CBSE Class 10 Physics Electricity MCQs Set 14

Download CBSE MCQs for Class 10 Physics: Chapter 11 Electricity

Explore reliable objective questions for Chapter 11 Electricity tailored for Class 10 learners. Utilizing these Physics multiple-choice formats ensures thorough preparation and strengthens problem-solving speed for upcoming school assessments.

Chapter-wise Objective Questions: Chapter 11 Electricity

Navigate directly to the 50 objective questions for Chapter 11 Electricity using the digital viewer below. Each practice set includes verified answer keys, allowing students to instantly cross-check their work and identify areas requiring further revision.

Multiple Choice Questions

Question 1: Five tube lights of 40 W each are used for 5 hours and an electric press of 500 W for 4 hours every day. What is the total energy used in 30 days?
(a) 30 kWh
(b) 60 kWh
(c) 90 kWh
(d) 150 kWh
Show Answer & Explanation

Answer: (c) 90 kWh

Explanation:
1. Tube lights: 5 x 40 W x 5 h = 1000 Wh = 1 kWh per day.
2. Press: 0.5 kW x 4 h = 2 kWh per day.
3. Total per day 3 kWh, so in 30 days 90 kWh.

Teacher's Note:
1. Find the daily energy first.
2. Then multiply by the number of days.

Question 2: A battery of EMF 10 V having internal resistance 2 \( \Omega \) is connected to an external resistance of 3 \( \Omega \). The terminal potential difference during the discharging mode of the battery is
(a) 6 V
(b) 2 V
(c) 1 V
(d) 10 V
Show Answer & Explanation

Answer: (a) 6 V

Explanation:
1. Current is 2 A, so \( V = E - Ir = 10 - 2 \times 2 = 6 \) V.
2. This equals the voltage across the external 3 ohm resistor: 2 x 3 = 6 V.

Teacher's Note:
1. Terminal voltage is lower than EMF while the battery supplies current.

Question 3: A wire of resistance 20 \( \Omega \) is bent into a closed circle. What is the effective resistance between the two ends of any diameter?
(a) \( 5\ \Omega \)
(b) \( 10\ \Omega \)
(c) \( 20\ \Omega \)
(d) \( 40\ \Omega \)
Show Answer & Explanation

Answer: (a) \( 5\ \Omega \)

Explanation:
1. The diameter divides the ring into two equal semicircles, each of resistance 10 ohm.
2. They are in parallel: \( 10/2 = 5\ \Omega \).

Teacher's Note:
1. Both halves connect the same two points, so they are in parallel.

Question 4: A torch bulb is rated 5.0 V and 500 mA. How much energy does it consume when it is lit for 4 hours?
(a) 2.5 J
(b) 36 000 J
(c) 9000 J
(d) 600 J
Show Answer & Explanation

Answer: (b) 36 000 J

Explanation:
1. Power \( P = VI = 5 \times 0.5 = 2.5 \) W.
2. Time = 4 x 3600 = 14 400 s, so \( E = 2.5 \times 14400 = 36000 \) J.

Teacher's Note:
1. Convert milliamp to amp and hours to seconds.
2. The resistance is 5/0.5 = 10 ohm.

Question 5: A 100 \( \Omega \) lamp, a 50 \( \Omega \) toaster and a 500 \( \Omega \) water filter are connected in parallel to a 220 V source. An electric iron connected to the same source draws as much current as all three together. What is the resistance of the iron?
(a) \( 16\ \Omega \)
(b) \( 31.25\ \Omega \)
(c) \( 62.5\ \Omega \)
(d) \( 650\ \Omega \)
Show Answer & Explanation

Answer: (b) \( 31.25\ \Omega \)

Explanation:
1. \( 1/R = 1/100 + 1/50 + 1/500 = (5+10+1)/500 = 16/500 \)
2. \( R = 31.25\ \Omega \), and the total current is \( 220/31.25 = 7.04 \) A.
3. The iron must have the same resistance as the combination: 31.25 ohm.

Teacher's Note:
1. Equal current at the same voltage means equal resistance.
2. Parallel combination is smaller than the smallest branch.

Question 6:
Assertion (A): Resistivity changes when a conductor is stretched or contracted.
Reason (R): Resistivity is a material property.
(a) Both A and R are true, and R is the correct explanation of A.
(b) Both A and R are true, but R is not the correct explanation of A.
(c) A is true, but R is false.
(d) A is false, but R is true.
Show Answer & Explanation

Answer: (d) A is false, but R is true.

Explanation:
1. Resistivity depends only on the material and temperature, not on the shape or size, so stretching does not change it. The assertion is false.
2. The reason is true.

Teacher's Note:
1. Resistance changes on stretching; resistivity does not.

