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. What is the gravitational potential energy of a 5 kg mass at a height of 10 m above the ground?
A.
490 J
B.
500 J
C.
510 J
D.
450 J
Show solution
Solution
Gravitational potential energy U = mgh = 5 * 9.8 * 10 = 490 J.
Correct Answer:
B
— 500 J
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Q. What is the gravitational potential energy of a mass 'm' at height 'h' above the Earth's surface?
A.
mgh
B.
mg/h
C.
gh/m
D.
mgh^2
Show solution
Solution
The gravitational potential energy U at height h is given by U = mgh.
Correct Answer:
A
— mgh
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Q. What is the gravitational potential energy of a mass m at a height h above the Earth's surface?
A.
U = mgh
B.
U = mg/h
C.
U = mgh²
D.
U = gh/m
Show solution
Solution
The gravitational potential energy is given by the formula U = mgh, where g is the acceleration due to gravity.
Correct Answer:
A
— U = mgh
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Q. What is the gravitational potential energy of a mass of 10 kg at a height of 5 m in a gravitational field of strength 9.8 N/kg?
A.
490 J
B.
50 J
C.
98 J
D.
0 J
Show solution
Solution
Gravitational potential energy U = mgh = 10 * 9.8 * 5 = 490 J.
Correct Answer:
A
— 490 J
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Q. What is the gravitational potential energy of a mass of 10 kg at a height of 5 m above the ground? (2000)
A.
500 J
B.
1000 J
C.
1500 J
D.
2000 J
Show solution
Solution
Gravitational potential energy U = mgh = 10 kg * 9.8 m/s² * 5 m = 490 J, approximately 500 J.
Correct Answer:
B
— 1000 J
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Q. What is the gravitational potential energy of a mass of 10 kg at a height of 5 m above the ground? (g = 9.8 m/s²)
A.
490 J
B.
98 J
C.
588 J
D.
0 J
Show solution
Solution
U = mgh = 10 * 9.8 * 5 = 490 J
Correct Answer:
A
— 490 J
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Q. What is the gravitational potential energy of a mass of 2 kg at a height of 10 m? (g = 9.8 m/s²)
A.
19.6 J
B.
39.2 J
C.
78.4 J
D.
98 J
Show solution
Solution
PE = mgh = 2 * 9.8 * 10 = 196 J
Correct Answer:
B
— 39.2 J
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Q. What is the gravitational potential energy of a mass of 2 kg at a height of 10 m above the ground? (g = 9.8 m/s^2)
A.
196 J
B.
98 J
C.
20 J
D.
10 J
Show solution
Solution
Gravitational potential energy (U) = mgh = 2 kg * 9.8 m/s^2 * 10 m = 196 J.
Correct Answer:
A
— 196 J
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Q. What is the gravitational potential energy of a mass of 2 kg at a height of 10 m in a gravitational field of 9.8 m/s²?
A.
19.6 J
B.
39.2 J
C.
78.4 J
D.
98 J
Show solution
Solution
Gravitational potential energy (U) = mgh = 2 kg * 9.8 m/s² * 10 m = 196 J.
Correct Answer:
B
— 39.2 J
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Q. What is the gravitational potential energy of a satellite of mass m at a height h above the Earth's surface?
A.
-GMm/R
B.
-GMm/(R+h)
C.
-GMm/(R-h)
D.
-GMm/(R^2 + h^2)
Show solution
Solution
The gravitational potential energy of a satellite at height h is given by U = -GMm/(R+h), where R is the radius of the Earth.
Correct Answer:
B
— -GMm/(R+h)
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Q. What is the gravitational potential energy of an object of mass m at a height h above the Earth's surface?
A.
mgh
B.
gh/m
C.
mg/h
D.
mgh^2
Show solution
Solution
The gravitational potential energy is given by the formula U = mgh.
Correct Answer:
A
— mgh
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Q. What is the gravitational potential energy of two masses m1 and m2 separated by a distance r?
A.
-G * (m1 * m2) / r
B.
G * (m1 * m2) / r
C.
G * (m1 + m2) / r
D.
-G * (m1 + m2) / r
Show solution
Solution
The gravitational potential energy is given by U = -G * (m1 * m2) / r.
Correct Answer:
A
— -G * (m1 * m2) / r
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Q. What is the gravitational potential energy U of two masses m1 and m2 separated by a distance r?
A.
U = -G * (m1 * m2) / r
B.
U = G * (m1 * m2) / r
C.
U = (m1 + m2) * r
D.
U = G * (m1 - m2) / r
Show solution
Solution
The gravitational potential energy is given by U = -G * (m1 * m2) / r.
Correct Answer:
A
— U = -G * (m1 * m2) / r
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Q. What is the half-life of a radioactive isotope?
A.
Time taken for half of the sample to decay
B.
Time taken for the entire sample to decay
C.
Time taken for the sample to double
D.
None of the above
Show solution
Solution
The half-life is defined as the time taken for half of the radioactive sample to decay.
