET 2025 exam preparation

Key Concepts and Formulas

  • Relative density of a floating object determines how much of it is submerged
  • Acceleration and fluid dynamics are related, impacting liquid behavior in containers
  • Extension of wires under tension depends on material densities
  • Pressure increases with depth in a fluid

Fluid Flow

  • The velocity of an incompressible fluid changes based on the tube's cross-sectional area
  • Water velocity varies at different points in a non-uniform pipe
  • Bernoulli's principle does not explain the function of kitchen mixers
  • Liquid acceleration in a U-tube is related to the height difference in the liquid columns

Buoyancy, Thrust, and Floating Objects

  • The height a ball will jump out of the water depends on the density of the ball and liquid
  • Net horizontal force on a tank due to liquid outflow from holes is proportional to height differences
  • Thrust on a submerged triangular lamina is a function of area, height, and liquid density
  • Apparent weight of an object submerged in water depends on its relative density

Applications and Scenarios

  • Water level changes in connected sections depend on fluid dynamics, related to pressure and speed
  • The square of the speed of liquid coming out from an orifice can be used to estimate the height of the jet of water
  • Unloading stones from a boat affects the water level, with quantity unloaded affecting the overall volume
  • An airplane's lift relies on principles described in fluid dyanmics which can be described using Bernoulli's principle.

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