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All questions of Electricity for Class 10 Exam

To get 2Ω resistance using only 6Ω resistors, the number of them required is
  • a)
    2
  • b)
    3
  • c)
    4
  • d)
    6
Correct answer is option 'B'. Can you explain this answer?

Avinash Patel answered
Three resistors of 2Ω is required to get 6Ω because resultant is more than individual so they all must be connected in series.

The potential difference of a circuit is constant. If the resistance of a circuit is doubled, then its current will become;
  • a)
    4 I
  • b)
    I/2
  • c)
    2 I
  • d)
    I
Correct answer is 'B'. Can you explain this answer?

According to ohm's law
Current (I) = Potential difference (V) / Resistance(R)

If the potential difference is maintained constant and the resistance is changed,

Cureent (I) is inversely proportinal to the reisistance (R)


V = IR  --(1)

Now, here V is constant.
Let , new resistance R' = 2R and assume that current flow be I'
So, from (1),
IR = I'. R',
=> IR = I'. 2R,
Therefore, I' = I / 2

So,

If the resistance is doubled by applying the constant potential difference the current becomes the half of the previous.

The combined resistance of 6Ω and 12Ω connected in parallel is
  • A:

    6 Ω

  • B:

    2 Ω

  • C:

    18 Ω

  • D:

    4 Ω

The answer is d.

Raghav Bansal answered
Explanation:-   In parallel, we know ; 
1/ R p  = 1/R1 + 1/R2 + ----------
1/ Rp  =   1/ 6 + 1/12 
1/ Rp   =  1/ 4
Therefore  , Rp = 4 ohm.

Can you explain the answer of this question below:
If the current passing through a heater is halved, then the heat produced by it becomes
  • A:
    H/2
  • B:
    4H
  • C:
    H/4
  • D:
    2H
The answer is c.

Ananya Das answered
If the current passing through an electric heater has been halved then the heat produced will also be reduced to one fourth because H=I2 RT.

If four resistors each of 1Ω are connected in parallel, the effective resistance will be
  • a)
    0.5Ω
  • b)
    0.25Ω
  • c)
  • d)
Correct answer is option 'B'. Can you explain this answer?

Gaurav Kumar answered
If four resistors each of 1Ω are connected in parallel, the effective resistance will be 0.25Ω..
As, in parralel connection,
1/Reff. = 1/R1 + 1/R2 + ....

Conventional direction of electric current is from
  • a)
    Lower potential to higher potential
  • b)
    Higher resistance to lower resistance
  • c)
    Positive to negative terminal
  • d)
    Negative to positive terminal
Correct answer is 'C'. Can you explain this answer?

Rahul Kapoor answered
The flow of electrons is termed electron current. Electrons flow from the negative terminal to the positive. Conventional current or simply current, behaves as if positive charge carriers cause current flow. Conventional current flows from the positive terminal to the negative.

A wire of resistance 8Ω is bent in the form of a closed circle. What is the effective resistance between the two points A and B, at the ends of any diameter of the circle ?
  • a)
  • b)
  • c)
  • d)
Correct answer is option 'C'. Can you explain this answer?

Flembe Academy answered
When a wire of 8Ω resistance is bent in the form of a closed circle, resistance of each half (semicircular) part is 8/2 Ω = 4Ω. 
As these two parts are connected in parallel across points A and B, hence effective resistance will be 2Ω. 

SI unit of resistivity is
  • a)
    ohm/metre
  • b)
    ohm-metre
  • c)
    ohm/(metre)3
  • d)
    ohm/(metre)2
Correct answer is option 'B'. Can you explain this answer?

Krishna Iyer answered
As resistivity of the material of a resistor of length l, cross-section area A and resistance R is given by :ρ = R.A/I, hence SI unit of resistivity is ohm -metre (Ω m).

A combination of three resistances has been shown here. Effective resistance between the points A and B is
  • a)
  • b)
  • c)
  • d)
Correct answer is option 'C'. Can you explain this answer?

Pooja Shah answered
Value of series combination of 2Ω and 2Ω resistances = 4Ω. As it is now connected in parallel to 4Ω resistance, hence the effective resistance R between the points A and B will be

A resistance wire is stretched so as to double its length. Its new resistivity will have a magnitude
  • a)
    2 times its original value
  • b)
    4 times its original value 
  • c)
    8 times its original valu
  • d)
    same as its original value
Correct answer is option 'D'. Can you explain this answer?

Anita Menon answered
When a wire is stretched, its resistivity remains unchanged. It is because resistivity of a conductor depends only on its material and is independent of its length or cross- section area.

The opposing capacity of materials against the current flow is
  • a)
    Conductance
  • b)
    Inductance
  • c)
    Susceptance
  • d)
    Resistance
Correct answer is option 'D'. Can you explain this answer?

Rahul Kapoor answered
The electrical resistance of an electrical conductor is a measure of the difficulty to pass an electric current through that conductor. 

