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. In simple harmonic motion, the maximum displacement from the mean position is called what?
A.
Amplitude
B.
Frequency
C.
Period
D.
Wavelength
Show solution
Solution
The maximum displacement from the mean position in simple harmonic motion is called amplitude.
Correct Answer:
A
— Amplitude
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Q. In simple harmonic motion, the maximum speed occurs at which point?
A.
At the mean position
B.
At the amplitude
C.
At one-fourth of the amplitude
D.
At three-fourths of the amplitude
Show solution
Solution
The maximum speed in SHM occurs at the mean position where the displacement is zero.
Correct Answer:
A
— At the mean position
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Q. In simple harmonic motion, the restoring force is directly proportional to which of the following?
A.
Displacement
B.
Velocity
C.
Acceleration
D.
Mass
Show solution
Solution
The restoring force is directly proportional to the displacement from the mean position.
Correct Answer:
A
— Displacement
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Q. In simple harmonic motion, the total mechanical energy is conserved. What forms of energy are involved?
A.
Kinetic and Potential Energy
B.
Kinetic and Thermal Energy
C.
Potential and Thermal Energy
D.
Only Kinetic Energy
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Solution
In SHM, the total mechanical energy is the sum of kinetic and potential energy, which remains constant.
Correct Answer:
A
— Kinetic and Potential Energy
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Q. In simple harmonic motion, the velocity of the particle is maximum when it is at which position?
A.
Mean position
B.
Maximum displacement
C.
Equilibrium position
D.
None of the above
Show solution
Solution
In simple harmonic motion, the velocity is maximum at the mean position where the displacement is zero.
Correct Answer:
A
— Mean position
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Q. In the Biot-Savart Law, what does the term 'dl' represent?
A.
The length of the wire segment
B.
The distance from the wire to the point of interest
C.
The current flowing through the wire
D.
The angle between the wire and the point
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Solution
'dl' represents the infinitesimal length of the wire segment that contributes to the magnetic field at a point.
Correct Answer:
A
— The length of the wire segment
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Q. In the Bohr model of the hydrogen atom, what is the energy of the electron in the n=2 level?
A.
-13.6 eV
B.
-3.4 eV
C.
-1.51 eV
D.
0 eV
Show solution
Solution
The energy of an electron in the nth level of hydrogen is given by E_n = -13.6 eV/n². For n=2, E_2 = -13.6 eV/2² = -3.4 eV.
Correct Answer:
B
— -3.4 eV
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Q. In the Bohr model of the hydrogen atom, what is the radius of the first orbit?
A.
0.0529 nm
B.
0.1 nm
C.
0.529 nm
D.
0.529 pm
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Solution
The radius of the first orbit in the Bohr model is 0.529 Å or 0.0529 nm.
Correct Answer:
C
— 0.529 nm
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Q. In the calculation 12.11 + 0.3 + 1.234, how many significant figures should the answer have?
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Solution
The answer should have 2 decimal places, as 0.3 has the least precision.
Correct Answer:
C
— 4
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Q. In the complex [Ni(CO)4], what is the hybridization of the nickel atom?
A.
sp
B.
sp2
C.
sp3
D.
d2sp3
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Solution
Nickel in [Ni(CO)4] undergoes sp3 hybridization as it forms four sigma bonds with CO ligands.
Correct Answer:
C
— sp3
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Q. In the context of adsorption, what does the term 'saturation' refer to?
A.
Complete coverage of the adsorbent surface
B.
Maximum temperature for adsorption
C.
Equilibrium state of adsorption and desorption
D.
None of the above
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Solution
Saturation refers to the complete coverage of the adsorbent surface by the adsorbate.
Correct Answer:
A
— Complete coverage of the adsorbent surface
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Q. In the context of diffraction, what does the term 'angular width' refer to?
A.
The angle between the first and second minima
B.
The angle of incidence
C.
The angle of reflection
D.
The angle of diffraction
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Solution
Angular width refers to the angle between the first and second minima in a diffraction pattern.
Correct Answer:
A
— The angle between the first and second minima
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Q. In the context of diffraction, what does the term 'coherence' refer to?
A.
The ability of waves to interfere
B.
The speed of light
C.
The intensity of light
D.
The wavelength of light
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Solution
Coherence refers to the ability of waves to maintain a constant phase relationship, which is essential for producing clear interference patterns.
Correct Answer:
A
— The ability of waves to interfere
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Q. In the context of diffraction, what does the term 'resolution' refer to?
A.
The ability to distinguish between two closely spaced objects
B.
The intensity of the diffracted light
C.
The wavelength of the light used
D.
The width of the slit
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Solution
Resolution refers to the ability to distinguish between two closely spaced objects, which is affected by diffraction.
Correct Answer:
A
— The ability to distinguish between two closely spaced objects
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Q. In the context of measurement, what does the term 'accuracy' refer to?
A.
The closeness of a measured value to the true value
B.
The repeatability of measurements
C.
The range of values within which the true value lies
D.
