Major Competitive Exams MCQ & Objective Questions
Major Competitive Exams play a crucial role in shaping the academic and professional futures of students in India. These exams not only assess knowledge but also test problem-solving skills and time management. Practicing MCQs and objective questions is essential for scoring better, as they help in familiarizing students with the exam format and identifying important questions that frequently appear in tests.
What You Will Practise Here
Key concepts and theories related to major subjects
Important formulas and their applications
Definitions of critical terms and terminologies
Diagrams and illustrations to enhance understanding
Practice questions that mirror actual exam patterns
Strategies for solving objective questions efficiently
Time management techniques for competitive exams
Exam Relevance
The topics covered under Major Competitive Exams are integral to various examinations such as CBSE, State Boards, NEET, and JEE. Students can expect to encounter a mix of conceptual and application-based questions that require a solid understanding of the subjects. Common question patterns include multiple-choice questions that test both knowledge and analytical skills, making it essential to be well-prepared with practice MCQs.
Common Mistakes Students Make
Rushing through questions without reading them carefully
Overlooking the negative marking scheme in MCQs
Confusing similar concepts or terms
Neglecting to review previous years’ question papers
Failing to manage time effectively during the exam
FAQs
Question: How can I improve my performance in Major Competitive Exams?Answer: Regular practice of MCQs and understanding key concepts will significantly enhance your performance.
Question: What types of questions should I focus on for these exams?Answer: Concentrate on important Major Competitive Exams questions that frequently appear in past papers and mock tests.
Question: Are there specific strategies for tackling objective questions?Answer: Yes, practicing under timed conditions and reviewing mistakes can help develop effective strategies.
Start your journey towards success by solving practice MCQs today! Test your understanding and build confidence for your upcoming exams. Remember, consistent practice is the key to mastering Major Competitive Exams!
Q. What is the efficiency of a Carnot engine operating between a hot reservoir at 600 K and a cold reservoir at 300 K?
A.
0.5
B.
0.33
C.
0.25
D.
0.75
Show solution
Solution
Efficiency (η) = 1 - (T_c/T_h) = 1 - (300/600) = 0.5 or 50%.
Correct Answer:
B
— 0.33
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Q. What is the efficiency of a Carnot engine operating between temperatures of 500 K and 300 K?
A.
0.4
B.
0.5
C.
0.6
D.
0.7
Show solution
Solution
Efficiency (η) = 1 - (T2/T1) = 1 - (300/500) = 0.4 or 40%.
Correct Answer:
C
— 0.6
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Q. What is the efficiency of a Carnot engine operating between temperatures T1 and T2?
A.
(T1 - T2) / T1
B.
T2 / T1
C.
(T1 - T2) / T2
D.
1 - (T2 / T1)
Show solution
Solution
The efficiency of a Carnot engine is given by the formula: efficiency = 1 - (T2 / T1), where T1 is the higher temperature and T2 is the lower temperature.
Correct Answer:
D
— 1 - (T2 / T1)
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Q. What is the efficiency of a Carnot engine operating between temperatures T1 and T2? (2019) 2019
A.
(T1 - T2) / T1
B.
T2 / T1
C.
(T1 - T2) / T2
D.
1 - (T2 / T1)
Show solution
Solution
The efficiency (η) of a Carnot engine is given by η = 1 - (T2 / T1), where T1 is the higher temperature and T2 is the lower temperature.
Correct Answer:
D
— 1 - (T2 / T1)
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Q. What is the electric field at a distance d from an infinitely long charged wire with linear charge density λ?
A.
λ/(2πε₀d)
B.
λ/(4πε₀d²)
C.
λ/(2πε₀d²)
D.
0
Show solution
Solution
The electric field due to an infinitely long charged wire is given by E = λ/(2πε₀d).
Correct Answer:
A
— λ/(2πε₀d)
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Q. What is the electric field at a distance of 1 m from a charge of +10 µC? (2019)
A.
9000 N/C
B.
10000 N/C
C.
11000 N/C
D.
12000 N/C
Show solution
Solution
E = k * |q| / r² = (9 × 10^9 N m²/C²) * (10 × 10^-6 C) / (1 m)² = 9000 N/C.
Correct Answer:
B
— 10000 N/C
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Q. What is the electric field at a distance of 1 m from a charge of -4 μC? (2019)
A.
-3600 N/C
B.
-900 N/C
C.
900 N/C
D.
3600 N/C
Show solution
Solution
E = k * |q| / r² = (9 × 10^9 N m²/C²) * (4 × 10^-6 C) / (1 m)² = 3600 N/C, directed towards the charge.