Resistance in a conductor can be defined as the opposition offered to the flow of electrons. For a conductor of uniform cross-sectional area resistance is directly proportional to the length of the conductor and inversely proportional to the cross-sectional area of the conductor.

The resistance of a conductor increases with-
I: Increase in length
II: Increase in volume
III: Decrease in area
  • a)
    I or III
  • b)
    II only
  • c)
    I or II
  • d)
    III only
Correct answer is option 'A'. Can you explain this answer?

💐 answered
Resistance is directly proportional to Length nd inversely proportional to Area


Hence , resistance increase with increase in area nd increases with decrease in area !!!

Two light bulbs P and Q are identical in all respects, except that P’s filament is thicker than Q’s. If the same potential difference is applied to each, then
  • a)
    P will burn brighter because it has the lower resistance
  • b)
    Q will burn brighter because it has the lower resistance.
  • c)
    Q will burn brighter because it has the greater resistance.
  • d)
    P will burn brighter because it has the greater resistance.
Correct answer is 'A'. Can you explain this answer?

Divyansh Mehta answered
Explanation:

When the same potential difference is applied to two light bulbs, the bulb with lower resistance will draw more current and dissipate more power, causing it to shine brighter.

The resistance of a conductor is directly proportional to its length and inversely proportional to its cross-sectional area. Therefore, thicker filaments have lower resistance than thinner filaments.

Reasoning:

P has a thicker filament than Q, which means it has a lower resistance. Therefore, P will draw more current and dissipate more power than Q, causing it to shine brighter.

Q has a thinner filament than P, which means it has a higher resistance. Therefore, Q will draw less current and dissipate less power than P, causing it to shine dimmer.

Answer:

Hence, the correct answer is option A, which states that P will burn brighter because it has the lower resistance.

Can you explain the answer of this question below:
The decrease of resistance in parallel combination is due to:
  • A:
    The decrease in effective area of the cross-section.
  • B:
    The increase in effective area of the cross-section.
  • C:
    The decrease in effective length.
  • D:
    None of the above
The answer is b.

Rohan Kapoor answered
Resistance (R)depends on the resistivity of the nuteial (pl. length of the oats' (Li and cross sectional area (A) of the material following the equation: 
R = p* L/A 
When hooking resistors in parallel, you are increasingthecross sectional area of the resistance path. If you like to use the water hose analogy, you are draining the tub (battery - power source)with two hoses (resistors)instead of one. It makes the tub move water (current) Faster because you have more paths (bigger cross sectional area) for the water to flow. 
If you look at the original equation above you will notice that replacing A with 2A (two of the same resistors in parade) you will cut the resistance in half. 
That's the theory. In practice. to find the resistance you would Ix/mayjust add the reciprocal ol the usevidual resistors to get the reciprocal of the total resistance 
1/R  -total = 1/RI + 1/R2 + 1/R3 + .... 
for however many resistors you have in parallel. For example. 
If you have only 2 resistors in parallel. a 50 ohm in parallel with a 100 ohm resistor then... 
1/R - total = 1 /50 ohm + 1/100 ohm = 2/100 ohm + 1/100 ohm 
= 3/100 ohm 

so,
R - total = 103/3 = 33.3 ohm (most peocre forget die step) 
A good rule to remember is that you total resistance is less than the smallest resistor when they are connected in parallel. 

The resistance of an alloy :
  • a)
    increases with temperature
  • b)
    decreases with temperature
  • c)
    is constant with rise in temperature
  • d)
    is zero
Correct answer is option 'A'. Can you explain this answer?

Bibek Iyer answered
The resistance of an alloy increases with temperature.

Explanation:

When an electric current flows through a material, it encounters resistance, which is the opposition to the flow of electric charge. The resistance of a material depends on various factors, including temperature.

Effect of Temperature on Resistance:

The resistance of most materials, including metals and alloys, increases with an increase in temperature. This phenomenon is referred to as the positive temperature coefficient of resistance.

Factors contributing to the increase in resistance with temperature:

1. Atomic Vibrations:

As the temperature of a material increases, the atoms or ions in the material gain thermal energy and start vibrating more vigorously. This increased atomic vibration leads to more frequent collisions between the moving electrons and the vibrating atoms. These collisions impede the flow of electrons, increasing the resistance.

2. Electron-Atom Collisions:

The increased atomic vibrations also result in more collisions between the electrons and the atoms. These collisions scatter the electrons, making it more difficult for them to move through the material. Consequently, the resistance of the material increases.

3. Changes in Electron Mobility:

At higher temperatures, the electron mobility, which is the ability of electrons to move freely in a material, decreases. This decrease in electron mobility further contributes to the increase in resistance.

Exceptions:

There are a few materials, such as certain semiconductors and superconductors, that exhibit a negative temperature coefficient of resistance. In these materials, the resistance decreases with an increase in temperature.

Conclusion:

In the case of alloys, which are typically metallic substances composed of two or more elements, the resistance increases with temperature due to the increased atomic vibrations, electron-atom collisions, and reduced electron mobility. This phenomenon is important to consider in various applications, such as electrical circuits and devices, where temperature changes can affect the overall performance and efficiency.

