NCERT Solutions Class 10 Science Chapter 11 Electricity

Electricity is the flow of electric charge through a conductor in a closed circuit.
NCERT Solutions Class 10 Science Chapter 11 connect this chapter with current, potential difference, Ohm’s law, resistance, heating effect and electric power.

Chapter 11 Electricity explains how electric current flows in a circuit and how voltage, resistance and power affect electrical devices. Students learn formulas such as I = Q/t, V = IR, R = ρl/A, H = I²Rt and P = VI.

NCERT Solutions for Class 10 Science Chapter 11 - All Exercise Questions

NCERT Solutions Class 10 Science Chapter 11 cover all exercise questions in textbook order, including Ohm's law Class 10, resistance and resistivity Class 10, series and parallel combination of resistors Class 10, heating effect of electric current Class 10, electric power Class 10, and Class 10 Science electricity solutions for numerical revision. The chapter explains that electric current is the rate of flow of electric charge and that a continuous closed path is called an electric circuit.

Key Takeaways

  • Electric Current: I = Q/t
  • Ohm’s Law: V = IR
  • Resistance: R = ρl/A
  • Electric Power: P = VI = I²R = V²/R

NCERT Solutions Class 10 Science Chapter 11 Structure 2026

Section Main Topic Question Focus
11.1–11.3 Current, potential difference and circuit diagrams Units, ammeter, voltmeter
11.4–11.6 Ohm’s law, resistance and resistor combinations Numericals, series and parallel circuits
11.7–11.8 Heating effect and electric power Joule heating, power, energy consumption
Exercises NCERT questions 18 textbook questions

NCERT Class 10 Science Chapter 11 Exercise Solutions

The exercise questions in Chapter 11 test current, resistance, equivalent resistance, electrical power, heat produced and energy consumed. Use Ohm’s law and resistor-combination formulas carefully.

Electricity Class 10: Exercise Questions and Answers

Q1. A piece of wire of resistance R is cut into five equal parts. These parts are connected in parallel. If the equivalent resistance is R′, then the ratio R/R′ is:

Options:

(a) 1/25
(b) 1/5
(c) 5
(d) 25

Each part has resistance:

R/5

Five equal resistors of R/5 are connected in parallel.

So:

1/R′ = 5/(R/5)

1/R′ = 25/R

R′ = R/25

Now:

R/R′ = R/(R/25)

R/R′ = 25

Answer:

(d) 25

Class 10 Science Chapter 11 Solutions for Electric Power

Q2. Which of the following terms does not represent electrical power in a circuit?

Options:

(a) I²R
(b) IR²
(c) VI
(d) V²/R

Electrical power can be written as:

P = VI

Using V = IR:

P = I²R

Also:

P = V²/R

So, IR² does not represent electrical power.

Answer:

(b) IR²

Q3. An electric bulb is rated 220 V and 100 W. When operated on 110 V, the power consumed will be:

Options:

(a) 100 W
(b) 75 W
(c) 50 W
(d) 25 W

Given:

Rated voltage = 220 V

Rated power = 100 W

Use:

P = V²/R

First find resistance:

R = V²/P

R = 220²/100

R = 484 Ω

Now when V = 110 V:

P = V²/R

P = 110²/484

P = 12100/484

P = 25 W

Answer:

(d) 25 W

Q4. Two conducting wires of the same material and equal lengths and diameters are connected first in series and then in parallel across the same potential difference. Find the ratio of heat produced in series and parallel combinations.

Let resistance of each wire be R.

For series:

Rₛ = R + R

Rₛ = 2R

For parallel:

Rₚ = R/2

For the same potential difference V, heat produced is:

H = V²t/R

So:

Hₛ/Hₚ = (V²t/2R) ÷ (V²t/(R/2))

Hₛ/Hₚ = 1/2R × R/2

Hₛ/Hₚ = 1/4

Answer:

(c) 1 : 4

Electric Current and Circuit Class 10

Q5. How is a voltmeter connected in the circuit to measure the potential difference between two points?

