Friday, February 27, 2026

Industrialisation in the Colonies Class 10 | Indian Textiles, Gomastha System & Manchester Impact — NCERT Notes

Industrialisation in the Colonies

INTRODUCTION:

Before British rule, India was one of the world's leading producers and exporters of fine textiles. Indian silk and cotton dominated international markets for centuries. But with the rise of colonial power and British industrial expansion, this centuries-old trade network collapsed. This section explores how Indian textiles declined, how the East India Company controlled weavers through the gomastha system, how Manchester goods flooded the Indian market, and how Indian factories eventually came up despite colonial restrictions.

Industrialisation in the Colonies Class 10 | Indian Textiles, Gomastha System & Manchester Impact — NCERT Notes

 


The Age of Indian Textiles

India's global dominance in textiles

Before machine industries appeared, silk and cotton goods from India dominated the international textile market. Coarser cottons were produced in many countries, but the finer varieties often came from India.

How was trade organized?

A vibrant network connected India's weaving villages to international markets:

·       Armenian and Persian merchants took goods from Punjab to Afghanistan, eastern Persia, and Central Asia.

·       Surat (Gujarat coast) connected India to the Gulf and Red Sea ports.

·       Masulipatam (Coromandel coast) and Hoogly (Bengal) had trade links with Southeast Asian ports.

Merchants and bankers financed production, carried goods, and supplied exporters. Supply merchants linked port towns to inland weaving regions, gave advances to weavers, procured cloth from villages, and carried supplies to ports.

Decline of the old network

By the 1750s, this network controlled by Indian merchants began breaking down. European companies gradually gained power—first securing concessions from local courts, then monopoly rights to trade.

The old ports of Surat and Hoogly declined as a result:

·       Exports fell dramatically

·       Credit dried up

·       Local bankers went bankrupt

The gross value of trade through Surat had been Rs 16 million in the late seventeenth century. By the 1740s, it had slumped to Rs 3 million.

While Surat and Hoogly decayed, Bombay and Calcutta grew—a clear sign of the shift from Indian-controlled trade to European colonial trade.

Class 10 Science – Chapter 12: Electricity complete notes


What Happened to Weavers?

Company's initial interest in Indian textiles

After the East India Company established political power in Bengal and Carnatic (1760s-70s), it was actually keen to expand textile exports from India because British cotton industries had not yet grown and Indian fine textiles were in great demand in Europe.

Control over weavers: the gomastha system

To ensure regular and cheap supply, the Company developed a system to control weavers directly:

Step 1: The Company eliminated existing traders and brokers and appointed its own paid servant called the gomastha to supervise weavers, collect supplies, and examine quality.

Step 2: It prevented weavers from dealing with other buyers through a system of advances. Once an order was placed, weavers were given loans to buy raw materials. Those who took loans had to hand over cloth only to the gomastha—they could not sell to anyone else.

Impact on weavers

As loans flowed in and demand grew, weavers eagerly took advances hoping to earn more. But serious problems followed:

·       Many weavers had to lease out their small plots of land and devote all time to weaving.

·       Weaving required the labour of the entire family—children and women all engaged at different stages.

·       The new gomasthas were outsiders with no social link to the village. They acted arrogantly, marched in with sepoys and peons, and punished weavers for delays—often beating and flogging them.

·       Weavers lost the ability to bargain for prices or sell to different buyers.

·       The prices they received from the Company were miserably low.

Weavers' reactions

Weavers responded in several ways:

·       In Carnatic and Bengal, many deserted villages and migrated, setting up looms elsewhere.

·       Others revolted against the Company and its officials.

·       Over time, many refused loans, closed workshops, and took to agricultural labour.

Board exam tip: Gomastha system = Company's tool to control weavers: eliminate brokers + advance loans + ban selling to others + low prices + arrogant outsider officials.

History Section 2: HAND LABOUR & STEAM POWER Chapter 4: The Age of Industrialisation


Manchester Comes to India

Dramatic decline in Indian textile exports

In 1811-12, piece goods accounted for 33 percent of India's exports. By 1850-51, this figure had crashed to just 3 percent.