Question 7: Two copper wires A and B have lengths 30 m and 10 m and radii 2 cm and 1 cm respectively. The ratio of resistance of A to that of B is
(a) 3 : 4
(b) 4 : 3
(c) 3 : 1
(d) 1 : 3
Show Answer & Explanation

Answer: (a) 3 : 4

Explanation:
1. \( R = \rho l/(\pi r^2) \), so \( R \propto l/r^2 \) for the same material.
2. A: 30/4 = 7.5; B: 10/1 = 10. Ratio = 7.5 : 10 = 3 : 4.
3. Wire A has the smaller resistance.

Teacher's Note:
1. Resistance depends on the square of the radius in the denominator.
2. Doubling the radius cuts the resistance to one quarter.

Question 8: How much work is done in moving a charge of 2 C from a point at 20 V to a point at 40 V?
(a) 10 J
(b) 20 J
(c) 40 J
(d) 80 J
Show Answer & Explanation

Answer: (c) 40 J

Explanation:
1. Potential difference = 40 - 20 = 20 V.
2. \( W = q\,\Delta V = 2 \times 20 = 40 \) J.

Teacher's Note:
1. Only the potential difference matters, not the individual potentials.

Question 9:
Assertion (A): The resistance of a conductor is proportional to the square of its length.
Reason (R): \( R = \rho \dfrac{l}{A} \)
(a) Both A and R are true, and R is the correct explanation of A.
(b) Both A and R are true, but R is not the correct explanation of A.
(c) A is true, but R is false.
(d) A is false, but R is true.
Show Answer & Explanation

Answer: (d) A is false, but R is true.

Explanation:
1. From \( R = \rho l/A \), resistance is directly proportional to length, not to its square, so the assertion is false (for a fixed area).
2. The reason is the correct formula, so it is true.

Teacher's Note:
1. Stretching a wire changes the area too, which is why R changes as l squared in that special case.
2. Do not mix up fixed-area and fixed-volume cases.

Question 10: Two bulbs marked 25 W-220 V and 100 W-220 V are connected in series with a 440 V supply. Which bulb will fuse?
(a) The 100 W bulb
(b) The 25 W bulb
(c) Neither
(d) Both
Show Answer & Explanation

Answer: (b) The 25 W bulb

Explanation:
1. \( R_{25} = 220^2/25 = 1936\ \Omega \) and \( R_{100} = 484\ \Omega \).
2. Series current \( = 440/2420 \approx 0.18 \) A.
3. Rated current of the 25 W bulb is 25/220 = 0.114 A, which is exceeded; the 100 W bulb can take 0.45 A.
4. So the 25 W bulb fuses.

Teacher's Note:
1. In series the same current flows in both.
2. The lower-power bulb has the smaller safe current.

Question 11: A 6 V battery is connected across a lamp of resistance 20 \( \Omega \) through a variable resistor (rheostat) in series. If the current in the circuit is 0.25 A, the resistance taken from the rheostat is
(a) \( 4\ \Omega \)
(b) \( 10\ \Omega \)
(c) \( 20\ \Omega \)
(d) \( 24\ \Omega \)
Show Answer & Explanation

Answer: (a) \( 4\ \Omega \)

Explanation:
1. Total resistance \( = 6/0.25 = 24\ \Omega \).
2. Rheostat resistance \( = 24 - 20 = 4\ \Omega \).

Teacher's Note:
1. Resistances in series add up.

Question 12:
Assertion (A): Current flows from the positive to the negative terminal of the battery in the external circuit.
Reason (R): This is the conventional direction of current.
(a) Both A and R are true, and R is the correct explanation of A.
(b) Both A and R are true, but R is not the correct explanation of A.
(c) A is true, but R is false.
(d) A is false, but R is true.
Show Answer & Explanation

Answer: (a) Both A and R are true, and R is the correct explanation of A.

Explanation:
1. Conventional current is taken as the direction of flow of positive charge, from the positive terminal to the negative terminal through the external circuit.
2. The reason is the convention that explains the assertion.

Teacher's Note:
1. Electrons move opposite to conventional current.
2. Inside the cell the current goes from negative to positive.

Question 13: Which of the following correctly matches the entries of Column I with Column II?
(A) Ohm's law, (B) R_eq = R1 + R2 + ... + Rn, (C) V = E - Ir, (D) 1/R_eq = 1/R1 + 1/R2 + ... + 1/Rn
(P) series combination, (Q) terminal potential difference, (R) V = IR, (S) parallel combination
(a) A-R, B-P, C-Q, D-S
(b) A-P, B-R, C-Q, D-S
(c) A-R, B-S, C-Q, D-P
(d) A-Q, B-P, C-R, D-S
Show Answer & Explanation

Answer: (a) A-R, B-P, C-Q, D-S

Explanation:
1. Ohm's law is V = IR (A-R).
2. The sum of resistances is for a series combination (B-P).
3. V = E - Ir gives the terminal potential difference (C-Q).
4. The reciprocal sum is for a parallel combination (D-S).