A voltmeter is connected in parallel across the two points between which the potential difference is to be measured.

Answer:

A voltmeter is connected in parallel.

Resistance and Resistivity Class 10

Q6. A copper wire has diameter 0.5 mm and resistivity 1.6 × 10⁻⁸ Ω m. What length of this wire will make its resistance 10 Ω? How much does the resistance change if the diameter is doubled?

Given:

Diameter = 0.5 mm

d = 0.5 × 10⁻³ m

Radius:

r = d/2

r = 0.25 × 10⁻³ m

Resistivity:

ρ = 1.6 × 10⁻⁸ Ω m

Resistance:

R = 10 Ω

Use:

R = ρl/A

So:

l = RA/ρ

Area:

A = πr²

A = 3.14 × (0.25 × 10⁻³)²

A = 3.14 × 6.25 × 10⁻⁸

A = 1.9625 × 10⁻⁷ m²

Now:

l = 10 × 1.9625 × 10⁻⁷ / 1.6 × 10⁻⁸

l = 122.65 m

So the required length is about:

122.7 m

If diameter is doubled, area becomes four times because:

A ∝ d²

Since:

R ∝ 1/A

New resistance:

R′ = R/4

R′ = 10/4

R′ = 2.5 Ω

Answer:

Length = 122.7 m approximately

If diameter is doubled, resistance becomes 2.5 Ω.

Q7. The values of current I and potential difference V are given below. Plot a graph between V and I and calculate the resistance.

Given table:

I (A) 0.5 1.0 2.0 3.0 4.0
V (V) 1.6 3.4 6.7 10.2 13.2

Use:

R = V/I

For each pair:

At I = 0.5 A:

R = 1.6/0.5 = 3.2 Ω

At I = 1.0 A:

R = 3.4/1.0 = 3.4 Ω

At I = 2.0 A:

R = 6.7/2.0 = 3.35 Ω

At I = 3.0 A:

R = 10.2/3.0 = 3.4 Ω

At I = 4.0 A:

R = 13.2/4.0 = 3.3 Ω

Average resistance:

R ≈ 3.3 Ω

Answer:

The V-I graph is nearly a straight line.

Resistance ≈ 3.3 Ω

Q8. When a 12 V battery is connected across an unknown resistor, there is a current of 2.5 mA in the circuit. Find the resistance.

Given:

V = 12 V

I = 2.5 mA

I = 2.5 × 10⁻³ A

Use:

R = V/I

R = 12/(2.5 × 10⁻³)

R = 4800 Ω

R = 4.8 kΩ

Answer:

The resistance is 4800 Ω, or 4.8 kΩ.

Ohm’s Law Class 10

Q9. A 9 V battery is connected in series with resistors of 0.2 Ω, 0.3 Ω, 0.4 Ω, 0.5 Ω and 12 Ω. How much current would flow through the 12 Ω resistor?

In series, the same current flows through every resistor.

Total resistance:

R = 0.2 + 0.3 + 0.4 + 0.5 + 12

R = 13.4 Ω

Use:

I = V/R

I = 9/13.4

I = 0.671 A

Answer:

Current through the 12 Ω resistor = 0.67 A approximately.

Q10. How many 176 Ω resistors in parallel are required to carry 5 A on a 220 V line?

Given:

V = 220 V

Total current = 5 A

Required equivalent resistance:

R = V/I

R = 220/5

R = 44 Ω

For n resistors of 176 Ω connected in parallel:

Rₚ = 176/n

So:

176/n = 44

n = 176/44

n = 4

Answer:

4 resistors are required.

Series and Parallel Combination of Resistors Class 10

Q11. Show how three resistors, each of resistance 6 Ω, can be connected so that the combination has resistance (i) 9 Ω and (ii) 4 Ω.

Q11(i). To get 9 Ω

Connect two 6 Ω resistors in parallel.

Equivalent resistance:

1/R = 1/6 + 1/6

1/R = 2/6

R = 3 Ω

Now connect this 3 Ω combination in series with the third 6 Ω resistor.