Why did this happen?

As cotton industries developed in England:

1.   British industrial groups pressurised the government to impose import duties on cotton textiles so Manchester goods could sell in Britain without competition.

2.   Industrialists persuaded the East India Company to sell British manufactures in Indian markets.

3.   British cotton goods exports increased dramatically: at the end of the eighteenth century, there was virtually no import of cotton piece goods into India. But by 1850, cotton piece goods were over 31 percent of India's imports, and by the 1870s, over 50 percent.

Double blow to Indian weavers

Cotton weavers in India faced two problems simultaneously:

1.   Export market collapsed (India could not sell abroad)

2.   Local market shrank (flooded with cheap Manchester machine-made goods)

Manchester goods produced by machines at lower costs were so cheap that weavers could not compete. By the 1850s, reports from most weaving regions described decline and desolation.

Crisis deepens in the 1860s

By the 1860s, weavers faced a new problem: the American Civil War broke out and cotton supplies from the US were cut off. Britain turned to India for raw cotton, so raw cotton exports from India increased and prices of raw cotton shot up. Weavers were forced to buy raw cotton at exorbitant (very high) prices, making weaving unviable.

By the end of the nineteenth century, Indian factories also began production, flooding the market with machine goods, making survival even harder for handloom weavers.

Class 10 Science – Chapter: Human Eye and the Colourful World complete notes


Quick Revision Table

Topic

Key Points for Exams

Pre-colonial India

Fine silk/cotton dominated world markets; Surat, Hoogly, Masulipatam were key ports.

Decline of old ports

Surat trade: Rs 16 million Rs 3 million (1740s); Bombay and Calcutta grew instead.

Gomastha

Company's paid servant; eliminated old brokers; supervised weavers; enforced advance loan system.

Advance system

Loans tied weavers to Company; could not sell to others; prices miserably low.

Weavers' reactions

Migrated, revolted, refused loans, closed workshops, became agricultural labourers.

Manchester impact

Indian exports: 33% (1811-12) 3% (1850-51); Indian imports: 31% Manchester goods by 1850.

Double blow

Export market collapsed + local market flooded with cheap Manchester goods.

1860s crisis

American Civil War raw cotton prices shot up weavers couldn't afford raw materials.


MCQs PYQ

1.   Before machine industries, India dominated international markets in:
A. Iron and steel
B. Silk and cotton textiles
C. Machinery
D. Coal
Answer: B

2.   Surat port connected India to:
A. Southeast Asian ports
B. Gulf and Red Sea ports
C. European ports only
D. American ports
Answer: B

3.   By the 1740s, the trade value through Surat slumped to:
A. Rs 10 million
B. Rs 5 million
C. Rs 3 million
D. Rs 1 million
Answer: C

4.   A gomastha was:
A. An Indian weaver
B. A Company-paid servant to supervise weavers
C. A local merchant
D. A ship captain
Answer: B

5.   The advance system tied weavers to the Company because:
A. Weavers liked the Company
B. Weavers who took loans could only sell to the Company
C. Weavers had no other skills
D. The Company paid the best prices
Answer: B

6.   In 1811-12, piece goods accounted for what percent of India's exports?
A. 10%
B. 33%
C. 50%
D. 60%
Answer: B

7.   By 1850-51, India's piece goods exports had fallen to:
A. 10%
B. 5%
C. 3%
D. 15%
Answer: C

8.   Indian weavers faced a "double blow" meaning:
A. Two wars
B. Export market collapsed + local market flooded with Manchester goods
C. Two droughts
D. Two diseases
Answer: B

9.   The 1860s crisis for weavers was caused by:
A. Indian government policies
B. American Civil War cutting off raw cotton supply
C. Monsoon failure
D. New weaving technology
Answer: B

10.                 Which cities grew as British colonial ports while Surat and Hoogly declined?
A. Delhi and Madras
B. Bombay and Calcutta
C. Agra and Lucknow
D. Pune and Nagpur
Answer: B

 

History: BEFORE THE INDUSTRIAL REVOLUTION Chapter 4: The Age of Industrialisation. 