Correct Answer:
A
— Time taken for half of the sample to decay
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Q. What is the half-life of a radioactive substance if it takes 10 years for half of the substance to decay?
A.
5 years
B.
10 years
C.
20 years
D.
30 years
Show solution
Solution
The half-life is defined as the time required for half of the radioactive substance to decay, which is given as 10 years.
Correct Answer:
B
— 10 years
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Q. What is the half-life of a radioactive substance?
A.
The time taken for half of the substance to decay
B.
The time taken for the entire substance to decay
C.
The time taken for the substance to double
D.
The time taken for the substance to reach equilibrium
Show solution
Solution
The half-life of a radioactive substance is defined as the time taken for half of the substance to decay.
Correct Answer:
A
— The time taken for half of the substance to decay
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Q. What is the heat required to raise the temperature of 250 g of aluminum from 25°C to 75°C? (Specific heat of aluminum = 0.9 J/g°C)
A.
4500 J
B.
5000 J
C.
6000 J
D.
7000 J
Show solution
Solution
Q = m*c*ΔT = 250 g * 0.9 J/g°C * (75°C - 25°C) = 4500 J.
Correct Answer:
A
— 4500 J
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Q. What is the hybridization of a molecule with a tetrahedral shape?
A.
sp
B.
sp2
C.
sp3
D.
sp3d
Show solution
Solution
A tetrahedral shape corresponds to sp3 hybridization.
Correct Answer:
C
— sp3
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Q. What is the hybridization of carbon atoms in benzene?
A.
sp
B.
sp2
C.
sp3
D.
dsp2
Show solution
Solution
The carbon atoms in benzene are sp2 hybridized, forming a planar structure with 120-degree bond angles.
Correct Answer:
B
— sp2
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Q. What is the hybridization of nitrogen in a primary amine?
A.
sp
B.
sp2
C.
sp3
D.
None of the above
Show solution
Solution
The nitrogen in a primary amine is sp3 hybridized.
Correct Answer:
C
— sp3
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Q. What is the hybridization of nitrogen in amines?
A.
sp
B.
sp2
C.
sp3
D.
sp3d
Show solution
Solution
Nitrogen in amines is sp3 hybridized due to the presence of three substituents and a lone pair.
Correct Answer:
C
— sp3
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Q. What is the hybridization of the carbon atom in acetylene (C2H2)?
A.
sp
B.
sp2
C.
sp3
D.
dsp3
Show solution
Solution
In acetylene, each carbon atom is sp hybridized, forming a triple bond between them.
Correct Answer:
A
— sp
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Q. What is the hybridization of the carbon atom in CO2?
A.
sp
B.
sp2
C.
sp3
D.
dsp3
Show solution
Solution
In CO2, the carbon atom forms two double bonds with oxygen atoms, indicating sp hybridization.
Correct Answer:
A
— sp
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Q. What is the hybridization of the carbon atom in ethylene (C2H4)?
A.
sp
B.
sp2
C.
sp3
D.
sp3d
Show solution
Solution
In ethylene, each carbon atom is sp2 hybridized, forming a double bond with the other carbon.
Correct Answer:
B
— sp2
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Q. What is the hybridization of the carbon atom in ethyne (C2H2)?
A.
sp
B.
sp2
C.
sp3
D.
dsp3
Show solution
Solution
The carbon atoms in ethyne (C2H2) are sp hybridized due to the triple bond between them.
Correct Answer:
A
— sp
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Q. What is the hybridization of the carbon atoms in alkenes?
A.
sp
B.
sp2
C.
sp3
D.
None of the above
Show solution
Solution
The carbon atoms in alkenes are sp2 hybridized due to the presence of a double bond.
Correct Answer:
B
— sp2
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Q. What is the hybridization of the carbon atoms in an alkyne?
A.
sp
B.
sp2
C.
sp3
D.
dsp3
Show solution
Solution
In alkynes, the carbon atoms involved in the triple bond are sp hybridized.
Correct Answer:
A
— sp
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Q. What is the hybridization of the carbon atoms in benzene?
A.
sp
B.
sp2
C.
sp3
D.
dsp3
Show solution
Solution
The carbon atoms in benzene are sp2 hybridized, forming a planar structure with 120-degree bond angles.
Correct Answer:
B
— sp2
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Q. What is the hybridization of the carbon atoms in ethylene (C2H4)?
A.
sp
B.
sp2
C.
sp3
D.
sp3d
Show solution
Solution
The carbon atoms in ethylene (C2H4) are sp2 hybridized due to the presence of a double bond.
Correct Answer:
B
— sp2
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Q. What is the hybridization of the carbon atoms in ethyne (C2H2)?
A.
sp
B.
sp2
C.
sp3
D.
dsp3
Show solution
Solution
In ethyne, the carbon atoms are sp hybridized due to the presence of a triple bond.
Correct Answer:
A
— sp
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