Total resistance:

R = 3 + 6

R = 9 Ω

Answer:

Connect two 6 Ω resistors in parallel, then connect the third 6 Ω resistor in series.

Q11(ii). To get 4 Ω

Connect two 6 Ω resistors in series.

Series resistance:

R = 6 + 6

R = 12 Ω

Now connect this 12 Ω combination in parallel with the third 6 Ω resistor.

Equivalent resistance:

1/R = 1/12 + 1/6

1/R = 1/12 + 2/12

1/R = 3/12

R = 4 Ω

Answer:

Connect two 6 Ω resistors in series, then connect the combination in parallel with the third 6 Ω resistor.

Q12. Several electric bulbs rated 10 W are connected in parallel across a 220 V supply. How many lamps can be connected if the maximum allowable current is 5 A?

Given:

Power of each bulb = 10 W

Voltage = 220 V

Current used by one bulb:

I = P/V

I = 10/220

I = 1/22 A

Maximum current:

5 A

Number of bulbs:

n = 5 ÷ (1/22)

n = 5 × 22

n = 110

Answer:

110 lamps can be connected.

Q13. A hot plate of an electric oven connected to a 220 V line has two resistance coils A and B, each of 24 Ω. They may be used separately, in series or in parallel. What are the currents in the three cases?

Given:

Voltage = 220 V

Each resistance = 24 Ω

Case 1: Used separately

R = 24 Ω

I = V/R

I = 220/24

I = 9.17 A

Case 2: Used in series

Total resistance:

R = 24 + 24

R = 48 Ω

Current:

I = 220/48

I = 4.58 A

Case 3: Used in parallel

Equivalent resistance:

R = 24/2

R = 12 Ω

Current:

I = 220/12

I = 18.33 A

Answer:

Separately = 9.17 A

Series = 4.58 A

Parallel = 18.33 A

Q14. Compare the power used in the 2 Ω resistor in each of the following circuits.

(i) A 6 V battery in series with 1 Ω and 2 Ω resistors
(ii) A 4 V battery in parallel with 12 Ω and 2 Ω resistors

Case (i)

Total resistance:

R = 1 + 2

R = 3 Ω

Current:

I = V/R

I = 6/3

I = 2 A

Power in 2 Ω resistor:

P = I²R

P = 2² × 2

P = 8 W

Case (ii)

In parallel, the potential difference across the 2 Ω resistor is 4 V.

Power:

P = V²/R

P = 4²/2

P = 16/2

P = 8 W

Answer:

Power used in the 2 Ω resistor is 8 W in both circuits.

Electric Power Class 10

Q15. Two lamps, one rated 100 W at 220 V and the other 60 W at 220 V, are connected in parallel to the electric mains. What current is drawn from the line if the supply voltage is 220 V?

Total power:

P = 100 + 60

P = 160 W

Voltage:

V = 220 V

Use:

P = VI

I = P/V

I = 160/220

I = 0.727 A

Answer:

Current drawn from the line = 0.73 A approximately.

Q16. Which uses more energy: a 250 W TV set in 1 hour or a 1200 W toaster in 10 minutes?

For TV:

Power = 250 W

Time = 1 hour

Energy = 250 × 1

Energy = 250 Wh

For toaster:

Power = 1200 W

Time = 10 minutes

Time = 10/60 hour

Time = 1/6 hour

Energy = 1200 × 1/6

Energy = 200 Wh

Comparison:

250 Wh > 200 Wh

Answer:

The 250 W TV set uses more energy.

Q17. An electric heater of resistance 44 Ω draws 5 A from the service mains for 2 hours. Calculate the rate at which heat is developed in the heater.

Rate of heat developed means power.

Given:

R = 44 Ω

I = 5 A

Use:

P = I²R

P = 5² × 44

P = 25 × 44

P = 1100 W

Answer:

Rate of heat developed = 1100 W, or 1.1 kW.

Heating Effect of Electric Current Class 10

Q18. Explain the following.