Short Answer Questions (PYQ)

Q1. How was India's textile trade organized before the British?

Answer: Before British rule, fine silk and cotton goods from India dominated international markets. Armenian and Persian merchants carried goods to Central Asia; Surat connected India to the Gulf and Red Sea ports, and Masulipatam and Hoogly had links with Southeast Asian ports. Indian merchants and bankers financed production, supply merchants linked weaving villages to ports, and they gave advances to weavers and procured cloth for export.

Q2. What was the gomastha system? What were its effects on weavers?

Answer: The gomastha was a paid Company servant appointed to eliminate existing brokers, supervise weavers, collect supplies, and examine cloth quality. The advance loan system prevented weavers from selling to any buyer other than the Company, which paid miserably low prices. Gomasthas acted arrogantly, used sepoys to punish weavers, and weavers lost their bargaining power, leading many to migrate, revolt, or abandon weaving altogether.

Q3. How did Manchester goods affect Indian weavers?

Answer: Manchester machine-made cotton goods flooded the Indian market after British industrialists pressurised the East India Company to sell British goods in India. Indian textile exports crashed from 33 percent (1811-12) to just 3 percent (1850-51) of India's total exports. Weavers faced a double blow: their export markets collapsed and their local markets shrank as cheap Manchester goods undercut Indian handloom prices.

Q4. Why did the ports of Surat and Hoogly decline?

Answer: Surat and Hoogly declined as European companies gradually gained power—first securing concessions from local courts, then monopoly rights to trade. This caused exports through these ports to fall dramatically, the credit that financed trade dried up, and local bankers went bankrupt. Trade shifted to the new colonial ports of Bombay and Calcutta, which were controlled by European companies and ships.

Q5. How did the American Civil War affect Indian weavers?

Answer: When the American Civil War broke out in the 1860s, cotton supplies from the US were cut off and Britain turned to India for raw cotton. As raw cotton exports from India increased, prices shot up sharply. Indian weavers were forced to buy raw cotton at exorbitant prices, making weaving unviable and pushing many into deeper poverty.

Class 10 Science – Chapter 10: Light - Reflection and Refraction complete notes


Long Answer Questions (PYQ)

Q1. Describe how the East India Company controlled weavers in India.

Answer: After gaining political power in the 1760s-70s, the East India Company developed a systematic control over Indian weavers to ensure regular, cheap textile supplies. It eliminated existing traders and brokers and appointed gomasthas—paid Company servants—to supervise weavers, collect supplies, and examine cloth quality. Through the advance system, weavers were given loans to buy raw materials; those who accepted loans could only sell to the Company and could not deal with other buyers. Gomasthas were outsiders with no village ties; they acted arrogantly, came with sepoys and peons, and punished weavers for delays, often beating and flogging them. Weavers lost their bargaining power, received miserably low prices, and had to lease out their land to focus entirely on weaving; many ultimately migrated, revolted, or abandoned weaving for agricultural labour.

Q2. How did Manchester textiles destroy India's handloom industry?

Answer: As cotton industries developed in England, British industrial groups pressurised the government to impose import duties on cotton textiles to protect Manchester goods, while also persuading the East India Company to allow British manufactures into Indian markets. At the end of the eighteenth century, virtually no cotton piece goods were imported into India; by 1850, they constituted over 31 percent of India's imports, and by the 1870s, over 50 percent. Indian textile exports crashed from 33 percent of exports (1811-12) to just 3 percent (1850-51). Indian weavers faced a double blow: their export markets collapsed while their local markets were flooded with cheap machine-made Manchester goods they could not compete with in price. The 1860s American Civil War crisis further devastated weavers by cutting off raw cotton supplies and pushing up prices, making weaving completely unviable.

Q3. Explain how the rise of colonial power transformed India's textile trade.