Teacher's Note:
1. Learn each formula with its circuit.

Question 14: Compare the power used in the 2 \( \Omega \) resistor in (i) a 6 V battery connected in series with 1 \( \Omega \) and 2 \( \Omega \) resistors, and (ii) a 4 V battery connected in parallel with 12 \( \Omega \) and 2 \( \Omega \) resistors. The ratio of power in (i) to power in (ii) is
(a) 1 : 1
(b) 1 : 2
(c) 2 : 1
(d) 4 : 1
Show Answer & Explanation

Answer: (a) 1 : 1

Explanation:
1. (i) Current \( I = 6/(1+2) = 2 \) A, so \( P = I^2 R = 4 \times 2 = 8 \) W.
2. (ii) The 2 \( \Omega \) resistor has the full 4 V: \( P = V^2/R = 16/2 = 8 \) W.
3. The two powers are equal, so the ratio is 1 : 1.

Teacher's Note:
1. In a series circuit use I squared R.
2. In a parallel circuit each branch gets the full voltage, so use V squared over R.

Question 15: Two bulbs are rated 100 W, 220 V and 60 W, 220 V. Which one has the greater resistance?
(a) The 100 W bulb
(b) The 60 W bulb
(c) Both have the same resistance
(d) It depends on the supply
Show Answer & Explanation

Answer: (b) The 60 W bulb

Explanation:
1. For the same voltage, \( R = V^2/P \), so resistance is inversely proportional to power.
2. The 60 W bulb has the smaller power, so it has the greater resistance.

Teacher's Note:
1. Higher wattage at the same rated voltage means lower resistance.
2. Compare bulbs with R = V squared over P.

Question 16: An electric heater rated 220 V, 2.2 kW works for 3 hours. The energy consumed and the current drawn are
(a) 6.6 kWh and 10 A
(b) 6.6 kWh and 5 A
(c) 2.2 kWh and 10 A
(d) 7.3 kWh and 20 A
Show Answer & Explanation

Answer: (a) 6.6 kWh and 10 A

Explanation:
1. Energy = 2.2 kW x 3 h = 6.6 kWh.
2. Current \( I = P/V = 2200/220 = 10 \) A.

Teacher's Note:
1. Use P = VI to get the current.

Question 17: A parallel combination of three resistors takes a current of 7.5 A from a 30 V battery. If two of the resistors are 10 \( \Omega \) and 12 \( \Omega \), the third resistor is
(a) \( 10\ \Omega \)
(b) \( 12\ \Omega \)
(c) \( 15\ \Omega \)
(d) \( 20\ \Omega \)
Show Answer & Explanation

Answer: (c) \( 15\ \Omega \)

Explanation:
1. Currents in the first two: 30/10 = 3 A and 30/12 = 2.5 A.
2. Current in the third = 7.5 - 3 - 2.5 = 2 A, so \( R = 30/2 = 15\ \Omega \).

Teacher's Note:
1. Voltage across each parallel branch is the same.
2. Branch currents add to the total.

Question 18: When two resistors R1 and R2 are connected in parallel the net resistance is 3 \( \Omega \); when connected in series it is 16 \( \Omega \). The values of R1 and R2 are
(a) \( 2\ \Omega \) and \( 14\ \Omega \)
(b) \( 4\ \Omega \) and \( 12\ \Omega \)
(c) \( 6\ \Omega \) and \( 10\ \Omega \)
(d) \( 8\ \Omega \) and \( 8\ \Omega \)
Show Answer & Explanation

Answer: (b) \( 4\ \Omega \) and \( 12\ \Omega \)

Explanation:
1. Series: \( R_1 + R_2 = 16 \). Parallel: \( R_1R_2/(R_1+R_2) = 3 \), so \( R_1R_2 = 48 \).
2. The numbers with sum 16 and product 48 are 4 and 12.

Teacher's Note:
1. Form the two equations and find a pair of numbers.
2. Check: 4 + 12 = 16 and 4 x 12 / 16 = 3.

Question 19: The resistances of 200 W and 100 W bulbs of the same rated voltage are R1 and R2 respectively. Then
(a) R1 = 2 R2
(b) R2 = 2 R1
(c) R2 = 4 R1
(d) R1 = 4 R2
Show Answer & Explanation

Answer: (b) R2 = 2 R1

Explanation:
1. \( R = V^2/P \): the resistance is inversely proportional to power.
2. The 100 W bulb has half the power, so twice the resistance: R2 = 2 R1.

