JEE Main Preparation Resources for Competitive Exams

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JEE Main MCQ & Objective Questions

The JEE Main exam is a crucial step for students aspiring to enter prestigious engineering colleges in India. It tests not only knowledge but also the ability to apply concepts effectively. Practicing MCQs and objective questions is essential for scoring better, as it helps in familiarizing students with the exam pattern and enhances their problem-solving skills. Engaging with practice questions allows students to identify important questions and strengthen their exam preparation.

What You Will Practise Here

Fundamental concepts of Physics, Chemistry, and Mathematics
Key formulas and their applications in problem-solving
Important definitions and theories relevant to JEE Main
Diagrams and graphical representations for better understanding
Numerical problems and their step-by-step solutions
Previous years' JEE Main questions for real exam experience
Time management strategies while solving MCQs

Exam Relevance

The topics covered in JEE Main are not only significant for the JEE exam but also appear in various CBSE and State Board examinations. Many concepts are shared with the NEET syllabus, making them relevant across multiple competitive exams. Common question patterns include conceptual applications, numerical problems, and theoretical questions that assess a student's understanding of core subjects.

Common Mistakes Students Make

Misinterpreting the question stem, leading to incorrect answers
Neglecting units in numerical problems, which can change the outcome
Overlooking negative marking and not managing time effectively
Relying too heavily on rote memorization instead of understanding concepts
Failing to review and analyze mistakes from practice tests

FAQs

Question: How can I improve my speed in solving JEE Main MCQ questions?
Answer: Regular practice with timed quizzes and focusing on shortcuts can significantly enhance your speed.

Question: Are the JEE Main objective questions similar to previous years' papers?
Answer: Yes, many questions are based on previous years' patterns, so practicing them can be beneficial.

Question: What is the best way to approach JEE Main practice questions?
Answer: Start with understanding the concepts, then attempt practice questions, and finally review your answers to learn from mistakes.

Now is the time to take charge of your preparation! Dive into solving JEE Main MCQs and practice questions to test your understanding and boost your confidence for the exam.

Chemistry Syllabus (JEE Main) Mathematics Syllabus (JEE Main) Physics Syllabus (JEE Main)

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

Solution

According to Ampere's law, the magnetic field inside a hollow conductor carrying current is zero.

Correct Answer: A — Zero

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

Solution

Inside a hollow cylindrical shell, the magnetic field is zero.

Correct Answer: A — 0

Q. What is the magnetic field inside a long solenoid carrying current I?

A. Zero
B. μ₀nI
C. μ₀I/n
D. μ₀I/2

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

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

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

Q. What is the magnetic field inside a long solenoid with n turns per unit length carrying a current I?

A. μ₀nI
B. μ₀I/n
C. μ₀I/2n
D. μ₀I/4n

Solution

The magnetic field inside a long solenoid is given by B = μ₀nI.

Correct Answer: A — μ₀nI

Q. What is the magnetic field inside a long straight conductor carrying a current I?

A. 0
B. μ₀I/2πr
C. μ₀I/4πr
D. μ₀I/πr

Solution

Using Ampere's Law, B = μ₀I/2πr for a long straight conductor.

Correct Answer: B — μ₀I/2πr

Q. What is the magnetic field inside a long straight conductor carrying current I?

A. 0
B. μ₀I/2πr
C. μ₀I/4πr
D. μ₀I/πr

Solution

Using Ampere's Law, B = μ₀I/2πr for a long straight conductor.

Correct Answer: B — μ₀I/2πr

Q. What is the magnetic field inside a long, ideal solenoid carrying current I?

A. Zero
B. μ₀I
C. μ₀I/n
D. μ₀nI

Solution

The magnetic field inside a long, ideal solenoid is given by B = μ₀nI, where n is the number of turns per unit length.

Correct Answer: D — μ₀nI

Q. What is the magnetic field inside a long, ideal solenoid carrying current?

A. Zero
B. Uniform and parallel
C. Concentric circles
D. Decreasing

Solution

The magnetic field inside a long, ideal solenoid is uniform and parallel to the axis of the solenoid.

Correct Answer: B — Uniform and parallel

Q. What is the magnetic field inside a long, ideal solenoid with n turns per unit length carrying a current I?

A. B = μ₀nI
B. B = μ₀I/n
C. B = nI/μ₀
D. B = μ₀I

Solution

The magnetic field inside an ideal solenoid is given by B = μ₀nI, where n is the number of turns per unit length.

Correct Answer: A — B = μ₀nI

Q. What is the magnetic field inside a long, ideal solenoid?

A. Zero
B. Uniform and parallel
C. Concentric circles
D. Diverging lines

Solution

The magnetic field inside a long, ideal solenoid is uniform and parallel.

Correct Answer: B — Uniform and parallel

Q. What is the magnetic field inside a long, straight solenoid carrying current I?

A. 0
B. μ₀I
C. μ₀nI
D. μ₀nI/2

Solution

The magnetic field inside a long, straight solenoid is given by B = μ₀nI, where n is the number of turns per unit length and μ₀ is the permeability of free space.