Answer: Before British rule, India dominated the world textile market through a vibrant network where Indian merchants connected weaving villages to ports like Surat, Hoogly, and Masulipatam for export to Europe, Central Asia, and Southeast Asia. As European companies gained monopoly rights to trade, these old ports declined—Surat's trade fell from Rs 16 million to Rs 3 million by the 1740s—while British-controlled Bombay and Calcutta grew. The East India Company controlled weavers through the gomastha system and advance loans, paying miserably low prices and preventing weavers from selling to anyone else. When British machine industries grew, Manchester cotton goods flooded Indian markets, Indian textile exports collapsed from 33 percent to 3 percent of total exports within 40 years, and weavers faced the double blow of losing both export and domestic markets. The 1860s American Civil War crisis further pushed up raw cotton prices, making survival as weavers nearly impossible and completing the destruction of India's once-dominant handloom industry.

History: THE INTER-WAR ECONOMY Chapter 3: The Making of a Global World


Conclusion


Before colonial rule, India was the world's leading textile exporter, with vibrant networks connecting weavers to global markets through Indian merchants and ports. Colonial rule dismantled this system: the gomastha system tied weavers to the Company with advance loans and low prices, Manchester machine-made goods flooded both export and local markets, and the American Civil War crisis destroyed raw material supplies. This combination of factors devastated India's centuries-old handloom industry and forced thousands of weavers into poverty and agricultural labour. For board exams, focus on the gomastha system, the double blow to weavers, the Manchester impact statistics (33% to 3%), and the American Civil War effect—these are high-frequency questions.


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Tuesday, February 24, 2026

Electricity Class 10 Science Notes | Formulas, Numericals & MCQs [PDF Download].

Electricity  

INTRODUCTION:

Electricity is a fundamental Physics chapter that explains how electric current flows through conductors, governed by Ohm's Law (V=IR) and influenced by factors like resistance (R=ρ.l/A), material resistivity, and temperature. The chapter explores series and parallel circuits, where resistors combine differently (series: R1+R2+R3; parallel: 1/Req=1/R1+1/R2), and demonstrates practical applications through Joule's heating effect (H= Rt)—seen in electric heaters, bulbs, and fuses—and electric power calculations (P=VI=R=V²/R). Understanding these concepts unlocks numerical problem-solving (6-8 marks), circuit analysis (3-5 marks), and theory questions (2-3 marks) that appear predictably in every CBSE Board exam. This chapter rewards formula mastery + practice over rote memorization, making it one of the most reliable scoring areas (12-15 marks potential) when you know how to apply the relationships systematically.

 


What is Electric Current?

Electric current (I) is the rate of flow of electric charge through a conductor.

I=Q/t

·       Q = Electric charge (Coulombs, C)

·       t = Time (seconds, s)

·       Unit of current: Ampere (A) = 1 Coulomb per second

Conventional current: Flows from positive (+) to negative (−) terminal of battery (opposite to actual electron flow).

Ammeter: Measures electric current — always connected in series in a circuit.

Voltmeter: Measures potential difference — always connected in parallel across a component.

History: HAND LABOUR & STEAM POWER Chapter 4: The Age of Industrialisation


Electric Potential and Potential Difference

Electric potential: Work done per unit charge to move a positive test charge from infinity to that point.

V=W/Q

Potential difference (V): Work done per unit charge to move charge from one point to another.

V=W/Q

·       Unit: Volt (V) = 1 Joule per Coulomb (J/C)

Why current flows? Current flows from higher potential to lower potential (conventional). Battery maintains potential difference continuously.

Class 10 Science – Chapter: Human Eye and the Colourful World complete notes.


Ohm's Law (Most Important!)

Statement: At constant temperature, the electric current flowing through a conductor is directly proportional to the potential difference across its ends.

VIVI
V=IR

Where R = Resistance (constant of proportionality)

·       Unit of Resistance: Ohm (Ω) = 1 Volt per Ampere

V-I Graph: Straight line passing through origin slope = Resistance (R = V/I).

Ohmic vs Non-Ohmic Conductors

Property

Ohmic conductors

Non-ohmic devices

Definition

Follow Ohm's law strictly

Don't follow Ohm's law

V-I graph

Straight line through origin

Curved/irregular

R value

Constant at all V

Changes with V

Examples

Copper, aluminium wires

Diode, filament bulb, LED

 History: BEFORE THE INDUSTRIAL REVOLUTIONChapter 4: The Age of Industrialisation


Resistance and Resistivity

Resistance (R): Opposition offered by a conductor to the flow of electric current.