Teacher's Note:
1. Higher power rating means lower resistance for the same voltage.

Question 20: Two resistors of 10 \( \Omega \) and 20 \( \Omega \) are connected in parallel, and this combination is connected in series with an ammeter that reads 3 A. The current through the 10 \( \Omega \) resistor is
(a) 1 A
(b) 1.5 A
(c) 2 A
(d) 3 A
Show Answer & Explanation

Answer: (c) 2 A

Explanation:
1. The 3 A current divides in inverse proportion to the resistances, 2 : 1.
2. The smaller resistor takes more: 2 A in 10 ohm and 1 A in 20 ohm.
3. Check: both have 20 V across them.

Teacher's Note:
1. Current divides inversely as resistance in a parallel combination.

Question 21:
Assertion (A): Kirchhoff's current law states that the net current at a junction is zero.
Reason (R): This law is based on the principle of conservation of charge.
(a) Both A and R are true, and R is the correct explanation of A.
(b) Both A and R are true, but R is not the correct explanation of A.
(c) A is true, but R is false.
(d) A is false, but R is true.
Show Answer & Explanation

Answer: (a) Both A and R are true, and R is the correct explanation of A.

Explanation:
1. The algebraic sum of currents at a junction is zero, so the assertion is true.
2. Charge cannot pile up at a junction, which is conservation of charge, and this explains the law.

Teacher's Note:
1. The current law is about charge; the loop law is about energy.

Question 22: A wire of resistance R is cut into ten equal parts which are then joined in parallel. The new resistance is
(a) 0.01 R
(b) 0.1 R
(c) 10 R
(d) 100 R
Show Answer & Explanation

Answer: (a) 0.01 R

Explanation:
1. Each part has resistance R/10.
2. Ten equal resistors in parallel give \( (R/10)/10 = R/100 = 0.01R \).

Teacher's Note:
1. Divide by n once for cutting and once for the parallel join.
2. So the result is R divided by n squared.

Question 23: A battery of EMF 10 V having internal resistance 2 \( \Omega \) is connected to an external resistance of 3 \( \Omega \). If the same current of 2 A flows in the charging mode, the terminal potential difference during charging is
(a) 5 V
(b) 10 V
(c) 14 V
(d) 9 V
Show Answer & Explanation

Answer: (c) 14 V

Explanation:
1. In charging mode \( V = E + Ir = 10 + 2 \times 2 = 14 \) V.

Teacher's Note:
1. During charging the terminal voltage is higher than the EMF.

Question 24: If 20 C of charge flows through a conductor in 10 s, the current in the conductor is
(a) 0.5 A
(b) 2 A
(c) 10 A
(d) 200 A
Show Answer & Explanation

Answer: (b) 2 A

Explanation:
1. \( I = Q/t = 20/10 = 2 \) A.

Teacher's Note:
1. Current is the rate of flow of charge.

Question 25: How many electrons make up a charge of one coulomb? (Charge of an electron = \( 1.6 \times 10^{-19} \) C)
(a) \( 6.25 \times 10^{18} \)
(b) \( 1.6 \times 10^{19} \)
(c) \( 6.25 \times 10^{19} \)
(d) \( 1.6 \times 10^{-19} \)
Show Answer & Explanation

Answer: (a) \( 6.25 \times 10^{18} \)

Explanation:
1. \( n = q/e = 1/(1.6 \times 10^{-19}) \)
2. \( n = 6.25 \times 10^{18} \) electrons.

Teacher's Note:
1. Charge is quantised: q = ne.
2. Divide the total charge by the charge of one electron.

Question 26: Four wires of equal length, each of resistance 5 \( \Omega \), are joined to form a square. The equivalent resistance between two diagonally opposite corners is
(a) \( 5\ \Omega \)
(b) \( 10\ \Omega \)
(c) \( 20\ \Omega \)
(d) \( 5/4\ \Omega \)
Show Answer & Explanation

Answer: (a) \( 5\ \Omega \)

Explanation:
1. Between opposite corners there are two paths, each with two wires in series: 10 \( \Omega \).
2. Two 10 \( \Omega \) paths in parallel give 5 \( \Omega \).

Teacher's Note:
1. Treat each side of the square as one resistor.
2. Two identical parallel paths halve the resistance.

Question 27: 100 J of work is done in moving a charge of 5 C from one terminal of a battery to the other. What is the potential difference of the battery?
(a) 0.05 V
(b) 5 V
(c) 20 V
(d) 500 V
Show Answer & Explanation

Answer: (c) 20 V

Explanation:
1. \( V = W/q = 100/5 = 20 \) V.

Teacher's Note:
1. Potential difference is work per unit charge.

Chapter 11 Electricity Objective Questions & Solutions for Class 10 Physics

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