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. What is the root mean square speed of gas molecules at temperature T?
A.
(3RT/M)^0.5
B.
(RT/M)^0.5
C.
(2RT/M)^0.5
D.
(RT/3M)^0.5
Solution
The root mean square speed (v_rms) is given by the formula v_rms = (3RT/M)^0.5, where R is the gas constant, T is the temperature, and M is the molar mass.
Q. What is the root mean square speed of gas molecules directly proportional to?
A.
The square root of the temperature.
B.
The square of the temperature.
C.
The mass of the gas molecules.
D.
The volume of the gas.
Solution
The root mean square speed of gas molecules is directly proportional to the square root of the absolute temperature, as given by the equation v_rms = sqrt(3kT/m).
Correct Answer:
A
— The square root of the temperature.
Q. What is the root mean square speed of gas molecules in a container at temperature T?
A.
sqrt(3kT/m)
B.
sqrt(2kT/m)
C.
sqrt(kT/m)
D.
sqrt(3RT/M)
Solution
The root mean square speed (v_rms) is given by the formula v_rms = sqrt(3kT/m) where k is the Boltzmann constant, T is the temperature, and m is the mass of a gas molecule.
Q. What is the root mean square speed of gas molecules in an ideal gas at temperature T?
A.
sqrt(3RT/M)
B.
sqrt(2RT/M)
C.
sqrt(RT/M)
D.
sqrt(3kT/m)
Solution
The root mean square speed (v_rms) is given by the formula v_rms = sqrt(3RT/M), where R is the gas constant, T is the temperature, and M is the molar mass.
Q. What is the shape of a liquid droplet on a surface due to surface tension?
A.
Flat
B.
Cylindrical
C.
Spherical
D.
Cubical
Solution
A liquid droplet takes a spherical shape because a sphere has the minimum surface area for a given volume, minimizing the energy associated with surface tension.