Factors affecting resistance:

R=ρ.l/A

Factor

Effect on Resistance

Length (l)

R l (double length = double resistance)

Cross-section area (A)

R 1/A (thicker wire = less resistance)

Material (ρ)

Depends on resistivity of material

Temperature

Increases for metals; decreases for semiconductors

Resistivity (ρ): Resistance of a conductor of unit length and unit cross-sectional area. Unit: Ohm-metre (Ω-m). It is a material property, independent of dimensions.

Resistivity Table:

Material

Resistivity (Ω-m)

Type

Silver

1.60 × 10

Best conductor

Copper

1.70 × 10

Conductor

Aluminium

2.60 × 10

Conductor

Tungsten

5.60 × 10

Metal (bulb filament)

Iron

10.0 × 10

Metal

Nichrome

100 × 10

Alloy (heater element)

Rubber

10¹³ − 10¹

Insulator

Glass

10¹ − 10¹⁴

Insulator

Why copper used for electric wires? Low resistivity less heat loss efficient current transmission.

Why Nichrome used in heaters? High resistivity + high melting point produces maximum heat safely.

Class 10 Science – Chapter 10: Light - Reflection and Refraction complete notes


Resistors in Series Circuit

Series connection: All resistors connected end-to-end in a single path.

Key formulas:
Rtotal=R1+R2+R3+…+
Itotal=I1=I2=I3(Current same through all)
V=V1+V2+V3(Voltage divides)

Voltage across each resistor: V = IR, V = IR, V = IR

Important: Total series resistance is always greater than the largest individual resistance.

Application: Not used in domestic wiring (single break stops all; unequal voltages; overall resistance too high).

History: THE INTER-WAR ECONOMY Chapter 3: The Making of a Global World


Resistors in Parallel Circuit

Parallel connection: All resistors connected between same two points (same voltage).

Key formulas:
1/Rtotal=1/R1+1/R2+1/R3+…+1/Rn
Vtotal=V1=V2=V3(Voltage same across all)
I=I1+I2+I3(Current divides)

Current through each resistor: I = V/R, I = V/R, I = V/R

Important: Total parallel resistance is always less than the smallest individual resistance.

Application: Used in domestic wiring — each appliance works independently at same voltage.

Class 10 Science – Chapter 9: Heredity and Evolution complete notes.


Series vs Parallel Complete Comparison

Property

Series Connection

Parallel Connection

Equivalent resistance

R + R + R

Less than smallest R

Current

Same through all

Divides I = I + I + I

Voltage

Divides V = V+V+V

Same across all

If one fails

Whole circuit breaks

Others continue normally

Bulb brightness

Dimmer (shares voltage)

Brighter (full voltage each)

Domestic use

Not used

Used (house wiring)

Application

Decorative bulb chains

All household circuits

History: THE NINETEENTH CENTURY (1815-1914) Chapter 3: The Making of a Global World


Heating Effect of Electric Current (Joule's Law)

Joule's Law: When electric current flows through a conductor, heat is produced. The heat produced is:

H= Rt

Alternate forms:
H=VIt(since V = IR)
H=.Rt

Unit: Joule (J) 1 Calorie = 4.18 J

Applications of Heating Effect

Appliance

Why heating effect used

Material used

Why that material

Electric heater/toaster

Converts electricity to heat

Nichrome wire

High ρ, high melting point

Electric iron

Converts electricity to heat

Nichrome wire

Same as above

Electric bulb

Produces light (via heat)

Tungsten filament

Very high melting point (3380°C)

Electric fuse

Safety device (melts at excess current)

Tin-lead alloy

Low melting point

Welding machines

High heat for welding

Carbon electrodes

High resistance

Why tungsten for bulb filament?

·       Melting point 3380°C (highest of all metals)

·       Stays solid even at 2500°C operating temperature

·       Gives white incandescent light

Why fuse has low melting point?

