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 local time at 45°E longitude when it is 6:00 PM GMT?
A.
9:00 PM
B.
10:00 PM
C.
11:00 PM
D.
12:00 AM
Show solution
Solution
45°E is 45 * 4 = 180 minutes ahead of GMT, which is 3 hours. Therefore, 6:00 PM + 3 hours = 9:00 PM.
Correct Answer:
B
— 10:00 PM
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Q. What is the local time at 75°W when it is 3:00 PM GMT? (2020)
A.
10:00 AM
B.
11:00 AM
C.
12:00 PM
D.
1:00 PM
Show solution
Solution
At 75°W, the time is 75° / 15° = 5 hours behind GMT. Therefore, 3:00 PM GMT - 5 hours = 10:00 AM.
Correct Answer:
A
— 10:00 AM
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Q. What is the local time at 90 degrees East longitude when it is 6:00 AM at the Prime Meridian? (2023)
A.
3:00 AM
B.
9:00 AM
C.
12:00 PM
D.
6:00 PM
Show solution
Solution
90 degrees East is 6 hours ahead of GMT, so 6:00 AM + 6 hours = 12:00 PM.
Correct Answer:
B
— 9:00 AM
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Q. What is the logical sequence of the following sentences?
A.
C, A, B, D
B.
A, B, C, D
C.
B, D, A, C
D.
D, C, A, B
Show solution
Solution
The correct sequence is C, A, B, D, as it follows a coherent flow of ideas.
Correct Answer:
A
— C, A, B, D
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Q. What is the logical sequence of the sentences provided in the paragraph? (2023)
A.
C, A, B, D
B.
A, B, C, D
C.
B, D, A, C
D.
D, C, B, A
Show solution
Solution
The correct sequence is C, A, B, D, as it follows a coherent flow of ideas from the introduction to the conclusion.
Correct Answer:
A
— C, A, B, D
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Q. What is the magnetic field around a straight conductor carrying current?
A.
Uniform
B.
Concentric circles
C.
Radial lines
D.
None of the above
Show solution
Solution
The magnetic field around a straight conductor carrying current forms concentric circles around the wire.
Correct Answer:
B
— Concentric circles
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Q. What is the magnetic field around a straight current-carrying conductor? (2023)
A.
Uniform
B.
Concentric circles
C.
Radial lines
D.
None of the above
Show solution
Solution
The magnetic field around a straight current-carrying conductor forms concentric circles around the wire, as described by Ampère's circuital law.
Correct Answer:
B
— Concentric circles
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Q. What is the magnetic field at a distance r from a long straight wire carrying current I? (2020)
A.
μ₀I/(2πr)
B.
μ₀I/(4πr)
C.
μ₀I/(πr)
D.
μ₀I/(8πr)
Show solution
Solution
The magnetic field around a long straight wire is given by B = (μ₀I)/(2πr).
Correct Answer:
A
— μ₀I/(2πr)
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Q. What is the magnetic field at a distance r from an infinitely long straight wire carrying current I?
A.
μ₀I/2πr
B.
μ₀I/4πr
C.
μ₀I/πr
D.
0
Show solution
Solution
Using Ampere's Law, B = μ₀I/2πr for an infinitely long straight wire.
Correct Answer:
A
— μ₀I/2πr
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Q. What is the magnetic field at a point due to a long straight current-carrying conductor using Biot-Savart Law?
A.
μ₀I/(2πr)
B.
μ₀I/(4πr²)
C.
μ₀I/(2r)
D.
μ₀I/(4r)
Show solution
Solution
The magnetic field B at a distance r from a long straight conductor carrying current I is given by B = μ₀I/(2πr) according to Biot-Savart Law.
Correct Answer:
A
— μ₀I/(2πr)
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Q. What is the magnetic field at a point on the axis of a circular loop of radius R carrying a current I at a distance x from the center?
A.
(μ₀I)/(2R) * (R²/(R²+x²)^(3/2))
B.
