NCERT Solution Class X Science Electricity Question 1 (Ex 12.5)

Question 1:

Judge the equivalent resistance when the following are connected in parallel −

(a) 1 Ω and 106 Ω,    (b) 1 Ω and 103 Ω and 106 Ω.

Answer:

(a) When 1 Ω and 106 Ω are connected in parallel:

Let R be the equivalent resistance.

Therefore, equivalent resistance ≈ 1 Ω

(b) When 1 Ω , 103 Ω, and 106 Ω are connected in parallel:

Let R be the equivalent resistance.

Therefore, equivalent resistance = 0.999 Ω

NCERT Solution Class X Science Electricity Question 2 (Ex 12.4)

Question 2:

Redraw the circuit of question 1, putting in an ammeter to measure the current

through the resistors and a voltmeter to measure potential difference across the

12 Ω resistor.What would be the readings in the ammeter and the voltmeter?

Answer:

To measure the current flowing through the resistors, an ammeter should be

connected in the circuit in series with the resistors. To measure the potential

difference across the 12 Ω resistor, a voltmeter should be connected parallel to

this resistor, as shown in the following figure.

The resistances are connected in series.

Ohm’s law can be used to obtain the readings of ammeter and voltmeter. According

to Ohm’s law,

V = IR,

Where,

Potential difference, V = 6 V

Current flowing through the circuit/resistors = I

Resistance of the circuit, R = 5 + 8 + 12 = 25 Ω

Potential difference across 12 Ω resistor = V1

Current flowing through the 12 Ω resistor, I = 0.24 A

V1 = IR = 0.24 × 12 = 2.88 V

Therefore, the reading of the ammeter will be 0.24 A.

The reading of the voltmeter will be 2.88 V.

NCERT Solution Class X Science Electricity Question 1 (Ex 12.4)

Question 1:

Draw a schematic diagram of a circuit consisting of a battery of three cells of 2 V

each, a 5 Ω resistor, an 8 Ω resistor, and a 12 Ω resistor, and a plug key, all

connected in series.

Answer:

Three cells of potential 2 V, each connected in series, is equivalent to a battery of

potential 2 V + 2 V + 2 V = 6V. The following circuit diagram shows three resistors

of resistances 5 Ω, 8 Ω and 12 Ω respectively connected in series and a battery of

potential 6V.

NCERT Solution Class X Science Electricity Question 5 (Ex 12.3)

Question 5:

Use the data in Table 12.2 to answer the following −

Table 12.2 Electrical resistivity of some substances at 20°C

(a) Which among iron and mercury is a better conductor?

(b) Which material is the best conductor?

Answer:

(a) Resistivity of iron = 10.0 × 10−8 Ω m

Resistivity of mercury = 94.0 × 10−8 Ω m

Resistivity of mercury is more than that of iron. This implies that iron is a better

conductor than mercury.

(b) It can be observed from Table 12.2 that the resistivity of silver is the lowest

among the listed materials. Hence, it is the best conductor.

NCERT Solution Class X Science Electricity Question 4 (Ex 12.3)

Question 4:

Why are coils of electric toasters and electric irons made of an alloy rather than a

pure metal?

Answer:

The resistivity of an alloy is higher than the pure metal. Moreover, at high

temperatures,the alloys do not melt readily. Hence, the coils of heating appliances

such as electric toasters and electric irons are made of an alloy rather than a pure

metal.

NCERT Solution Class X Science Electricity Question 3 (Ex 12.3)

Question 3:

Let the resistance of an electrical component remains constant while the potential

difference across the two ends of the component decreases to half of its former

value.What change will occur in the current through it?

Answer:

The change in the current flowing through the component is given by Ohm’s law as,

V = IR

I = V/R

Where,

Resistance of the electrical component = R

Potential difference = V

Current = I

The potential difference is reduced to half, keeping resistance constant.

Let the new resistance be R’ and the new amount of current be I ‘.

Therefore, from Ohm’s law, we obtain the amount of new current.

Therefore, the amount of current flowing through the electrical component is

reduced by half.

NCERT Solution Class X Science Electricity Question 2 (Ex 12.3)

Question 2:

Will current flow more easily through a thick wire or a thin wire of the same

material,when connected to the same source? Why?

