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All questions of Electricity for Class 10 Exam

The resistivity of a wire depends on its
  • a)
    Length
  • b)
    Cross-sectional area
  • c)
    Dimensions
  • d)
    Material
Correct answer is option 'D'. Can you explain this answer?

Ritu Saxena answered
From Resistance,

Where R = resistance, l = length, A = area of cross-section and ρ = resistivity
If l = 1 m and A = 1 m2, then
R = ρ i.e.
  • Resistivity is numerically equal to the resistance of a substance having unit area of cross-section and unit length.
  • Resistivity is the intrinsic property of the substance. It is independent of shape and size of the body i.e. on length and area. Hence, option 1 and 2 is incorrect.
  • Formula of resistivity is 
    Where, m = mass of electron, n = Number of electron per unit volume of the conductor, τ = relaxation time.
  • Therefore, the resistivity of a wire depends on its material (n)
  • For different substances their resistivity is also different as ‘n’ will be different.
  • Resistivity depends on the temperature.

Calculate the electrical energy consumed by an electric bulb of 200 watt in 15 hours
  • a)
    3 kwh
  • b)
    5 kwh
  • c)
    6 kwh
  • d)
    30 kwh
Correct answer is option 'A'. Can you explain this answer?

Rounak Joshi answered
To calculate the electrical energy consumed by an electric bulb, we need to use the formula:

Energy (in kilowatt-hours) = Power (in kilowatts) × Time (in hours)

Given:
Power of the electric bulb = 200 watts
Time = 15 hours

Using the formula, we can calculate the energy consumed as follows:

Energy = (Power × Time)/1000

Substituting the given values:

Energy = (200 × 15)/1000
= 3000/1000
= 3 kilowatt-hours (kWh)

Therefore, the electrical energy consumed by the electric bulb in 15 hours is 3 kWh.

Explanation:
- The formula for calculating electrical energy is Energy = Power × Time.
- In this case, the power of the electric bulb is given as 200 watts and the time is given as 15 hours.
- To use the formula, we need to convert the power from watts to kilowatts by dividing it by 1000.
- After substituting the values into the formula, we calculate the energy consumed as 3 kilowatt-hours (kWh).
- This means that the electric bulb consumes 3 kilowatt-hours of electrical energy over a period of 15 hours.

If a wire of resistance R is stretched to double of its length, then new resistance will be:
  • a)
    Two - times
  • b)
    Four - times
  • c)
    Eight – times
  • d)
    Remains the same
Correct answer is option 'B'. Can you explain this answer?

Ritu Saxena answered
When length (l) of a wire doubled (2 l), its cross-sectional area (A) is reduced to half (A/2) as the volume of the wire is constant.
Now resistance of the wire

A multimeter is used to measure
  • a)
    Current only
  • b)
    Resistance only
  • c)
    Voltage only
  • d)
    All of the above
Correct answer is option 'D'. Can you explain this answer?

Ritu Saxena answered
  • A multimeter can measure voltage, current, and resistance.
  • It can also be used to generate square wave and for checking shorts in a circuit.
  • An ammeter is an instrument for measuring electric current in amperes while Voltmeter is an instrument for measuring electric potential in volts.
  • An ohmmeter is an electrical instrument that measures electrical resistance.

We have three resistors containing 3 ohms each. To get an equivalent resistance of 2 ohms, we should connect them
  • a)
    In series
  • b)
    In parallel
  • c)
    Two in parallel and third in series with combination
  • d)
    Two in series and third in parallel in a combination
Correct answer is option 'D'. Can you explain this answer?

Tanvi verma answered
Explanation:


To find the equivalent resistance of a combination of resistors, we need to consider the rules for resistors connected in series and parallel.

Resistors in Series:
When resistors are connected in series, their resistances add up. The equivalent resistance (Rₑ) of resistors in series can be calculated using the formula:

Rₑ = R₁ + R₂ + R₃ + ...

Resistors in Parallel:
When resistors are connected in parallel, their equivalent resistance is given by the formula:

1/Rₑ = 1/R₁ + 1/R₂ + 1/R₃ + ...

Combination:
To achieve an equivalent resistance of 2 ohms using three 3-ohm resistors, we need to connect them in a combination of series and parallel.

Connecting the resistors:
By connecting two resistors in series, we can achieve an equivalent resistance of 6 ohms (3 + 3 = 6). Let's call this combination A.

By connecting the third resistor in parallel with combination A, we can calculate the equivalent resistance.

1/Rₑ = 1/6 + 1/3

Simplifying the equation:

1/Rₑ = 1/6 + 2/6

1/Rₑ = 3/6

1/Rₑ = 1/2

Rₑ = 2 ohms

Therefore, connecting two resistors in series and the third resistor in parallel with the combination will give us an equivalent resistance of 2 ohms. The correct answer is option 'D'.

