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ICSE • कक्षा XI • Physics • अध्याय 7
अनुमानित समय: 45 Mins
प्रगति: अध्ययनरत

थोक पदार्थ के गुण (Properties of Bulk Matter)

Detailed ISC Class 11 Physics chapter covering elasticity, stress, strain, elasticity moduli, fluid pressure, Pascal's law, Archimedes principle, viscosity, surface tension, and capillarity with numerical and concept-based practice.

अध्याय CBT ऑनलाइन टेस्ट दें सभी अध्याय देखें
प्रस्तावना अध्याय अवधारणाएँ अध्याय सारांश स्व-मूल्यांकन अभ्यास टेस्ट दें

यह अध्याय क्यों महत्वपूर्ण है

This chapter is central to understanding the physical world and forms the foundation for higher-level physics, engineering, and scientific reasoning.

अध्ययन से पूर्व (आवश्यक ज्ञान)

  • Basic algebra and units
  • Graph reading and interpretation
  • Familiarity with physical quantities and measurements

इस अध्याय के लक्ष्य

  • Explain the key concepts of the chapter clearly.
  • Apply formulas accurately in numericals and derivations.
  • Interpret physical phenomena using scientific reasoning.
  • Differentiate between similar concepts and avoid common mistakes.

अध्याय रूपरेखा एवं प्रगति

1 1. Elasticity and Stress-Strain Rel...
2 2. Young's Modulus, Bulk Modulus an...
3 3. Pressure in Fluids
4 4. Pascal's Law and Archimedes Prin...
5 5. Viscosity and Stokes' Law
6 6. Surface Tension and Capillarity

सम्पूर्ण सैद्धांतिक एवं वैचारिक अध्ययन

1. Elasticity and Stress-Strain Relationship

Elasticity
Hooke's Law

Within the elastic limit, stress is directly proportional to strain.

$$\text{Stress} = Y \times \text{Strain}$$

where $Y$ is Young's modulus. This relationship describes the linear elastic response of solids.

2. Young's Modulus, Bulk Modulus and Shear Modulus

Elastic Constants
Moduli of Elasticity

Young's modulus: $Y = \frac{FL}{A\Delta L}$

Bulk modulus: $K = -V \frac{dP}{dV}$

Shear modulus: $\eta = \frac{F}{A\theta}$

These constants quantify resistance to different kinds of deformation.

3. Pressure in Fluids

Fluid Pressure
Hydrostatic Pressure

Pressure in a liquid increases with depth due to the weight of the liquid above:

$$P = h\rho g$$

Pressure acts equally in all directions at a point in a fluid.

4. Pascal's Law and Archimedes Principle

Buoyancy
Pascal's Law

When pressure is applied to a confined fluid, the pressure change is transmitted equally and undiminished to every point in the fluid.

Archimedes Principle

The buoyant force on a body immersed in a fluid equals the weight of the displaced fluid.

$$F_b = \rho_{fluid} V_{disp} g$$

5. Viscosity and Stokes' Law

Viscosity
Viscous Force

Viscosity is the property of a fluid that opposes relative motion between adjacent layers. For laminar flow,

$$F = \eta A \frac{dv}{dx}$$

For a small sphere moving at speed $v$ in a viscous fluid, Stokes' law gives

$$F = 6\pi \eta r v$$

6. Surface Tension and Capillarity

Surface Phenomena
Surface Tension

Surface tension is the force acting along the surface of a liquid per unit length:

$$T = \frac{F}{L}$$

It explains spherical droplets, capillary rise, and the meniscus shape in tubes.

चित्रात्मक व्याख्या एवं मॉडल

ISC Physics: Properties of Bulk Matter 1. Elasticity Stress = F/A Force per unit area Strain = ΔL/L Relative deformation Young's modulus Stress–strain relation 2. Fluids P = hρg Pressure in fluid column Pascal's law Transmission of pressure Archimedes principle Buoyant force = weight of displaced fluid 3. Surface Tension T = F/L Tangential force per unit length Capillary rise Cohesion and adhesion Droplet shape Minimum surface area 4. Viscosity F = 6πηrv Stokes' law Velocity gradient Laminar flow Terminal velocity Viscous drag balances weight Key Formulae • Stress $= F/A$ ; Strain $= ΔL/L$ ; Young's modulus $Y = FL/AΔL$ • Pressure $P = hρg$ ; Buoyant force $F_b = ρVg$ ; Viscous force $F = 6πηrv$ • Surface tension $T = F/L$ ; capillary rise $h = 2T\cosθ/(rρg)$