Correct Answer:
A
— -3600 N/C
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Q. What is the electric field at a distance of 1m from a charge of +1μC?
A.
9 × 10^9 N/C
B.
9 × 10^6 N/C
C.
9 × 10^3 N/C
D.
9 × 10^12 N/C
Show solution
Solution
Electric field E = k * q / r^2 = (9 × 10^9) * (1 × 10^-6) / (1)^2 = 9 × 10^3 N/C.
Correct Answer:
B
— 9 × 10^6 N/C
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Q. What is the electric field at a distance r from a uniformly charged disk of radius R and surface charge density σ?
A.
σ/(2ε₀)
B.
σ/(4ε₀)
C.
σ/(2ε₀) * (1 - r/√(R² + r²))
D.
Zero
Show solution
Solution
The electric field at a distance r from a uniformly charged disk is given by E = σ/(2ε₀) * (1 - r/√(R² + r²)).
Correct Answer:
C
— σ/(2ε₀) * (1 - r/√(R² + r²))
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Q. What is the electric field at a distance r from a uniformly charged sphere of radius R and total charge Q, when r > R?
A.
Q/(4πε₀r²)
B.
Q/(4πε₀R²)
C.
Zero
D.
Q/(4πε₀R)
Show solution
Solution
For r > R, the electric field behaves as if all the charge were concentrated at the center, thus E = Q/(4πε₀r²).
Correct Answer:
A
— Q/(4πε₀r²)
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Q. What is the electric field at a distance r from an infinitely long line charge with linear charge density λ?
A.
λ/2πε₀r
B.
λ/4πε₀r²
C.
λ/ε₀r
D.
λ/2ε₀r²
Show solution
Solution
The electric field due to an infinite line charge is given by E = λ/2πε₀r.
Correct Answer:
A
— λ/2πε₀r
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Q. What is the electric field at a distance r from an infinitely long line of charge with linear charge density λ?
A.
λ/(2πε₀r)
B.
λ/(4πε₀r²)
C.
λ/(2πε₀r²)
D.
0
Show solution
Solution
The electric field due to an infinitely long line of charge is given by E = λ/(2πε₀r), directed radially outward from the line.
Correct Answer:
A
— λ/(2πε₀r)
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Q. What is the electric field at a point due to a positive charge?
A.
Directed towards the charge
B.
Directed away from the charge
C.
Zero
D.
Depends on the distance from the charge
Show solution
Solution
The electric field due to a positive charge is directed away from the charge.
Correct Answer:
B
— Directed away from the charge
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Q. What is the electric field at a point due to a uniformly charged infinite plane sheet? (2020)
A.
0
B.
σ/2ε₀
C.
σ/ε₀
D.
σ/4ε₀
Show solution
Solution
The electric field due to an infinite plane sheet is E = σ/2ε₀ on both sides, but the total field is σ/ε₀.
Correct Answer:
C
— σ/ε₀
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Q. What is the electric field at a point just outside a charged conductor?
A.
0
B.
σ/ε₀
C.
σ/2ε₀
D.
σ/4ε₀
Show solution
Solution
The electric field just outside a charged conductor is given by E = σ/ε₀, where σ is the surface charge density.
Correct Answer:
B
— σ/ε₀
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Q. What is the electric field at a point midway between two equal and opposite charges?
A.
Zero
B.
Maximum
C.
Minimum
D.
Depends on distance
Show solution
Solution
The electric fields due to both charges cancel each other out at the midpoint, resulting in zero electric field.
Correct Answer:
A
— Zero
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Q. What is the electric field at a point on the axis of a dipole at a distance d from the center of the dipole?
A.
0
B.
p/(4πε₀d²)
C.
p/(2πε₀d²)
D.
p/(4πε₀d³)
Show solution
Solution
The electric field along the axis of a dipole at a distance d is given by E = (1/(4πε₀)) * (2p/d³), where p is the dipole moment.
Correct Answer:
D
— p/(4πε₀d³)
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Q. What is the electric field at a point outside a uniformly charged sphere of radius R and total charge Q?
A.
0
B.
Q/(4πε₀R²)
C.
Q/(4πε₀R)
D.
Q/(2πε₀R²)
Show solution
Solution
For a point outside a uniformly charged sphere, the electric field behaves as if all the charge were concentrated at the center, so E = Q/(4πε₀R²).
Correct Answer:
B
— Q/(4πε₀R²)
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Q. What is the electric field due to a point charge at a distance 'r' from it? (2021)
A.
k * q / r^2
B.
k * q / r
C.
k * q * r
D.
k * q * r^2
Show solution
Solution
The electric field (E) due to a point charge (q) at a distance (r) is given by E = k * q / r^2, where k is Coulomb's constant.