Note: It is important to understand the concepts of series and parallel connections of resistors to solve such problems.

The flow of electric current can be compared to that of water flow because current flows from
  • a)
    Higher potential difference to lower potential difference
  • b)
    Higher resistance to lower resistance
  • c)
    Higher potential energy to lower potential energy
  • d)
    Any direction of the circuit
Correct answer is option 'A'. Can you explain this answer?

Radha Iyer answered
When two points at different potentials are connected with the help of a conductor, electric current flows through the conductor from the point at a higher potential to the point at a lower potential till the potentials of both points are same.

How much work is done in moving a charge of 5 C from a point in circuit at 220 volts to another point at 240 volts ?
  • a)
    50 Joules
  • b)
    100 Joules
  • c)
    125 Joules
  • d)
    250 Joules
Correct answer is option 'B'. Can you explain this answer?

Pooja chauhan answered
To determine the amount of work done in moving a charge from one point to another in an electric circuit, we can use the formula:

Work = Charge × Voltage

Here, the charge is given as 5 C (coulombs), and the voltage difference between the two points is given as 240 volts - 220 volts = 20 volts.

Hence, the work done can be calculated as:

Work = 5 C × 20 V = 100 Joules

Therefore, the correct answer is option B, 100 Joules.

Explanation:
To understand why the work done is 100 Joules, let's break down the concept behind it.

The work done in an electric circuit is given by the product of the charge and the voltage. When a charge moves from a point with lower potential (220 volts) to a point with higher potential (240 volts), work is done on the charge by an external agent.

The work done on a charge can be thought of as the energy transferred to the charge. In this case, as the charge moves against the electric field, energy is required to overcome the potential difference.

The unit of work is Joules, which represents the amount of energy transferred. In this scenario, the charge of 5 C is moved across a potential difference of 20 volts. Multiplying these values together gives us the amount of work done, which is 100 Joules.

Therefore, the correct answer is option B, 100 Joules.

A 60 W bulb carries a current of 0.5A. The charge that passes through it in 2 hours is
  • a)
    3600 C
  • b)
    3000 C
  • c)
    6000 C
  • d)
    1500 C
Correct answer is option 'A'. Can you explain this answer?

Ritu Saxena answered
Q = I t = 0.5 × (2 × 60 min × 60 sec) = 3600 seconds
Note : wattage of the bulb does not affect the flow of charge in this case

If equal resistances of 5 Ω each are connected in parallel with a battery, then
  • a)
    The total resistance is also 5 Ω
  • b)
    The current flowing in each resistor will be same
  • c)
    The potential difference across each resistance is not same
  • d)
    None of the above
Correct answer is option 'B'. Can you explain this answer?

Ritu Saxena answered
Consider the wire of resistance 'R' is cut into five equal parts
Thus, Resistance of each part will be R/5
Equivalent resistance R' will be given by,
1/R' = 5/R + 5/R + 5/R + 5/R + 5/R  ...( resistances connected in parallel)
Thus, equivalent resistance R' = R/25.

Find out the equivalent resistance of the circuit given below:
  • a)
    6 Ω
  • b)
    10 Ω
  • c)
    12 Ω
  • d)
    8 Ω
Correct answer is option 'B'. Can you explain this answer?

Ritu Saxena answered
Three resistors of 12 Ω each in parallel have effective resistance Re, as

This effective Re is in series with two other resistors of 2 Ω and 4 Ω. Thus, overall resistance of whole circuit is
Rc = Re + R1 + R2 = 4 + 2 + 4 = 10 Ω

The proper presentation of series combination of cells of obtain maximum potential is
  • a)
    Fig (i)
  • b)
    Fig (ii)
  • c)
    Fig (iii)
  • d)
    None of these
Correct answer is option 'A'. Can you explain this answer?

Ritu Saxena answered
For series combination of cells, the negative terminal of first cell should be connected to the positive terminal of the second cell, and so on.

The V-I graph of three resistors A, B and C are as shown in the figure given below. Which resistors has the maximum resistance?
  • a)
    A
  • b)
    B
  • c)
    C
  • d)
    All three have same resistances
Correct answer is option 'A'. Can you explain this answer?

Ritu Saxena answered
By Ohm’s Law V = IR
⇒ R= V/I = slope of V-I graph 
Therefore, the slope of the V-I graph represents the effective resistance. 
Now in series combination of the resistance all the resistances get summed up 
Req = R1 + R2 + R3+ ………….+ Rn. 
Therefore, the series combination will have the maximum resistance than the other resistors.
Hence the line with maximum slope (line C) will give the series combination of the other two resistors.

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