(μ₀I)/(4R) * (R²/(R²+x²)^(3/2))
C.
(μ₀I)/(2R) * (1/(R²+x²)^(3/2))
D.
(μ₀I)/(4R) * (1/(R²+x²)^(3/2))
Show solution
Solution
The magnetic field on the axis of a circular loop is given by B = (μ₀I)/(2R) * (R²/(R²+x²)^(3/2)).
Correct Answer:
A
— (μ₀I)/(2R) * (R²/(R²+x²)^(3/2))
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Q. What is the magnetic field at a point on the axis of a circular loop of radius R carrying current I?
A.
μ₀I/(2R)
B.
μ₀I/(4R)
C.
μ₀I/(2R²)
D.
μ₀I/(2√2R)
Show solution
Solution
The magnetic field on the axis of a circular loop is given by B = (μ₀I/(2R)) * (1/(1 + (z/R)²)^(3/2)) where z is the distance along the axis.
Correct Answer:
D
— μ₀I/(2√2R)
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Q. What is the magnetic field at the center of a circular loop carrying current? (2022)
A.
Zero
B.
Directly proportional to current
C.
Inversely proportional to radius
D.
Both A and B
Show solution
Solution
The magnetic field at the center of a circular loop carrying current is directly proportional to the current and inversely proportional to the radius.
Correct Answer:
B
— Directly proportional to current
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Q. What is the magnetic field at the center of a circular loop of radius R carrying a current I?
A.
μ₀I/(2R)
B.
μ₀I/(4R)
C.
μ₀I/(R)
D.
μ₀I/(8R)
Show solution
Solution
The magnetic field at the center of a circular loop is given by B = μ₀I/(2R).
Correct Answer:
A
— μ₀I/(2R)
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Q. What is the magnetic field at the center of a circular loop of radius R carrying current I?
A.
μ₀I/2R
B.
μ₀I/R
C.
μ₀I/4R
D.
μ₀I/πR
Show solution
Solution
The magnetic field at the center of a circular loop is given by B = μ₀I/2R.
Correct Answer:
A
— μ₀I/2R
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Q. What is the magnetic field at the center of a square loop of side a carrying current I?
A.
μ₀I/4a
B.
μ₀I/2a
C.
μ₀I/a
D.
μ₀I/8a
Show solution
Solution
The magnetic field at the center of a square loop is B = μ₀I/4a.
Correct Answer:
A
— μ₀I/4a
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Q. What is the magnetic field at the midpoint of a wire carrying current I in opposite directions?
A.
Zero
B.
μ₀I/2
C.
μ₀I
D.
Depends on distance
Show solution
Solution
At the midpoint, the magnetic fields due to the two currents cancel each other out, resulting in zero net magnetic field.
Correct Answer:
A
— Zero
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Q. What is the magnetic field due to a circular loop of radius R carrying current I at a point on its axis at a distance x from the center?
A.
μ₀I/(2R)
B.
μ₀I/(2(x² + R²)^(3/2))
C.
μ₀I/(4πR)
D.
μ₀I/(x² + R²)
Show solution
Solution
The magnetic field at a point on the axis of a circular loop at a distance x from the center is given by B = μ₀I/(2(x² + R²)^(3/2)).
Correct Answer:
B
— μ₀I/(2(x² + R²)^(3/2))
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Q. What is the magnetic field due to a current I flowing through a straight wire at a distance d?
A.
μ₀I/(2πd)
B.
μ₀I/(4πd²)
C.
μ₀I/(d)
D.
μ₀I/(2d)
Show solution
Solution
The magnetic field B at a distance d from a straight wire carrying current I is given by B = μ₀I/(2πd).
Correct Answer:
A
— μ₀I/(2πd)
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Q. What is the magnetic field due to a current loop at a point on its axis?
A.
μ₀I/2R
B.
μ₀I/4R
C.
μ₀I/2R²
D.