Correct Answer:
A
— k * q / r^2
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Q. What is the electric field due to a point charge at a distance r?
A.
k * q / r^2
B.
k * q / r
C.
k * q * r
D.
k * q * r^2
Show solution
Solution
The electric field E due to a point charge q at a distance r is given by E = k * q / r^2, where k is Coulomb's constant.
Correct Answer:
A
— k * q / r^2
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Q. What is the electric field due to a point charge of +10 µC at a distance of 0.1 m? (2023)
A.
9000 N/C
B.
900 N/C
C.
90 N/C
D.
9 N/C
Show solution
Solution
Electric field E = k * |q| / r² = (9 × 10^9 N m²/C²) * (10 × 10^-6 C) / (0.1 m)² = 9000 N/C.
Correct Answer:
A
— 9000 N/C
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Q. What is the electric field due to a point charge of +10μC at a distance of 0.2m?
A.
22500 N/C
B.
45000 N/C
C.
50000 N/C
D.
75000 N/C
Show solution
Solution
Electric field E = k * |q| / r² = (9 × 10^9 N m²/C²) * (10 × 10^-6 C) / (0.2 m)² = 225000 N/C.
Correct Answer:
C
— 50000 N/C
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Q. What is the electric field due to a point charge of +1μC at a distance of 0.1m?
A.
9000 N/C
B.
900 N/C
C.
90 N/C
D.
9 N/C
Show solution
Solution
Electric field E = k * |q| / r^2 = (9 × 10^9) * (1 × 10^-6) / (0.1)^2 = 9000 N/C.
Correct Answer:
A
— 9000 N/C
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Q. What is the electric field due to a point charge of +1μC at a distance of 1m?
A.
9 × 10^9 N/C
B.
1 × 10^6 N/C
C.
9 × 10^6 N/C
D.
1 × 10^9 N/C
Show solution
Solution
Electric field E = k * |q| / r^2 = (9 × 10^9) * (1 × 10^-6) / (1)^2 = 9 × 10^6 N/C.
Correct Answer:
C
— 9 × 10^6 N/C
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Q. What is the electric field due to a point charge of +3 µC at a distance of 0.3 m?
A.
30 N/C
B.
90 N/C
C.
300 N/C
D.
900 N/C
Show solution
Solution
E = k * |q| / r^2 = (9 × 10^9) * (3 × 10^-6) / (0.3)^2 = 90 N/C.
Correct Answer:
B
— 90 N/C
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Q. What is the electric field due to a point charge of +4μC at a distance of 0.1m?
A.
36000 N/C
B.
40000 N/C
C.
44000 N/C
D.
48000 N/C
Show solution
Solution
Electric field E = k * |q| / r² = (9 × 10^9 N m²/C²) * (4 × 10^-6 C) / (0.1 m)² = 36000 N/C.
Correct Answer:
B
— 40000 N/C
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Q. What is the electric field due to a point charge of +4μC at a distance of 0.2m?
A.
4500 N/C
B.
9000 N/C
C.
18000 N/C
D.
36000 N/C
Show solution
Solution
E = k * |q| / r^2 = (9 × 10^9) * (4 × 10^-6) / (0.2)^2 = 9000 N/C.
Correct Answer:
B
— 9000 N/C
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Q. What is the electric field due to a point charge of +5 µC at a distance of 0.2 m? (2022)
A.
11250 N/C
B.
5625 N/C
C.
22500 N/C
D.
4500 N/C
Show solution
Solution
Using E = k * |q| / r² = (9 × 10^9 N m²/C²) * (5 × 10^-6 C) / (0.2 m)² = 11250 N/C.
Correct Answer:
A
— 11250 N/C
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Q. What is the electric field due to a point charge of +5μC at a distance of 0.1 m?
A.
4500 N/C
B.
5000 N/C
C.
5500 N/C
D.
6000 N/C
Show solution
Solution
Electric field E = k * |q| / r² = (9 × 10^9 N m²/C²) * (5 × 10^-6 C) / (0.1 m)² = 4500 N/C.
Correct Answer:
B
— 5000 N/C
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Q. What is the electric field due to a point charge of +5μC at a distance of 0.1m?
A.
4500 N/C
B.
5000 N/C
C.
45000 N/C
D.
50000 N/C
Show solution
Solution
Electric field E = k * |q| / r² = (9 × 10^9 N m²/C²) * (5 × 10^-6 C) / (0.1 m)² = 45000 N/C.
Correct Answer:
C
— 45000 N/C
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