Q18(a). Why is tungsten used almost exclusively for filaments of electric lamps?

Tungsten has a very high melting point. It can become white hot and emit light without melting easily. That is why it is used for electric lamp filaments.

Answer:

Tungsten is used because it has a very high melting point and can glow at high temperature.

Q18(b). Why are conductors of electric heating devices made of an alloy rather than a pure metal?

Alloys have higher resistivity than pure metals and do not oxidise easily at high temperatures. This makes them suitable for heating elements in toasters and electric irons. The textbook also notes that alloys are commonly used in heating devices because they do not burn readily at high temperatures.

Answer:

Alloys are used because they have high resistivity and can withstand high temperature without oxidising easily.

Q18(c). Why is the series arrangement not used for domestic circuits?

In a series circuit, the same current flows through all devices. If one device fails, the whole circuit breaks. Also, different appliances need different currents and cannot work independently in series.

Answer:

Series arrangement is not used because appliances cannot be controlled independently and failure of one device stops the whole circuit.

Q18(d). How does the resistance of a wire vary with its area of cross-section?

Resistance is inversely proportional to the area of cross-section.

R ∝ 1/A

So, if area increases, resistance decreases.

Answer:

Resistance decreases when area of cross-section increases.

Q18(e). Why are copper and aluminium wires usually employed for electricity transmission?

Copper and aluminium have low resistivity, so they allow electric current to pass with comparatively less resistance and lower energy loss.

Answer:

Copper and aluminium are used because they are good conductors with low resistivity.

Electricity Class 10: Concepts Used in Chapter 11

Chapter 11 uses formulas from current electricity, Ohm’s law, resistance, resistor combinations, heating effect and electric power. These formulas are important for numerical questions.

Electric Current and Circuit Class 10

Electric current is the rate of flow of charge.

Copy-friendly formula:

I = Q/t

Here:

I = current

Q = charge

t = time

Potential Difference Class 10

Potential difference is the work done per unit charge.

Copy-friendly formula:

V = W/Q

Here:

V = potential difference

W = work done

Q = charge

Ohm’s Law Class 10

Ohm’s law states that current through a conductor is directly proportional to potential difference across it, provided temperature remains constant.

Copy-friendly formula:

V = IR

Also:

I = V/R

R = V/I

Resistance and Resistivity Class 10

Resistance of a wire depends on length, area of cross-section and material.

Copy-friendly formula:

R = ρl/A

Here:

ρ = resistivity

l = length

A = area of cross-section

Series Combination of Resistors

In series, current is the same through every resistor.

Copy-friendly formula:

Rₛ = R₁ + R₂ + R₃

Parallel Combination of Resistors

In parallel, potential difference is the same across each branch.

Copy-friendly formula:

1/Rₚ = 1/R₁ + 1/R₂ + 1/R₃

Heating Effect of Electric Current Class 10

Heat produced by current is given by Joule’s law of heating.

Copy-friendly formula:

H = I²Rt

Also:

H = VIt

Electric Power Class 10

Electric power is the rate at which electrical energy is consumed.

Copy-friendly formulas:

P = VI

P = I²R

P = V²/R

Electrical energy:

E = P × t

Commercial unit:

1 kWh = 3.6 × 10⁶ J

Quick Formula Table for NCERT Solutions Class 10 Science Chapter 11

Concept Copy-Friendly Formula Used In
Electric current I = Q/t Current numericals
Potential difference V = W/Q Work and energy
Ohm’s law V = IR Resistance and current
Resistance R = ρl/A Wire resistance
Series resistance Rₛ = R₁ + R₂ + R₃ Series circuits
Parallel resistance 1/Rₚ = 1/R₁ + 1/R₂ + 1/R₃ Parallel circuits
Joule heating H = I²Rt Heat produced
Electric power P = VI = I²R = V²/R Power numericals

