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 potential difference between two points A and B if the electric field is 5 N/C and the distance between them is 3 m?

A. 15 V
B. 5 V
C. 3 V
D. 0 V

Solution

Potential difference V = E * d = 5 N/C * 3 m = 15 V.

Correct Answer: A — 15 V

Q. What is the potential difference between two points A and B in an electric field of 200 N/C if the distance between them is 0.5 m?

A. 100 V
B. 200 V
C. 50 V
D. 25 V

Solution

Potential difference V = E * d = 200 N/C * 0.5 m = 100 V.

Correct Answer: A — 100 V

Q. What is the potential difference between two points A and B in an electric field if the work done in moving a charge of +2C from A to B is 10J?

A. 5 V
B. 10 V
C. 20 V
D. 2 V

Solution

V = W/Q = 10 J / 2 C = 5 V.

Correct Answer: B — 10 V

Q. What is the potential difference between two points A and B in an electric field if the work done in moving a charge of 5μC from A to B is 10mJ?

A. 2V
B. 5V
C. 10V
D. 20V

Solution

Potential difference V = W/Q = 10mJ / 5μC = 10 × 10^-3 J / 5 × 10^-6 C = 2V.

Correct Answer: B — 5V

Q. What is the potential difference between two points A and B in an electric field if the work done in moving a charge of 5μC from A to B is 0.02 J?

A. 4 V
B. 2 V
C. 10 V
D. 0.1 V

Solution

Potential difference V = W/Q = 0.02 J / (5 × 10^-6 C) = 4000 V = 4 V.

Correct Answer: A — 4 V

Q. What is the potential difference between two points in a uniform electric field of strength 200 N/C separated by 3m?

A. 600 V
B. 200 V
C. 300 V
D. 400 V

Solution

V = E * d = 200 N/C * 3 m = 600 V.

Correct Answer: A — 600 V

Q. What is the potential difference between two points in an electric field if the work done to move a charge of 2μC is 0.04 J?

A. 20 V
B. 30 V
C. 40 V
D. 50 V

Solution

Potential difference V = W/q = 0.04 J / (2 × 10^-6 C) = 20,000 V = 20 V.

Correct Answer: C — 40 V

Q. What is the potential difference between two points in an electric field if the work done in moving a charge of 3 C from one point to another is 15 J?

A. 5 V
B. 10 V
C. 15 V
D. 20 V

Solution

Potential difference V = Work done / Charge = 15 J / 3 C = 5 V.

Correct Answer: B — 10 V

Q. What is the potential difference between two points in an electric field if the work done to move a charge of 2C is 10J?

A. 5V
B. 20V
C. 2V
D. 10V

Solution

Potential difference V = W/Q = 10J / 2C = 5V.

Correct Answer: B — 20V

Q. What is the potential difference between two points in an electric field if the work done in moving a charge of +2μC between them is 0.04 J?

A. 20 V
B. 10 V
C. 5 V
D. 2 V

Solution

V = W/q = 0.04 J / (2 × 10^-6 C) = 20 V.

Correct Answer: A — 20 V

Q. What is the potential difference between two points in an electric field if the work done in moving a charge of +2μC is 0.04 J?

A. 20 V
B. 10 V
C. 5 V
D. 2 V

Solution

Potential difference V = W/q = 0.04 J / (2 × 10^-6 C) = 20 V.

Correct Answer: A — 20 V

Q. What is the potential energy of a charge q placed in an electric potential V?

A. qV
B. q/V
C. V/q
D. q²V

Solution

The potential energy U of a charge q in an electric potential V is given by U = qV.

Correct Answer: A — qV

Q. What is the potential energy of a dipole in a uniform electric field E when it is aligned with the field?

A. -pE
B. 0
C. pE
D. pE/2

Solution

Potential energy U = -p · E. When aligned, U = -pE.

Correct Answer: A — -pE

Q. What is the potential energy of a mass of 5 kg at a height of 10 m in a gravitational field (g = 9.8 m/s²)?

A. 490 J
B. 980 J
C. 245 J
D. 50 J

Solution

Potential energy PE = mgh = 5 kg × 9.8 m/s² × 10 m = 490 J.

Correct Answer: B — 980 J

Q. What is the potential energy of a system of two charges +3μC and +4μC separated by 0.2m?

A. 0.54 J
B. 0.72 J
C. 0.36 J
D. 0.18 J

Solution

U = k * (q1 * q2) / r = (9 × 10^9) * (3 × 10^-6 * 4 × 10^-6) / 0.2 = 0.54 J.

Correct Answer: B — 0.72 J

Q. What is the potential energy of a system of two charges +3μC and +5μC separated by 0.2m?

A. -6.75 J
B. 6.75 J
C. 0.75 J
D. -0.75 J

Solution

Potential energy U = k * (q1 * q2) / r = (9 × 10^9) * (3 × 10^-6) * (5 × 10^-6) / 0.2 = 6.75 J.

