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.

Q. The total energy in a simple harmonic oscillator is given by which of the following?
  • A. 1/2 kA^2
  • B. kA
  • C. mgh
  • D. 1/2 mv^2
Q. The total mechanical energy in a simple harmonic oscillator is given by which of the following?
  • A. 1/2 kA^2
  • B. 1/2 mv^2
  • C. kA
  • D. mv^2
Q. The unit of electric charge in SI is?
  • A. Coulomb
  • B. Ampere
  • C. Volt
  • D. Ohm
Q. The unit of energy in the SI system is:
  • A. Joule
  • B. Calorie
  • C. Watt
  • D. Newton
Q. The unit of pressure in SI is:
  • A. Pascal
  • B. Bar
  • C. Torr
  • D. Atmosphere
Q. The unit of pressure in the SI system is:
  • A. Pascal
  • B. Bar
  • C. Torr
  • D. Atmosphere
Q. The value of (1 + i)^2 is?
  • A. 2i
  • B. 2
  • C. 0
  • D. 1 + 2i
Q. The value of (x^2)^3 is equal to?
  • A. x^5
  • B. x^6
  • C. x^7
  • D. x^8
Q. The value of cos(tan^(-1)(x)) is:
  • A. 1/√(1+x^2)
  • B. x/√(1+x^2)
  • C. √(1+x^2)/x
  • D. 0
Q. The value of log2(32) is?
  • A. 4
  • B. 5
  • C. 6
  • D. 7
Q. The value of log_2(32) is?
  • A. 4
  • B. 5
  • C. 6
  • D. 7
Q. The value of sin(tan^(-1)(x)) is:
  • A. x/√(1+x^2)
  • B. √(1-x^2)
  • C. 1/√(1+x^2)
  • D. x
Q. The value of sin^(-1)(-1) is:
  • A. -π/2
  • B. 0
  • C. π/2
  • D. π
Q. The value of sin^(-1)(sin(π/4)) is:
  • A. π/4
  • B. 3π/4
  • C. 0
  • D. π/2
Q. The value of sin^(-1)(√3/2) is:
  • A. π/3
  • B. π/6
  • C. π/4
  • D. π/2
Q. The value of tan^(-1)(√3) is:
  • A. π/3
  • B. π/4
  • C. π/6
  • D. π/2
Q. The vertices of the ellipse 9x^2 + 16y^2 = 144 are located at?
  • A. (±4, 0)
  • B. (0, ±3)
  • C. (±3, 0)
  • D. (0, ±4)
Q. The weight of an object is measured as 10 kg with a 0.1 kg error. What is the maximum possible weight?
  • A. 10.1 kg
  • B. 10.2 kg
  • C. 10 kg
  • D. 9.9 kg
Q. The weight of an object is measured as 200 g with a possible error of 5 g. What is the range of the true weight?
  • A. 195 g to 205 g
  • B. 200 g to 205 g
  • C. 195 g to 200 g
  • D. 200 g to 210 g
Q. The work done in moving a charge from a point A to point B in an electric field is equal to the change in what?
  • A. Electric potential energy
  • B. Electric potential
  • C. Electric field strength
  • D. Charge
Q. Two blocks of masses 2 kg and 3 kg are connected by a light string over a frictionless pulley. If the 3 kg block is released from rest, what is the acceleration of the system?
  • A. 1.2 m/s²
  • B. 2 m/s²
  • C. 3 m/s²
  • D. 4 m/s²
Q. Two blocks of masses 2 kg and 3 kg are connected by a light string over a frictionless pulley. If the 3 kg block is hanging, what is the acceleration of the system?
  • A. 1.2 m/s²
  • B. 2 m/s²
  • C. 3 m/s²
  • D. 4 m/s²
Q. Two capacitors, C1 = 2μF and C2 = 3μF, are connected in series. What is the equivalent capacitance?
  • A. 1.2μF
  • B. 5μF
  • C. 6μF
  • D. 0.6μF
Q. Two capacitors, C1 and C2, are connected in series. What is the equivalent capacitance?
  • A. C1 + C2
  • B. 1 / (1/C1 + 1/C2)
  • C. C1 * C2 / (C1 + C2)
  • D. C1 - C2
Q. Two cars are moving towards each other at speeds of 50 km/h and 70 km/h. If they are 200 meters apart, how long will it take for them to meet?
  • A. 5 seconds
  • B. 10 seconds
  • C. 15 seconds
  • D. 20 seconds
Q. Two cars are moving towards each other with speeds of 50 km/h and 70 km/h. How long will it take for them to collide if they are 200 meters apart?
  • A. 5 seconds
  • B. 10 seconds
  • C. 15 seconds
  • D. 20 seconds
Q. Two cars start from the same point and travel in opposite directions at speeds of 70 km/h and 50 km/h. How far apart will they be after 2 hours?
  • A. 240 km
  • B. 220 km
  • C. 200 km
  • D. 180 km
Q. Two cars start from the same point and travel in opposite directions. If car A travels at 40 km/h and car B at 60 km/h, how far apart will they be after 1 hour?
  • A. 50 km
  • B. 80 km
  • C. 100 km
  • D. 120 km
Q. Two cars start from the same point and travel in opposite directions. If car A travels at 70 km/h and car B at 50 km/h, how far apart will they be after 2 hours?
  • A. 240 km
  • B. 220 km
  • C. 200 km
  • D. 180 km
Q. Two charges +q and -q are placed at a distance d apart. What is the electric field at the midpoint?
  • A. 0
  • B. k * q / (d/2)^2
  • C. k * q / d^2
  • D. k * q / (d^2) * 2
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