Useful Links for Class 10 Science NCERT Solutions

Section Useful Links
Class 10 Science NCERT Solutions NCERT Solutions for Class 10 Science
Chapter 1 NCERT Solutions for Class 10 Science Chapter 1
Chapter 2 NCERT Solutions for Class 10 Science Chapter 2
Chapter 3 NCERT Solutions for Class 10 Science Chapter 3
Chapter 4 NCERT Solutions for Class 10 Science Chapter 4
Chapter 5 NCERT Solutions for Class 10 Science Chapter 5
Chapter 6 NCERT Solutions for Class 10 Science Chapter 6
Chapter 7 NCERT Solutions for Class 10 Science Chapter 7
Chapter 8 NCERT Solutions for Class 10 Science Chapter 8
Chapter 9 NCERT Solutions for Class 10 Science Chapter 9
Chapter 10 NCERT Solutions for Class 10 Science Chapter 10
Chapter 11 NCERT Solutions for Class 10 Science Chapter 11
Chapter 12 NCERT Solutions for Class 10 Science Chapter 12
Chapter 13 NCERT Solutions for Class 10 Science Chapter 13
Chapter 14 NCERT Solutions for Class 10 Science Chapter 14

Q.1 The human eye can focus on objects at different distances by adjusting the focal length of the eye lens. This is due to

(a) presbyopia.
(b) accommodation.
(c) near-sightedness.
(d) far-sightedness.

Ans-

Answer: The correct option is (b).
Explanation: Power of accommodation is the ability of eye lens to change its focal length so that the image of an object can be focused on the retina.

Q.2 The human eye forms the image of an object at its

(a) cornea.
(b) iris.
(c) pupil.
(d) retina.

Ans-

The correct option is (d).
Explanation: In the case of human eye, image is formed at retina.

Q.3 The least distance of distinct vision for a young adult with normal vision is about

(a) 25 m.
(b) 2.5 cm.
(c) 25 cm.
(d) 2.5 m.

Ans-

The correct option is (c).
Explanation: Least distance of distinct vision is the smallest distance at which the human eye can see the objects clearly without any strain. For a normal eye, it is 25 cm.

Q.4 The change in focal length of an eye lens is caused by the action of the

(a) pupil.
(b) retina.
(c) ciliary muscles.
(d) iris.

Ans-

The correct option is (c).
Explanation: The curvature of the eye lens can be changed by the relaxation or contraction of ciliary muscles. The change in curvature of the eye lens changes the focal length of the eyes. Thus, the change in focal length of an eye lens is caused by the action of ciliary muscles.

Q.5 A person needs a lens of power – 5.5 dioptres for correcting his distant vision. For correcting his near vision he needs a lens of power +1.5 dioptre. What is the focal length of the lens required for correcting
(i) distant vision, and
(ii) near vision?

Ans-

( i )Powerofthe lens used for correcting distance vision= -5.5 Focal length ( f )of the required lens f = 1 P f= 1 -5.5 =-0.181m Hence, the focal length of the lens for correcting distant vision = – 0.181 m.( ii )Powerof the lends used for correcting near vision = +1.5D Focal length (f) of the required lens, f = 1 P f= 1 1.5 D =+0.667m Hence, the focal length of the lens for correcting near vision is 0.667m. MathType@MTEF@5@5@+=feaaguart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLnhiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr4rNCHbGeaGqiVu0le9yqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=xfr=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@C4B3@

Q.6 The far point of a myopic person is 80 cm in front of the eye. What is the nature and power of the lens required to correct the problem?

Ans-

Given,u=¥ v=-80cm Onusing lens formula, 1 v 1 u = 1 f 1 80 1 ¥ = 1 f or,f=-80cm=-0.8m Now,P= 1 f( metres ) P= 1 -0.8 =-1.25D. Aconcave lens of power -1.25 D is required by the person to correct the defect. MathType@MTEF@5@5@+=feaaguart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLnhiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr4rNCHbGeaGqiVu0le9yqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=xfr=xb9adbaqaaeaacaGaaiaabeqaamaabaabaaGceiqabeaay=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@3324@

Q.7 Make a diagram to show how hypermetropia is corrected. The near point of a hypermetropic eye is 1 m. What is the power of the lens required to correct this defect? Assume that the near point of the normal eye is 25 cm.