Correct Answer: C — μ₀nI

Q. What is the magnetic field inside a long, straight solenoid carrying current?

A. Zero
B. Uniform and parallel to the axis
C. Varies with distance
D. Concentric circles

Solution

The magnetic field inside a long, straight solenoid is uniform and parallel to the axis of the solenoid, given by B = μ₀nI, where n is the number of turns per unit length.

Correct Answer: B — Uniform and parallel to the axis

Q. What is the magnetic field inside a solenoid carrying current I with n turns per unit length?

A. μ₀nI
B. μ₀I/n
C. μ₀I
D. μ₀nI/2

Solution

The magnetic field inside a long solenoid is given by B = μ₀nI.

Correct Answer: A — μ₀nI

Q. What is the magnetic field strength at the center of a square loop of side a carrying a current I?

A. (μ₀I)/(2a)
B. (μ₀I)/(4a)
C. (μ₀I)/(√2a)
D. (μ₀I)/(8a)

Solution

The magnetic field at the center of a square loop is given by B = (μ₀I)/(√2a).

Correct Answer: C — (μ₀I)/(√2a)

Q. What is the magnetic quantum number for a 3d orbital?

A. -2
B. -1
C. 0
D. 1

Solution

The magnetic quantum number (m_l) for a 3d orbital can be -2, -1, 0, 1, or 2.

Correct Answer: A — -2

Q. What is the magnification produced by a concave lens if the object distance is 20 cm and the image distance is -10 cm?

A. 0.5
B. 1
C. 2
D. 3

Solution

Magnification m = -v/u = -(-10)/20 = 0.5.

Correct Answer: A — 0.5

Q. What is the magnification produced by a concave mirror if the object is placed at a distance of 15 cm and the image is formed at 5 cm?

A. 1/3
B. 1/2
C. 3
D. 2

Solution

Magnification (m) = -v/u = -(-5)/(-15) = 1/3. Therefore, the magnification is 3.

Correct Answer: C — 3

Q. What is the magnification produced by a convex lens if the object is placed at twice the focal length?

A. 1
B. 2
C. 0.5
D. 4

Solution

Magnification (m) = v/u. For an object at 2f, the image distance v = 2f, so m = 2f/(2f) = 1.

Correct Answer: A — 1

Q. What is the magnification produced by a lens if the object distance is 15 cm and the image distance is 30 cm?

A. 0.5
B. 1
C. 2
D. 3

Solution

Magnification (m) = image distance/object distance = 30/15 = 2.

Correct Answer: C — 2

Q. What is the magnification produced by a lens if the object distance is 15 cm and the image distance is 45 cm?

A. 1/3
B. 1/2
C. 3
D. 2

Solution

Magnification (m) = image distance/object distance = 45/15 = 3.

Correct Answer: C — 3

Q. What is the magnification produced by a lens if the object distance is 20 cm and the image distance is 10 cm?

A. 0.5
B. 1
C. 2
D. 4

Solution

Magnification (m) = -v/u = -10/20 = 0.5, but since we consider absolute value, m = 2.

Correct Answer: C — 2

Q. What is the magnification produced by a lens if the object distance is 25 cm and the image distance is 50 cm?

A. 0.5
B. 1
C. 2
D. 4

Solution

Magnification (m) = -v/u = -50/25 = -2. The absolute value indicates the image is twice the size of the object.

Correct Answer: C — 2

Q. What is the magnitude of the vector (2, -3, 6)?

A. 7
B. 9
C. 8
D. 5

Solution

Magnitude = √(2^2 + (-3)^2 + 6^2) = √(4 + 9 + 36) = √49 = 7.

Correct Answer: B — 9

Q. What is the magnitude of the vector (3, 4)?

A. 5
B. 7
C. 6
D. 4

Solution

Magnitude = √(3^2 + 4^2) = √(9 + 16) = √25 = 5

Correct Answer: A — 5

Q. What is the magnitude of the vector C = (6, 8, 10)?

A. 10
B. 12
C. 14
D. 16

Solution

Magnitude |C| = √(6^2 + 8^2 + 10^2) = √(36 + 64 + 100) = √200 = 10√2.

Correct Answer: C — 14

Q. What is the magnitude of the vector v = (3, -4)?

A. 5
B. 7
C. 4
D. 3

Solution

Magnitude of v = √(3^2 + (-4)^2) = √(9 + 16) = √25 = 5.

Correct Answer: A — 5

Q. What is the main active ingredient in most antacids?

A. Calcium carbonate
B. Magnesium hydroxide
C. Aluminum hydroxide
D. All of the above

Solution

Most antacids contain a combination of calcium carbonate, magnesium hydroxide, and aluminum hydroxide to neutralize stomach acid.

Correct Answer: D — All of the above

Q. What is the main advantage of using a potentiometer over a voltmeter?

A. It is cheaper.
B. It provides more accurate measurements.
C. It is easier to use.
D. It can measure AC voltages.

Solution

A potentiometer provides more accurate measurements because it measures voltage by balancing rather than drawing current from the circuit.

Correct Answer: B — It provides more accurate measurements.

Q. What is the main advantage of using a Wheatstone bridge in measurements?

A. It is very fast
B. It provides high accuracy
C. It is very simple
D. It requires no power supply

Solution

The Wheatstone bridge is known for providing high accuracy in measuring unknown resistances.

Correct Answer: B — It provides high accuracy

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