Which alloy is used to prepare the heating element of an electric iron ?
  • a)
    Constanton
  • b)
    Tin-lead alloy
  • c)
    German silver
  • d)
    Nichrome
Correct answer is option 'D'. Can you explain this answer?

Amit Sharma answered
An alloy ‘nichrome’ is used to prepare the heating element of an electric iron because its resistivity is high, its melting point is high and it does not oxidise easily.

Three resistors of 1Ω, 2 Ω and 3 Ω are connected in series with a battery of 12 V as shown in figure. Values of potential differences V1, V2, V3 across the three resistors have respective values :
  • a)
    2 V, 4 V, 6 V
  • b)
    6 V, 4 V, 2 V
  • c)
    3 V , 2 V , 1 V
  • d)
Correct answer is option 'A'. Can you explain this answer?

Vp Classes answered
In series grouping current I is same throughout and potential differences are directly proportional to respective resistances.
In given circuit 
∴ V1 = IR= 2 A x 1Ω = 2V,
V2 = IR2 = 2 A x 2 Ω = 4 V and
V3 = IR3 = 2 A x 3 Ω = 6 V.

A certain wire has a resistance R. The resistance of another wire identical with the first and having twice its diameter is;
  • a)
    0.5 R
  • b)
    0.25 R
  • c)
    4 R
  • d)
    2 R
Correct answer is option 'B'. Can you explain this answer?

Rahul Kapoor answered
Resistance of a wire is inversely proportional to the cross−sectional area:
R α 1/A   
  α 1/πd^2/4  
  α 1/d^2

R'/R = (d/d')^2
R'= R(d/2d)^2    
  = R/4    
  = 0.25 R

 Which of the following terms does not represent electrical power in a circuit?
  • a)
    V2/R
  • b)
    I2R
  • c)
    IR2
  • d)
    VI
Correct answer is option 'C'. Can you explain this answer?

Electric power in terms of current = IR2 and in terms of voltage = V2/R and in terms of voltage and current both = VI

Directions: In the following questions, a statement of assertion (A) is followed by a statement of reason (R). Mark the correct choice as:
Assertion : Insulators do not allow flow of current through themselves.
Reason : They have no free-charge carriers.
  • a)
    Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).
  • b)
    Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).
  • c)
    Assertion (A) is true but reason (R) is false.
  • d)
    Assertion (A) is false but reason (R) is true.
  • e)
    Both Assertion and Reason are false.
Correct answer is option 'A'. Can you explain this answer?

Assertion: Insulators do not allow flow of current through themselves.
Reason: They have no free-charge carriers.

Explanation:
Insulators are materials that do not conduct electricity easily. They have high resistivity and do not allow the flow of electric current through themselves.

Assertion (A) is true: Insulators do not allow the flow of current through themselves. This is because insulators have a large band gap between their valence band and conduction band, which means that the electrons in the valence band are tightly bound to their atoms and cannot move freely.

Reason (R) is true: Insulators have no free-charge carriers. Unlike conductors, insulators have very few free electrons that can move through the material and carry electric current. The valence electrons in the insulator are tightly bound to their atoms and are not available for conduction.

Reason (R) is the correct explanation of assertion (A): The reason for insulators not allowing the flow of current through themselves is that they have no free-charge carriers. In order for current to flow, there needs to be a movement of charge carriers, such as electrons. In the case of insulators, the tightly bound electrons in the valence band cannot move freely, leading to the absence of current flow.

Therefore, option A is the correct choice: Both assertion (A) and reason (R) are true, and reason (R) is the correct explanation of assertion (A).

Can you explain the answer of this question below:
Two bulbs marked 200 watt-250 volts and 100 watt-250 volts are joined in series to 250 volts supply. Power consumed in circuit is
  • A:
    67 watt
  • B:
    100 watt
  • C:
    300 watt
  • D:
    33 watt
The answer is a.

Rajiv Gupta answered
We know that, R = V^2 /P
Hence resistance of 1st bulb = (250)^2 / 200 = 625/2
resistance of 2nd bulb = (250)^2 / 100 = 625
Total resistance of the circuit when the bulbs are connceted in series = 625/2 + 625 = 1875/2 ohm
Therefore, total power consumed in the circuit , P = (250)^2 / (1875/2) = 67 watt

Two light bulbs are marked 230 V; 75 W and 230 V; 150 W. If the first bulb has a resistance R, then the resistance of the second is;
  • a)
    2R
  • b)
    (1/2)R
  • c)
    4R
  • d)
    (1/4) R
Correct answer is option 'B'. Can you explain this answer?

Pooja Shah answered
Power = voltage * current 
=  Voltage * ( voltage / resistance) 
Hence, if P is power, V is Voltage and R is resistance, then R = V ^2/ R 
Hence for first bulb, R1 = V^2/75 = R
For second bulb, R2 = V^2 / 150
 = > ½ (V^2/75) = R/2 
=> R/2

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