Ans-

It is a visual defect in which an eye cannot see the nearby objects clearly. The image of the object, in this case, is formed beyond the retina and hence person experiences difficulty in understanding the object.

This defect of vision can be corrected by using a convex lens. A convex lens of suitable power converges the incoming light in such a way that the image is formed on the retina. The convex lens actually creates a virtual image of a nearby object (o’) at the near point of vision (o) of the person suffering from hypermetropia.
A person can clearly see the object kept at 25 cm, if the image of the object is formed at his near point, which is given as 1 m.

Given,u=-25cm v=-1m=-10cm Onusiglensformula, 1 v 1 u = 1 f 1 -100 1 -25 = 1 f or,f= 100 3 cm=33.3cm=0.33m Now,P= 1 f( metres ) P= 1 0.33m =+3D. Hence,aconvexlensofpower+3Disrequiredtocorrectthedefect. MathType@MTEF@5@5@+=feaaguart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLnhiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr4rNCHbGeaGqiVu0le9yqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=xfr=xb9adbaqaaeaacaGaaiaabeqaamaabaabaaGceaqabeaacaqGhbGaaeyAaiaabAhacaqGLbGaaeOBaiaabYcacaaMe8UaaeyDaiaaysW7caqG9aGaaGjbVlaab2cacaqGYaGaaeynaiaaysW7caqGJbGaaeyBaaqaaiaaysW7caaMe8UaaGjbVlaaysW7caaMe8UaaGjbVlaaysW7caaMe8UaaGjbVlaabAhacaaMe8UaaeypaiaaysW7caqGTaGaaeymaiaaysW7caqGTbGaaeypaiaab2cacaqGXaGaaeimaiaaysW7caqGJbGaaeyBaaqaaiaab+eacaqGUbGaaGjbVlaabwhacaqGZbGaaeyAaiaabEgacaaMe8UaaeiBaiaabwgacaqGUbGaae4CaiaaysW7caqGMbGaae4BaiaabkhacaqGTbGaaeyDaiaabYgacaqGHbGaaeilaaqaaiaaysW7caaMe8UaaGjbVlaaysW7caaMe8+aaSaaaeaacaqGXaaabaGaaeODaaaacaqGTaWaaSaaaeaacaqGXaaabaGaaeyDaaaacaqG9aWaaSaaaeaacaqGXaaabaGaaeOzaaaaaeaacaaMe8UaaGjbVlaaysW7caaMe8UaaGjbVpaalaaabaGaaeymaaqaaiaab2cacaqGXaGaaeimaiaabcdaaaGaaeylamaalaaabaGaaeymaaqaaiaab2cacaqGYaGaaeynaaaacaqG9aWaaSaaaeaacaqGXaaabaGaaeOzaaaaaeaacaqGVbGaaeOCaiaabYcacaaMe8UaaGjbVlaaysW7caaMe8UaaeOzaiaab2dadaWcaaqaaiaabgdacaqGWaGaaeimaaqaaiaabodaaaGaaGjbVlaabogacaqGTbGaaGjbVlaab2dacaqGZaGaae4maiaab6cacaqGZaGaaGjbVlaabogacaqGTbGaaGjbVlaab2dacaaMe8Uaaeimaiaab6cacaqGZaGaae4maiaaysW7caqGTbaabaGaaeOtaiaab+gacaqG3bGaaeilaiaaysW7caqGqbGaaGjbVlaab2dacaaMe8+aaSaaaeaacaqGXaaabaGaaeOzamaabmaabaGaaeyBaiaabwgacaqG0bGaaeOCaiaabwgacaqGZbaacaGLOaGaayzkaaaaaaqaaiabgsJiCjaaysW7caaMe8UaaGjbVlaaysW7caaMe8UaaGjbVlaabcfacaqG9aWaaSaaaeaacaqGXaaabaGaaeimaiaab6cacaqGZaGaae4maiaab2gaaaGaaeypaiaabUcacaqGZaGaaeiraiaab6caaeaacaqGibGaaeyzaiaab6gacaqGJbGaaeyzaiaabYcacaaMe8UaaeyyaiaaysW7caqGJbGaae4Baiaab6gacaqG2bGaaeyzaiaabIhacaaMe8UaaeiBaiaabwgacaqGUbGaae4CaiaaysW7caqGVbGaaeOzaiaaysW7caqGWbGaae4BaiaabEhacaqGLbGaaeOCaiaaysW7caqGRaGaae4maiaabseacaaMe8UaaeyAaiaabohacaaMe8UaaeOCaiaabwgacaqGXbGaaeyDaiaabMgacaqGYbGaaeyzaiaabsgacaaMe8UaaeiDaiaab+gacaaMe8Uaae4yaiaab+gacaqGYbGaaeOCaiaabwgacaqGJbGaaeiDaiaaysW7caqG0bGaaeiAaiaabwgacaaMe8UaaeizaiaabwgacaqGMbGaaeyzaiaabogacaqG0bGaaeOlaaaaaa@2765@