अध्याय का सार संक्षेप एवं 10 मुख्य निष्कर्ष

मुख्य बिंदु 1
Elasticity describes the property of a body to regain its original shape and size after the deforming force is removed; within the elastic limit, stress is proportional to strain.
मुख्य बिंदु 2
Stress is force per unit area and can be longitudinal, tangential, or bulk, while strain is the relative deformation produced.
मुख्य बिंदु 3
Young's modulus, bulk modulus, and shear modulus are the three basic elastic constants that characterize a material under different types of stress.
मुख्य बिंदु 4
Pressure at a point in a fluid is the same in all directions and depends on depth: $P = h ho g$.
मुख्य बिंदु 5
Pascal's law explains that pressure applied to a confined fluid is transmitted undiminished throughout the fluid.
मुख्य बिंदु 6
Archimedes principle states that the buoyant force on a body immersed in a fluid equals the weight of the displaced fluid.
मुख्य बिंदु 7
Surface tension arises due to cohesive forces between molecules of a liquid and is measured as force per unit length: $T = F/L$.
मुख्य बिंदु 8
Viscous force opposes relative motion between layers of a fluid and is given by Newton's law of viscous flow: $F = \eta A rac{dv}{dx}$.
मुख्य बिंदु 9
Stokes' law gives the drag force on a small sphere moving through a viscous fluid: $F = 6\pi\eta r v$.
मुख्य बिंदु 10
Capillary rise occurs because of the balance between surface tension and the weight of the liquid column; it is greater for smaller radii of the tube and for liquids with stronger wetting action.

स्व-मूल्यांकन अभ्यास (Check Your Understanding)

मूल वैचारिक स्पष्टता की जांच के लिए नैदानिक प्रश्न। पहले स्वयं हल करें, फिर उत्तर देखें।

1
State Hooke's law and define elastic limit.
उत्तर एवं व्याख्या देखें
उत्तर: Within the elastic limit, stress is directly proportional to strain: $\sigma \propto \epsilon$. The elastic limit is the maximum deformation beyond which the body does not return to its original shape after the load is removed.
2
What is Young's modulus? Give its SI unit.
उत्तर एवं व्याख्या देखें
उत्तर: Young's modulus is the ratio of longitudinal stress to longitudinal strain: $Y = FL/(A\Delta L)$. Its SI unit is $ ext{N m}^{-2}$ or pascal (Pa).
3
Explain why a dam is thicker at the bottom than at the top.
उत्तर एवं व्याख्या देखें
उत्तर: Since pressure in a liquid increases with depth, the force due to water is greater at greater depth. Hence, the lower part of the dam must withstand higher pressure and is made thicker.
4
State Archimedes principle and write the expression for buoyant force.
उत्तर एवं व्याख्या देखें
उत्तर: The buoyant force on a body immersed in a fluid equals the weight of the displaced fluid: $F_b = ho_{fluid} V_{disp} g$.
5
What is surface tension? Give one practical example.
उत्तर एवं व्याख्या देखें
उत्तर: Surface tension is the tendency of a liquid surface to minimize its area due to cohesive forces. It explains why water droplets are spherical and why insects can walk on water.
6
Write Stokes' law and state the conditions for its validity.
उत्तर एवं व्याख्या देखें
उत्तर: For a sphere of radius $r$ moving with velocity $v$ through a fluid of viscosity $\eta$, drag force is $F = 6\pi\eta r v$. It applies for small spherical bodies and low Reynolds number laminar flow.
7
How does viscosity affect the motion of a falling sphere?
उत्तर एवं व्याख्या देखें
उत्तर: Viscosity exerts an upward drag force, which increases with speed. Eventually the drag balances the weight, and the sphere falls at a constant terminal velocity.
8
Define pressure and explain why a sharp pin can be pushed into wood more easily than a blunt one.
उत्तर एवं व्याख्या देखें
उत्तर: Pressure is force per unit area. A sharp pin has a very small contact area, so for the same force the pressure is much larger, allowing it to penetrate more easily.
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कक्षा 11 Physics के सभी अध्याय

अध्याय 1: भौतिक संसार और मापन (Physical World and Measurement) अध्याय 2: गतिकी (Kinematics) अध्याय 3: गति के नियम (Laws of Motion) अध्याय 4: कार्य, शक्ति और ऊर्जा (Work, Power and Energy) अध्याय 5: कणों और कठोर शरीर की प्रणाली की गति (Motion of System of Particles and Rigid Body) अध्याय 6: गुरुत्वाकर्षण (Gravitation) अध्याय 7: थोक पदार्थ के गुण (Properties of Bulk Matter) अध्याय 8: ताप और ऊष्मप्रवैगिकी (Heat and Thermodynamics) अध्याय 9: उत्तम गैसों का व्यवहार और गैसों का गतिज सिद्धांत (Behaviour of Perfect Gases and Kinetic Theory of Gases) अध्याय 10: दोलन और लहरें (Oscillations and Waves)

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