Answer:

Resistance of a wire, 

Where,

ρ = Resistivity of the material of the wire

l = Length of the wire

A = Area of cross-section of the wire

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

Thicker the wire, lower is the resistance of the wire and vice-versa. Therefore,

current can flow more easily through a thick wire than a thin wire.

NCERT Solution Class X Science Electricity Question 3 (Ex 12.2)

Question 3:

How much energy is given to each coulomb of charge passing through a 6 V battery?

Answer:

The energy given to each coulomb of charge is equal to the amount of work required

to move it. The amount of work is given by the expression,

Work done = Potential Difference × Charges

Where,

Charge = 1 C

Potential difference = 6 V

Work Done = 6 × 1 = 6 J

Therefore, 6 J of energy is given to each coulomb of charge passing through a

battery of 6v.

NCERT Solution Class X Science Electricity Question 3 (Ex 12.1)

Question 3:

Calculate the number of electrons constituting one coulomb of charge.

Answer:

One electron possesses a charge of 1.6 × 10−19 C, i.e., 1.6 × 10−19 C of charge is

contained in 1 electron.

∴ 1 C of charge is contained in 

Therefore, 6 × 1018 electrons constitute one coulomb of charge.

NCERT Solution Class X Science Human Eye and Colourful World Question 11 (Ex 11.2)

Question 11:

Why does the Sun appear reddish early in the morning?

Answer:

During sunrise, the light rays coming from the Sun have to travel a greater distance

in the earth’s atmosphere before reaching our eyes. In this journey, the shorter

wavelengths of lights are scattered out and only longer wavelengths are able to

reach our eyes. Since blue colour has a shorter wavelength and red colour has a

longer wavelength, the red colour is able to reach our eyes after the atmospheric

scattering of light.Therefore, the Sun appears reddish early in the morning.

NCERT Solution Class X Science Human Eye and Colourful World Question 10 (Ex 11.2)

Question 10:

Explain why the planets do not twinkle?

Answer:

Planets do not twinkle because they appear larger in size than the stars as they

are relatively closer to earth. Planets can be considered as a collection of a large

number of point-size sources of light. The different parts of these planets produce

either brighter or dimmer effect in such a way that the average of brighter and

dimmer effect is zero.Hence, the twinkling effects of the planets are nullified and

they do not twinkle.

NCERT Solution Class X Science Human Eye and Colourful World Question 9 (Ex 11.2)

Question 9:

Why do stars twinkle?

Answer:

Stars emit their own light and they twinkle due to the atmospheric refraction of

light. Stars are very far away from the earth. Hence, they are considered as point

sources of light. When the light coming from stars enters 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

comes more towards us, it appears brighter than when it comes less towards us.

Therefore, it appears as if the stars are twinkling at night.

NCERT Solution Class X Science Human Eye and Colourful World Question 8 (Ex 11.2)

Question 8:

What happens to the image distance in the eye when we increase the distance of

an object from the eye?

Answer:

Since the size of eyes cannot increase or decrease, the image distance remains

constant.

When we increase the distance of an object from the eye, the image distance in

the eye does not change. The increase in the object distance is compensated by

the change in the focal length of the eye lens. The focal length of the eyes changes

in such a way that the image is always formed at the retina of the eye.

NCERT Solution Class X Science Human Eye and Colourful World Question 7 (Ex 11.2)

Question 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.

Answer:

A person suffering from hypermetropia can see distinct objects clearly but faces

difficulty in seeing nearby objects clearly. It happens because the eye lens focuses

the incoming divergent rays beyond the retina. This defect of vision is 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, as shown in the following

figure.

 

The convex lens actually creates a virtual image of a nearby object (N’ in the figure)

at the near point of vision (N) of the person suffering from hypermetropia.

The given person will be able to clearly see the object kept at 25 cm (near point of

the normal eye), if the image of the object is formed at his near point, which is

given as 1 m.

Object distance, u = −25 cm

Image distance, v = −1 m = −100 m

Focal length, f

Using the lens formula,

 

 

A convex lens of power +3.0 D is required to correct the defect.

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