#### Chapters

Chapter 2: Mechanical Properties of Fluids

Chapter 3: Kinetic Theory of Gases and Radiation

Chapter 4: Thermodynamics

Chapter 5: Oscillations

Chapter 6: Superposition of Waves

Chapter 7: Wave Optics

Chapter 8: Electrostatics

Chapter 9: Current Electricity

Chapter 10: Magnetic Fields due to Electric Current

Chapter 11: Magnetic Materials

Chapter 12: Electromagnetic induction

Chapter 13: AC Circuits

Chapter 14: Dual Nature of Radiation and Matter

Chapter 15: Structure of Atoms and Nuclei

Chapter 16: Semiconductor Devices

## Chapter 2: Mechanical Properties of Fluids

### Balbharati solutions for Physics 12th Standard HSC Maharashtra State Board Chapter 2 Mechanical Properties of Fluids Exercises [Pages 54 - 55]

**Multiple Choice Question.**

A hydraulic lift is designed to lift heavy objects of maximum mass 2000 kg. The area of cross-section of piston carrying the load is 2.25 × 10^{-2} m^{2}. What is the maximum pressure the smaller piston would have to bear?

0.8711 × 10

^{6}N/m^{2}0.5862 × 10

^{7}N/m^{2}0.4869 × 10

^{5}N/m^{2}0.3271 × 10

^{4}N/m^{2}

**Multiple Choice Question.**

Two capillary tubes of radii 0.3 cm and 0.6 cm are dipped in the same liquid. The ratio of heights through which the liquid will rise in the tubes is

1: 2

2: 1

1: 4

4: 1

**Multiple Choice Question.**

The energy stored in a soap bubble of diameter 6 cm and T = 0.04 N/m is nearly

0.9 × 10

^{-3}J0.4 × 10

^{-3}J0.7 × 10

^{-3}J0.5 × 10

^{-3}J

**Multiple Choice Question.**

Two hailstones with radii in the ratio of 1:4 fall from a great height through the atmosphere. Then the ratio of their terminal velocities is

1:2

1:12

1:16

1:8

**Multiple Choice Question.**

Bernoulli theorem is based on the conservation of

linear momentum

mass

energy

angular momentum

Why is the surface tension of paints and lubricating oils kept low?

How much amount of work is done in forming a soap bubble of radius r?

What is the basis of Bernoulli’s principle?

Why is a low-density liquid used as a manometric liquid in a physics laboratory?

What is an incompressible fluid?

Why two or more mercury drops form a single drop when brought in contact with each other?

Why does velocity increase when water flowing in broader pipe enters a narrow pipe?

Why does the speed of a liquid increase and its pressure decrease when a liquid passes through a constriction in a horizontal pipe?

Derive an expression for excess pressure inside a drop of liquid.

Obtain an expression for conservation of mass starting from the equation of continuity.

Explain the capillary action.

Derive an expression for capillary rise for a liquid having a concave meniscus.

Find the pressure 200 m below the surface of the ocean if pressure on the free surface of liquid is one atmosphere. (Density of seawater = 1060 kg/m^{3})

In a hydraulic lift, the input piston had surface area 30 cm^{2} and the output piston has surface area of 1500 cm^{2}. If a force of 25 N is applied to the input piston, calculate weight on output piston.

Calculate the viscous force acting on a raindrop of diameter 1 mm, falling with a uniform velocity of 2 m/s through air. The coefficient of viscosity of air is 1.8 × 10^{-5} N.s/m^{2}.

A horizontal force of 1 N is required to move a metal plate of area 10^{-2} m^{2} with a velocity of 2 × 10^{-2} m/s, when it rests on a layer of oil 1.5 × 10^{-3} m thick. Find the coefficient of viscosity of oil.

With what terminal velocity will an air bubble 0.4 mm in diameter rise in a liquid of viscosity 0.1 Ns/m^{2} and specific gravity 0.9? Density of air is 1.29 kg/m^{3}.

The speed of water is 2m/s through a pipe of internal diameter 10 cm. What should be the internal diameter of the nozzle of the pipe if the speed of the water at nozzle is 4 m/s?

With what velocity does water flow out of an orifice in a tank with gauge pressure 4 × 10^{5} N/m^{2} before the flow starts? Density of water = 1000 kg/m^{3}.

The pressure of water inside a closed pipe is 3 × 10^{5} N/m^{2}. This pressure reduces to 2 × 10^{5} N/m^{2} on opening the valve of the pipe. Calculate the speed of water flowing through the pipe. [Density of water = 1000 kg/m^{3}].

Calculate the rise of water inside a clean glass capillary tube of radius 0.1 mm, when immersed in water of surface tension 7 × 10^{-2} N/m. The angle of contact between water and glass is zero, the density of water = 1000 kg/m^{3}, g = 9.8 m/s^{2}.

An air bubble of radius 0.2 mm is situated just below the water surface. Calculate the gauge pressure. Surface tension of water = 7.2 × 10^{−2} N/m.

Twenty-seven droplets of water, each of radius 0.1 mm coalesce into a single drop. Find the change in surface energy. Surface tension of water is 0.072 N/m.

A drop of mercury of radius 0.2 cm is broken into 8 droplets of the same size. Find the work done if the surface tension of mercury is 435.5 dyn/cm.

How much work is required to form a bubble of 2 cm radius from the soap solution having surface tension 0.07 N/m?

A rectangular wireframe of size 2 cm × 2 cm is dipped in a soap solution and taken out. A soap film is formed If the size of the film is changed to 3 cm × 3 cm, calculate the work done in the process. [Surface tension of the soap film is 3 × 10^{-2} N/m]

## Chapter 2: Mechanical Properties of Fluids

## Balbharati solutions for Physics 12th Standard HSC Maharashtra State Board chapter 2 - Mechanical Properties of Fluids

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Concepts covered in Physics 12th Standard HSC Maharashtra State Board chapter 2 Mechanical Properties of Fluids are Mechanical Properties of Fluids, Fluid, Pressure, Surface Tension, Fluids in Motion, Critical Velocity and Reynolds Number, Stokes’ Law, Equation of Continuity, Bernoulli’S Principle.

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