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

## Chapter 2: Mechanical Properties of Fluids

Exercises
Exercises [Pages 54 - 55]

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

Exercises | Q 1.1 | Page 54

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 m2. What is the maximum pressure the smaller piston would have to bear?

• 0.8711 × 106 N/m2

• 0.5862 × 107 N/m2

• 0.4869 × 105 N/m2

• 0.3271 × 104 N/m2

Exercises | Q 1.2 | Page 54

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

Exercises | Q 1.3 | Page 54

Multiple Choice Question.

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

• 0.9 × 10–3J

• 0.4 × 103

• 0.7 × 103

• 0.5 × 103

Exercises | Q 1.4 | Page 54

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

Exercises | Q 1.5 | Page 54

Multiple Choice Question.

Bernoulli theorem is based on the conservation of

• Linear momentum

•  Mass

• Energy

• Angular momentum

Exercises | Q 2.1 | Page 54

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

Exercises | Q 2.2 | Page 54

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

Exercises | Q 2.3 | Page 54

What is the basis of Bernoulli’s principle?

Exercises | Q 2.4 | Page 54

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

Exercises | Q 2.5 | Page 54

What is an incompressible fluid?

Exercises | Q 3 | Page 54

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

Exercises | Q 4 | Page 54

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

Exercises | Q 5 | Page 54

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

Exercises | Q 6 | Page 54

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

Exercises | Q 7 | Page 54

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

Exercises | Q 8 | Page 54

Explain the capillary action.

Exercises | Q 9 | Page 54

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

Exercises | Q 10 | Page 55

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/m3)

Exercises | Q 11 | Page 55

In a hydraulic lift, the input piston had surface area 30 cm2 and the output piston has surface area of 1500 cm2. If a force of 25 N is applied to the input piston, calculate weight on output piston.

Exercises | Q 12 | Page 55

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/m2.

Exercises | Q 13 | Page 55

A horizontal force of 1 N is required to move a metal plate of area 10-2 m2 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.

Exercises | Q 14 | Page 55

With what terminal velocity will an air bubble 0.4 mm in diameter rise in a liquid of viscosity 0.1 Ns/m2 and specific gravity 0.9? Density of air is 1.29 kg/m3.

Exercises | Q 15 | Page 55

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?

Exercises | Q 16 | Page 55

With what velocity does water flow out of an orifice in a tank with gauge pressure 4 × 105 N/m2 before the flow starts? Density of water = 1000 kg/m3.

Exercises | Q 17 | Page 55

The pressure of water inside a closed pipe is 3 × 105 N/m2. This pressure reduces to 2 × 105 N/m2 on opening the valve of the pipe. Calculate the speed of water flowing through the pipe. [Density of water = 1000 kg/m3].

Exercises | Q 18 | Page 55

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/m3, g = 9.8 m/s2.

Exercises | Q 19 | Page 55

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.

Exercises | Q 20 | Page 55

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.

Exercises | Q 21 | Page 55

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.

Exercises | Q 22 | Page 55

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

Exercises | Q 23 | Page 55

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]

Exercises

## 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 Fluid and Its Properties, Thrust and Pressure, Liquid Pressure, Pressure Exerted by a Liquid Column, Atmospheric Pressure, Gauge Pressure and Absolute Pressure, Hydrostatic Paradox, Transmission of Pressure in Liquids: Pascal’s Law, Application of Pascal’s Law, Measurement of Atmospheric Pressure, Mercury Barometer (Simple Barometer), Open Tube Manometer, Surface Tension, Molecular Theory of Surface Tension, Surface Tension and Surface Energy, Angle of Contact, Effect of Impurity and Temperature on Surface Tension, Excess Pressure Across the Free Surface of a Liquid, Explanation of Formation of Drops and Bubbles, Capillarity and Capillary Action, Fluids in Motion, Critical Velocity and Reynolds Number, Viscous Force Or Viscosity, Stokes’ Law, Terminal Velocity, Equation of Continuity, Bernoulli's Equation, Applications of Bernoulli’s Equation.

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