The number of significant figures in a measurement
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Solution
Accuracy refers to how close a measured value is to the true or accepted value.
Correct Answer:
A
— The closeness of a measured value to the true value
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Q. In the context of measurement, what does the term 'precision' refer to?
A.
The closeness of a measurement to the true value
B.
The reproducibility of measurements
C.
The range of values
D.
The average of measurements
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Solution
Precision refers to the reproducibility of measurements, indicating how consistent the results are when repeated.
Correct Answer:
B
— The reproducibility of measurements
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Q. In the context of the Biot-Savart Law, what does the symbol μ₀ represent?
A.
Electric permittivity
B.
Magnetic permeability of free space
C.
Magnetic field strength
D.
Electric field strength
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Solution
The symbol μ₀ represents the magnetic permeability of free space, which is a constant used in the Biot-Savart Law.
Correct Answer:
B
— Magnetic permeability of free space
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Q. In the context of the Biot-Savart Law, what does the term 'current element' refer to?
A.
A small segment of wire carrying current
B.
The total current in the wire
C.
The direction of current flow
D.
The magnetic field produced by the current
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Solution
A 'current element' refers to a small segment of wire carrying current, which contributes to the overall magnetic field.
Correct Answer:
A
— A small segment of wire carrying current
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Q. In the equilibrium constant expression Kc, what is the unit for Kc if the reaction is A(g) + B(g) ⇌ C(g)?
A.
mol/L
B.
L/mol
C.
dimensionless
D.
mol^2/L^2
Show solution
Solution
The equilibrium constant Kc is dimensionless because it is a ratio of concentrations raised to their stoichiometric coefficients.
Correct Answer:
C
— dimensionless
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Q. In the equilibrium reaction 2SO2(g) + O2(g) ⇌ 2SO3(g), if SO2 is added, what will be the effect on the equilibrium?
A.
Shift to the right
B.
Shift to the left
C.
No change
D.
Increase in pressure
Show solution
Solution
Adding SO2 will shift the equilibrium to the right to produce more SO3, according to Le Chatelier's principle.
Correct Answer:
A
— Shift to the right
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Q. In the equilibrium reaction 2SO2(g) + O2(g) ⇌ 2SO3(g), what happens if SO3 is removed?
A.
Shift to the right
B.
Shift to the left
C.
No change
D.
Increase in pressure
Show solution
Solution
Removing SO3 will shift the equilibrium to the right to produce more SO3.
Correct Answer:
A
— Shift to the right
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Q. In the expansion of (1 + x)^10, what is the coefficient of x^5?
A.
252
B.
210
C.
120
D.
300
Show solution
Solution
The coefficient of x^5 is C(10,5) = 10! / (5!5!) = 252.
Correct Answer:
A
— 252
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Q. In the expansion of (2 + 3x)^4, what is the coefficient of x?
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Solution
The coefficient of x is C(4,1) * 2^3 * 3 = 4 * 8 * 3 = 96.
Correct Answer:
A
— 12
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Q. In the expansion of (2 + 3x)^4, what is the coefficient of x^2?
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Solution
The coefficient of x^2 is C(4,2) * (2)^2 * (3)^2 = 6 * 4 * 9 = 216.
Correct Answer:
B
— 54
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Q. In the expansion of (2x + 3)^4, what is the coefficient of x^1?
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Solution
The coefficient of x^1 is C(4,1) * (2)^1 * (3)^3 = 4 * 2 * 27 = 216.
Correct Answer:
B
— 48
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Q. In the expansion of (2x + 3)^4, what is the coefficient of x^2?
A.
108
B.
72
C.
36
D.
144
Show solution
Solution
The coefficient of x^2 is C(4,2) * (2)^2 * (3)^2 = 6 * 4 * 9 = 216.
Correct Answer:
B
— 72
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Q. In the expansion of (2x + 3)^6, what is the coefficient of x^4?
A.
540
B.
720
C.
810
D.
900
Show solution
Solution
The coefficient of x^4 is C(6,4) * (2)^4 * (3)^2 = 15 * 16 * 9 = 2160.
Correct Answer:
B
— 720
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Q. In the expansion of (2x + 3y)^4, what is the coefficient of x^2y^2?
A.
108
B.
72
C.
36
D.
144
Show solution
Solution
The coefficient is C(4,2) * (2)^2 * (3)^2 = 6 * 4 * 9 = 216.
Correct Answer:
A
— 108
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Q. In the expansion of (2x + 5)^4, what is the coefficient of x^2?
A.
300
B.
600
C.
450
D.
500
Show solution
Solution
The coefficient of x^2 is C(4,2) * (2)^2 * (5)^2 = 6 * 4 * 25 = 600.
Correct Answer:
A
— 300
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Q. In the expansion of (2x - 3)^3, what is the coefficient of x?
A.
-9
B.
-18
C.
-27
D.
-6
Show solution
Solution
The coefficient of x is C(3,1) * (2)^1 * (-3)^2 = 3 * 2 * 9 = -54.
Correct Answer:
B
— -18
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