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 pH of a 0.1 M solution of sodium bicarbonate (NaHCO3)?
A.
7.5
B.
8.4
C.
9.0
D.
6.0
Show solution
Solution
NaHCO3 is a weak base; its pH is around 8.4.
Correct Answer:
B
— 8.4
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Q. What is the pH of a buffer solution containing 0.1 M acetic acid and 0.1 M sodium acetate?
A.
4.74
B.
5.74
C.
6.74
D.
7.74
Show solution
Solution
Using the Henderson-Hasselbalch equation, pH = pKa + log([A-]/[HA]). Here, pKa ≈ 4.74, so pH = 4.74 + log(1) = 4.74.
Correct Answer:
A
— 4.74
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Q. What is the pH of a buffer solution containing 0.2 M acetic acid and 0.1 M sodium acetate?
A.
4.76
B.
5.00
C.
5.74
D.
6.00
Show solution
Solution
Using the Henderson-Hasselbalch equation: pH = pKa + log([A-]/[HA]) = 4.76 + log(0.1/0.2) = 5.74
Correct Answer:
C
— 5.74
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Q. What is the pH of a buffer solution made from 0.2 M acetic acid and 0.2 M sodium acetate?
A.
4.76
B.
5.76
C.
6.76
D.
7.76
Show solution
Solution
Using the Henderson-Hasselbalch equation, pH = pKa + log([A-]/[HA]) = 4.76.
Correct Answer:
A
— 4.76
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Q. What is the pH of a neutral solution at 25°C?
Show solution
Solution
At 25°C, the pH of a neutral solution is 7.
Correct Answer:
B
— 7
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Q. What is the pH of a neutral solution of hydrogen ions?
Show solution
Solution
A neutral solution has a pH of 7.
Correct Answer:
B
— 7
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Q. What is the pH of a solution formed by mixing equal volumes of 0.1 M HCl and 0.1 M NaOH?
Show solution
Solution
HCl and NaOH neutralize each other completely, resulting in a neutral solution with a pH of 7.
Correct Answer:
A
— 7
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Q. What is the pH of a solution that has a hydrogen ion concentration of 1 x 10^-5 M?
Show solution
Solution
pH is calculated as pH = -log[H+]. For [H+] = 1 x 10^-5 M, pH = -log(1 x 10^-5) = 5.
Correct Answer:
A
— 5
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Q. What is the pH of a solution that has a hydronium ion concentration of 1 x 10^-5 M?
Show solution
Solution
pH is calculated as pH = -log[H3O+]. For [H3O+] = 1 x 10^-5 M, pH = -log(1 x 10^-5) = 5.
Correct Answer:
A
— 5
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Q. What is the pH of a solution that has a hydroxide ion concentration of 1.0 x 10^-3 M?
Show solution
Solution
pOH = -log[OH-] = -log(1.0 x 10^-3) = 3. Therefore, pH = 14 - pOH = 14 - 3 = 11.
Correct Answer:
A
— 11
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Q. What is the pH of a solution that has a [H+] concentration of 1 x 10^-7 M?
Show solution
Solution
pH = -log[H+] = -log(1 x 10^-7) = 7.
Correct Answer:
A
— 7
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Q. What is the pH of a solution that is 0.1 M in both acetic acid and sodium acetate?
A.
4.76
B.
5.76
C.
6.76
D.
7.76
Show solution
Solution
Using Henderson-Hasselbalch equation: pH = pKa + log([A-]/[HA]); pKa of acetic acid = 4.76, so pH = 4.76 + log(1) = 4.76
Correct Answer:
A
— 4.76
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Q. What is the pH of a solution with a hydroxide ion concentration of 0.001 M?
Show solution
Solution
pOH = -log[OH-] = -log(0.001) = 3; pH = 14 - pOH = 14 - 3 = 11
Correct Answer:
B
— 12
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Q. What is the pH of a solution with a hydroxide ion concentration of 1.0 x 10^-4 M?
Show solution
Solution
To find the pH, first calculate pOH = -log[OH-] = 4, then use pH + pOH = 14, so pH = 14 - 4 = 10.
Correct Answer:
A
— 10
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Q. What is the pH of a solution with [H+] = 1 x 10^-6 M?
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Solution
Using the formula pH = -log[H+], we find pH = -log(1 x 10^-6) = 6.
Correct Answer:
A
— 6
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Q. What is the phase difference between the displacement and acceleration in simple harmonic motion?
A.
0 degrees
B.
90 degrees
C.