Q.8 Why is a normal eye not able to see clearly the objects placed closer than 25 cm?

Ans-

As the ciliary muscles of eyes are incapable to contract beyond a certain limit hence, a normal eye cannot see clearly the objects kept closer than 25 cm. If an object is kept at a distance less than 25 cm from the eye, then the object seems blurred and produces strain in the eyes.

Q.9 What happens to the image distance in the eye when we increase the distance of an object from the eye?

Ans-

For an eye, the image distance always remains constant as the size of eyes cannot increase or decrease. The increase in the object distance is balanced by the change in the focal length of the eye lens. The eye changes its focal length focal length in such a way that the image is always formed at retina.

Q.10 Why do stars twinkle?

Ans-

Twinkling of stars is due to the atmospheric refraction of light. As stars are too far from the earth therefore, they can be considered as point sources of light. When the light coming from stars passes through the earth’s atmosphere, it gets refracted at different levels because of the variation in the air density at different levels of the atmosphere. When the star light refracted by the atmosphere, it comes more towards us. It appears brighter when it comes less towards us.

Q.11 Explain why the planets do not twinkle.

Ans-

Planets do not twinkle like stars because planets are much closer to the earth and are thus seen as extended objects. If we consider planet as a collection of large number of point-sized sources of light, sources of light the variation in amount of light entering our eye from all the individual point sized sources will average out to zero, thereby nullifying the twinkling effect.

Q.12 Why does the Sun appear reddish early in the morning?

Ans-

During sunrise, the light coming from the Sun has to travel a larger distance in the earth’s atmosphere before entering to our eyes. During this, the shorter wavelengths of lights are scattered out and only longer wavelengths are able to reach our eyes. As blue colour has a shorter wavelength and red colour has a longer wavelength, the red colour reaches to our eyes after the atmospheric scattering of light. Hence, the Sun seems reddish while sunrise.

Q.13 Why does the sky appear dark instead of blue to an astronaut?

Ans-

There is no atmosphere in the outer space. Due to this, the sunlight does not scatter and hence, no scattered light reaches to the eyes of astronauts in the space and hence, the sky appears black to them.

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FAQs (Frequently Asked Questions)

NCERT Solutions Class 10 Science Chapter 11 cover Electricity, including electric current, potential difference, Ohm’s law, resistance, resistivity, series and parallel resistors, heating effect of electric current and electric power.

Ohm’s law states that V = IR, where V is potential difference, I is current and R is resistance, provided temperature remains constant.

The formula is R = ρl/A. Here, ρ is resistivity, l is length and A is area of cross-section.

In series, the same current flows through all resistors and Rₛ = R₁ + R₂ + R₃. In parallel, the same voltage acts across each branch and 1/Rₚ = 1/R₁ + 1/R₂ + 1/R₃.

Electric power is P = VI. It can also be written as P = I²R or P = V²/R.