·       Melts quickly when current exceeds rated value

·       Breaks circuit before appliances get damaged


Electric Power

Electric power (P): Rate at which electric energy is consumed or work is done.

P=W/t=VI=R=/R

Unit: Watt (W) = 1 Joule per second (J/s)

Which formula to use?

·       P = VI (when both V and I known)

·       P = I²R (when I and R known)

·       P = V²/R (when V and R known)

Commercial Unit of Electric Energy

1 kWh=1000 W×3600 s=3.6×10 J

1 unit of electricity = 1 kWh = 3.6 × 10 J

Cost calculation:
Energy consumed (kWh) = Power (kW) × Time (hours)
Cost = Energy (kWh) × Rate per unit (
/kWh)

Class 10 Science – Chapter: How Do Organisms Reproduce? complete notes


MCQs PYQ

1.   SI unit of electric charge is:
(a) Ampere
(b) Volt
(c) Coulomb
(d) Ohm
Ans: (c) Coulomb (CBSE 2020)

2.   Ohm's law is applicable when:
(a) Temperature varies
(b) Temperature constant
(c) Resistance zero
(d) Current zero
Ans: (b) Temperature constant (CBSE 2021)

3.   In series combination, quantity that remains same:
(a) Voltage
(b) Power
(c) Current
(d) Resistance
Ans: (c) Current (CBSE 2023)

4.   1 kWh equals:
(a) 1000 J
(b) 3600 J
(c) 3.6 × 10
J
(d) 10
J
Ans: (c) 3.6 × 10
J (CBSE 2020)

5.   Nichrome is used in heaters because of:
(a) Low resistivity
(b) High resistivity + high MP
(c) Low melting point
(d) High conductivity
Ans: (b) High resistivity + high melting point (CBSE 2024)

6.   Power formula P =:
(a) VI only
(b) I²R only
(c) V²/R only
(d) All three
Ans: (d) All three (VI = I²R = V²/R) (CBSE 2023)

7.   Fuse wire has low melting point because:
(a) Good conductor
(b) Melts quickly at excess current
(c) Low cost
(d) High resistance
Ans: (b) Melts quickly at excess current (CBSE 2020)

8.   Resistivity of a material depends on:
(a) Length only
(b) Area only
(c) Temperature and material
(d) Shape
Ans: (c) Temperature and material (CBSE 2022)

9.   In parallel combination, which remains same?
(a) Current
(b) Resistance
(c) Voltage
(d) Power
Ans: (c) Voltage (CBSE 2023)

10.                 Heat produced by current given by:
(a) H = IRt
(b) H = I²Rt
(c) H = VRt
(d) H = I²R²t
Ans: (b) H = I²Rt (CBSE 2020)

Class 10 Science – Chapter 6: Control and Coordination 



Short Answer Questions (PYQ)

Q1. State Ohm's law. Write its mathematical form.
Ans: At constant temperature, current through conductor is directly proportional to potential difference across ends V I V = IR. Slope of V-I graph = Resistance R.

 

Q2. Why series arrangement not used in domestic circuits?
Ans: (1) Single break stops all appliances. (2) Voltage divides, appliances get less than rated voltage. (3) High total resistance inefficient. (4) Cannot use appliances independently.

 

Q3. Distinguish between ohmic and non-ohmic conductors.
Ans: Ohmic: Follow V = IR at all values (straight V-I graph); e.g., copper, aluminium. Non-ohmic: Don't follow Ohm's law (curved V-I graph); resistance changes with voltage; e.g., diode, LED, filament bulb.

 

Q4. What is a fuse? Why is a low melting point material used?
Ans: Fuse is a safety device with a thin wire of low melting alloy (tin-lead) in series with circuit. When excess current flows, wire melts quickly circuit breaks appliances protected.

 

Q5. Two bulbs rated 60W and 100W used at 220V. Which has higher resistance?
Ans: R = V²/P. Higher wattage = lower resistance. R
₆₀ = 220²/60 = 806.7 Ω, R₁₀₀ = 220²/100 = 484 Ω. 60W bulb has higher resistance.