180 degrees
D.
270 degrees
Show solution
Solution
In simple harmonic motion, acceleration is always opposite to displacement, hence the phase difference is 180 degrees.
Correct Answer:
C
— 180 degrees
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Q. What is the phase difference between the displacement and acceleration of a particle in simple harmonic motion?
A.
0 degrees
B.
90 degrees
C.
180 degrees
D.
270 degrees
Show solution
Solution
In simple harmonic motion, the acceleration is always directed towards the mean position and is 180 degrees out of phase with the displacement.
Correct Answer:
C
— 180 degrees
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Q. What is the phase difference between the displacement and acceleration of a simple harmonic oscillator?
A.
0 degrees
B.
90 degrees
C.
180 degrees
D.
270 degrees
Show solution
Solution
In simple harmonic motion, acceleration is 180 degrees out of phase with displacement.
Correct Answer:
C
— 180 degrees
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Q. What is the phase difference between the driving force and the displacement in a forced oscillation at resonance?
A.
0 degrees
B.
90 degrees
C.
180 degrees
D.
270 degrees
Show solution
Solution
At resonance, the phase difference between the driving force and the displacement is 0 degrees.
Correct Answer:
A
— 0 degrees
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Q. What is the phase difference between the driving force and the displacement in a damped forced oscillator at resonance?
A.
0°
B.
90°
C.
180°
D.
270°
Show solution
Solution
At resonance, the phase difference is 90°.
Correct Answer:
B
— 90°
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Q. What is the phase difference between the driving force and the displacement in a damped oscillator at resonance?
A.
0 degrees
B.
90 degrees
C.
180 degrees
D.
270 degrees
Show solution
Solution
At resonance, the phase difference between the driving force and the displacement is 180 degrees.
Correct Answer:
C
— 180 degrees
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Q. What is the phase difference between two particles in simple harmonic motion that are in phase?
A.
0 radians
B.
π/2 radians
C.
π radians
D.
3π/2 radians
Show solution
Solution
When two particles are in phase, they reach their maximum and minimum displacements at the same time, resulting in a phase difference of 0 radians.
Correct Answer:
A
— 0 radians
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Q. What is the phase difference between two particles in simple harmonic motion that are 90 degrees out of phase?
A.
0 radians
B.
π/2 radians
C.
π radians
D.
3π/2 radians
Show solution
Solution
A phase difference of 90 degrees corresponds to π/2 radians.
Correct Answer:
B
— π/2 radians
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Q. What is the phase difference between two particles in simple harmonic motion that are in the same position at the same time?
Show solution
Solution
If two particles are in the same position at the same time in simple harmonic motion, they have a phase difference of 0.
Correct Answer:
A
— 0
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Q. What is the phase difference between two particles in the same wave at a distance of λ/2?
A.
0 radians
B.
π/2 radians
C.
π radians
D.
3π/2 radians
Show solution
Solution
The phase difference between two points in the same wave separated by a distance of λ/2 is π radians.
Correct Answer:
C
— π radians
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Q. What is the phase difference between two points on a wave that are 1/4 wavelength apart?
A.
0 radians
B.
π/2 radians
C.
π radians
D.
3π/2 radians
Show solution
Solution
The phase difference Δφ between two points separated by a distance of λ/4 is given by Δφ = (2π/λ)(λ/4) = π/2 radians.
Correct Answer:
B
— π/2 radians
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Q. What is the phase difference between two points on a wave that are half a wavelength apart?
A.
0 radians
B.
π/2 radians
C.
π radians
D.
2π radians
Show solution
Solution
The phase difference between two points that are half a wavelength apart is π radians.
Correct Answer:
C
— π radians
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Q. What is the phase difference between two points on a wave that are one wavelength apart?
A.
0 radians
B.
π/2 radians
C.
π radians
D.
2π radians
Show solution
Solution
The phase difference between two points on a wave that are one wavelength apart is 2π radians.
Correct Answer:
D
— 2π radians
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Q. What is the phase difference between two waves that are 180° out of phase?
A.
0
B.
90°
C.
180°
D.
360°
Show solution
Solution
A phase difference of 180° corresponds to the waves being out of phase, leading to destructive interference.
Correct Answer:
C
— 180°
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Q. What is the phase difference between two waves that are in phase?
A.
0 radians
B.
π/2 radians
C.
π radians
D.
2π radians
Show solution
Solution
When two waves are in phase, their phase difference is 0 radians.
Correct Answer:
A
— 0 radians
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