μ₀I/4R²
Show solution
Solution
Using Ampere's Law, B = μ₀I/2R² at a point on the axis of a current loop.
Correct Answer:
C
— μ₀I/2R²
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Q. What is the magnetic field due to a long straight wire carrying current I at a distance r from the wire?
A.
μ₀I/2πr
B.
μ₀I/4πr
C.
μ₀I/πr
D.
μ₀I/8πr
Show solution
Solution
The magnetic field due to a long straight wire is given by B = (μ₀I)/(2πr).
Correct Answer:
A
— μ₀I/2πr
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Q. What is the magnetic field due to a magnetic dipole at a point along its axial line?
A.
(μ₀/4π) * (2m/r³)
B.
(μ₀/4π) * (m/r³)
C.
(μ₀/4π) * (m/r²)
D.
(μ₀/4π) * (m/r⁴)
Show solution
Solution
The magnetic field due to a magnetic dipole at a point along its axial line is given by B = (μ₀/4π) * (2m/r³).
Correct Answer:
A
— (μ₀/4π) * (2m/r³)
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Q. What is the magnetic field due to a solenoid of length L, carrying n turns per unit length and current I?
A.
μ₀nI
B.
μ₀nI/L
C.
μ₀nI/2
D.
μ₀nI/L²
Show solution
Solution
The magnetic field inside a long solenoid is B = μ₀nI.
Correct Answer:
A
— μ₀nI
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Q. What is the magnetic field due to a straight conductor at a point 1 meter away carrying a current of 5 A?
A.
0.01 T
B.
0.02 T
C.
0.03 T
D.
0.04 T
Show solution
Solution
Using Biot-Savart Law, B = μ₀I/(2πr) = (4π × 10^-7 Tm/A)(5 A)/(2π(1 m)) = 0.01 T.
Correct Answer:
B
— 0.02 T
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Q. What is the magnetic field due to a straight current-carrying conductor at a distance 'r' from it? (2020)
A.
μ₀I/2πr
B.
μ₀I/4πr²
C.
μ₀I/2r
D.
μ₀I/πr
Show solution
Solution
The magnetic field due to a straight current-carrying conductor is given by B = μ₀I/2πr.
Correct Answer:
A
— μ₀I/2πr
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Q. What is the magnetic field due to a straight wire at a distance of 0.5 m carrying a current of 10 A?
A.
0.4 μT
B.
0.2 μT
C.
0.1 μT
D.
0.8 μT
Show solution
Solution
Using B = μ₀I/(2πr), substituting μ₀ = 4π × 10⁻⁷ Tm/A, I = 10 A, and r = 0.5 m gives B = 0.4 μT.
Correct Answer:
A
— 0.4 μT
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Q. What is the magnetic field inside a hollow conductor carrying current?
A.
Zero
B.
Uniform
C.
Varies with distance
D.
Depends on the current
Show solution
Solution
According to Ampere's law, the magnetic field inside a hollow conductor carrying current is zero.
Correct Answer:
A
— Zero
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Q. What is the magnetic field inside a hollow cylindrical shell carrying current I?
A.
0
B.
μ₀I/2πR
C.
μ₀I/4πR
D.
μ₀I/πR
Show solution
Solution
Inside a hollow cylindrical shell, the magnetic field is zero.
Correct Answer:
A
— 0
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Q. What is the magnetic field inside a long solenoid carrying current I?
A.
Zero
B.
μ₀nI
C.
μ₀I/n
D.
μ₀I/2
Show solution
Solution
The magnetic field inside a long solenoid is given by B = μ₀nI, where n is the number of turns per unit length.
Correct Answer:
B
— μ₀nI
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Q. What is the magnetic field inside a long solenoid carrying current?
A.
Zero
B.
Uniform and parallel to the axis
C.
Varies with distance
D.
Depends on the current only
Show solution
Solution
The magnetic field inside a long solenoid is uniform and parallel to the axis of the solenoid.
Correct Answer:
B
— Uniform and parallel to the axis
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