Chapter 6 Life Processes complete notes


Long Answer Questions (PYQ)

 

Q1. Three resistors 3Ω, 4Ω, 5Ω connected in series to 24V. Find: (a) Total R (b) Total I (c) Voltage across each (d) Power dissipated in each.

Solution:
(a) R_total = 3+4+5 = 12 Ω
(b) I = V/R = 24/12 = 2 A
(c) V
= 2×3 = 6 V, V = 2×4 = 8 V, V = 2×5 = 10 V (Check: 6+8+10 = 24 V )
(d) P
= I²R = 4×3 = 12 W, P = 4×4 = 16 W, P = 4×5 = 20 W

 

Q2. State Joule's law. An electric iron rated 1000W, 220V used 1.5h daily for 25 days. Find: (a) Resistance (b) Current (c) Total energy in kWh (d) Cost at 6/kWh.

Solution:
Joule's law: H = I²Rt (heat
square of current × resistance × time)
(a) R = V²/P = 220²/1000 = 48.4 Ω
(b) I = P/V = 1000/220 = 4.55 A
(c) Daily energy = 1 kW × 1.5h = 1.5 kWh; Monthly = 1.5 × 25 = 37.5 kWh
(d) Cost = 37.5 × 6 =
225

 

Q3. Three resistors 2Ω, 3Ω, 6Ω connected in parallel to 12V. Find: (a) R_eq (b) Total I (c) I through each (d) Power of each.

Solution:
(a) 1/R_eq = 1/2+1/3+1/6 = 3/6+2/6+1/6 = 6/6 = 1
R_eq = 1 Ω
(b) I_total = V/R_eq = 12/1 = 12 A
(c) I
= 12/2 = 6 A, I = 12/3 = 4 A, I = 12/6 = 2 A (Check: 6+4+2 = 12 A )
(d) P
= VI = 12×6 = 72 W, P = 12×4 = 48 W, P = 12×2 = 24 W

 

Q4. Wire of resistance R is stretched to double its length. Find new resistance. How does resistivity change?

Solution:
Original: R = ρl/A (volume = lA = constant)
When stretched: new l' = 2l
volume constant new A' = A/2
New R' = ρ(2l)/(A/2) = ρ × 2l × 2/A = 4(ρl/A) = 4R
New resistance = 4 times original resistance
Resistivity does not change — it's a material property independent of dimensions.

 

Q5. A house has: 5 LED bulbs (10W each), 2 fans (75W each), 1 refrigerator (150W, 24h), 1 iron (1000W, 1h). All other appliances used 8h/day for 30 days. Find: (a) Total energy consumed (b) Monthly bill at 8/kWh.

Solution:
Daily energy:
Bulbs: 5 × 10W × 8h = 400 Wh
Fans: 2 × 75W × 8h = 1200 Wh
Refrigerator: 150W × 24h = 3600 Wh
Iron: 1000W × 1h = 1000 Wh
Daily total = 400+1200+3600+1000 = 6200 Wh = 6.2 kWh

Monthly energy = 6.2 × 30 = 186 kWh
Monthly bill = 186 × 8 =
1488


Conclusion


Electricity becomes completely manageable when divided into four skill areas: (1) Ohm's law and resistance (V=IR, R=ρl/A — master the formula triangle, know V/I/R relationships), (2) Series/parallel circuits (R_total and current/voltage behavior — practice 10-15 circuit problems), (3) Heating effect (H=I²Rt — three formula forms, applications: heater/bulb/fuse materials and reasons), (4) Electric power and energy (P=VI=I²R=V²/R, 1 kWh = 3.6×10
J, cost calculations). NCERT emphasizes numerical problems above everything else — series/parallel combination numericals (3-5 marks), power + cost calculations (3-5 marks), and heating effect numericals (3 marks) appear in every board paper. The key strategy: write given data clearly, choose correct formula, apply correct units, and check answer plausibility. Most common mistakes are wrong formula selection (P=VI vs P=I²R) and unit errors (watts vs kilowatts, seconds vs hours).

Chapter 4 Carbon and its Compounds


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