Correct Answer: B — 6.75 J

Q. What is the potential energy of a system of two charges +3μC and -5μC separated by 0.3m?

A. -0.45 J
B. 0.45 J
C. -0.15 J
D. 0.15 J

Solution

Potential energy U = k * q1 * q2 / r = (9 × 10^9) * (3 × 10^-6) * (-5 × 10^-6) / 0.3 = -0.45 J.

Correct Answer: A — -0.45 J

Q. What is the potential energy of a system of two charges +5μC and +10μC separated by 0.2m?

A. -0.225 J
B. 0.225 J
C. 0.45 J
D. 0.9 J

Solution

Potential energy U = k * (q1 * q2) / r = (9 × 10^9) * (5 × 10^-6) * (10 × 10^-6) / 0.2 = 0.225 J.

Correct Answer: B — 0.225 J

Q. What is the potential energy of a system of two charges +q and +q separated by a distance r?

A. 0
B. k*q²/r
C. -k*q²/r
D. 2k*q²/r

Solution

Potential energy U = k * (q1 * q2) / r = k * (q * q) / r = k*q²/r.

Correct Answer: B — k*q²/r

Q. What is the potential energy of a system of two charges of +1μC and -1μC separated by 0.1m?

A. -0.09 J
B. 0.09 J
C. -0.18 J
D. 0.18 J

Solution

Potential energy U = k * q1 * q2 / r = (9 × 10^9) * (1 × 10^-6) * (-1 × 10^-6) / 0.1 = -0.09 J.

Correct Answer: A — -0.09 J

Q. What is the potential energy of a system of two point charges +q and -q separated by a distance r?

A. 0
B. kq²/r
C. -kq²/r
D. kq/r

Solution

The potential energy U of a system of two point charges is given by U = k(q1q2)/r = -kq²/r for +q and -q.

Correct Answer: C — -kq²/r

Q. What is the potential energy of a system of two point charges q1 and q2 separated by a distance r?

A. k * q1 * q2 / r
B. k * q1 * q2 * r
C. k * (q1 + q2) / r
D. k * (q1 - q2) / r

Solution

The potential energy U of a system of two point charges is given by U = k * q1 * q2 / r.

Correct Answer: A — k * q1 * q2 / r

Q. What is the potential energy stored in a spring when it is compressed by a distance x?

A. 1/2 kx
B. 1/2 kx²
C. kx
D. kx²

Solution

The potential energy (PE) stored in a spring is given by PE = 1/2 kx², where k is the spring constant and x is the displacement.

Correct Answer: B — 1/2 kx²

Q. What is the power consumed by a 10 ohm resistor when a current of 2 A flows through it?

A. 20 W
B. 40 W
C. 10 W
D. 5 W

Solution

Power P = I^2 * R = (2 A)^2 * 10Ω = 4 * 10 = 40 W.

Correct Answer: B — 40 W

Q. What is the power consumed by a 10 ohm resistor when a current of 3 A flows through it?

A. 30 W
B. 90 W
C. 60 W
D. 15 W

Solution

Power P = I^2 * R = (3 A)^2 * 10 ohms = 9 * 10 = 90 W.

Correct Answer: B — 90 W

Q. What is the power consumed by a 10Ω resistor when a current of 2A flows through it?

A. 20W
B. 40W
C. 10W
D. 5W

Solution

Power P = I^2 * R = (2A)^2 * 10Ω = 4A^2 * 10Ω = 40W.

Correct Answer: A — 20W

Q. What is the power consumed by a 12 V battery supplying a current of 2 A?

A. 24 W
B. 12 W
C. 6 W
D. 48 W

Solution

Power is given by P = V * I = 12 V * 2 A = 24 W.

Correct Answer: A — 24 W

Q. What is the power consumed by a 5 ohm resistor carrying a current of 3 A?

A. 15 W
B. 9 W
C. 5 W
D. 3 W

Solution

Power P = I^2 * R = (3 A)^2 * 5 ohms = 9 * 5 = 45 W.

Correct Answer: A — 15 W

Q. What is the power consumed by a 5 ohm resistor when a current of 2A flows through it?

A. 10W
B. 20W
C. 5W
D. 15W

Solution

Power P = I^2 * R = (2A)^2 * 5 ohms = 4 * 5 = 20W.

Correct Answer: B — 20W

Q. What is the power consumed by a 5 ohm resistor when a current of 3 A flows through it?

A. 15 W
B. 9 W
C. 5 W
D. 3 W

Solution

Power P = I^2 * R = (3 A)^2 * 5 ohms = 9 * 5 = 45 W.

Correct Answer: A — 15 W

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