Engineering Entrance MCQ & Objective Questions
Preparing for Engineering Entrance exams is crucial for aspiring engineers in India. Mastering MCQs and objective questions not only enhances your understanding of key concepts but also boosts your confidence during exams. Regular practice with these questions helps identify important topics and improves your overall exam preparation.
What You Will Practise Here
Fundamental concepts of Physics and Mathematics
Key formulas and their applications in problem-solving
Important definitions and theorems relevant to engineering
Diagrams and graphical representations for better understanding
Conceptual questions that challenge your critical thinking
Previous years' question papers and their analysis
Time management strategies while solving MCQs
Exam Relevance
The Engineering Entrance syllabus is integral to various examinations like CBSE, State Boards, NEET, and JEE. Questions often focus on core subjects such as Physics, Chemistry, and Mathematics, with formats varying from direct MCQs to application-based problems. Understanding the common question patterns can significantly enhance your performance and help you tackle the exams with ease.
Common Mistakes Students Make
Overlooking the importance of units and dimensions in calculations
Misinterpreting questions due to lack of careful reading
Neglecting to review basic concepts before attempting advanced problems
Rushing through practice questions without thorough understanding
FAQs
Question: What are the best ways to prepare for Engineering Entrance MCQs?Answer: Focus on understanding concepts, practice regularly with objective questions, and review previous years' papers.
Question: How can I improve my speed in solving MCQs?Answer: Regular practice, time-bound mock tests, and familiarizing yourself with common question types can help improve your speed.
Start your journey towards success by solving Engineering Entrance MCQ questions today! Test your understanding and build a strong foundation for your exams.
Q. What is the pH of a 0.01 M solution of Na2CO3?
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Solution
Na2CO3 is a basic salt, pH is approximately 11.5.
Correct Answer:
C
— 12
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Q. What is the pH of a 0.01 M solution of NaOH?
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Solution
pOH = -log(0.01) = 2; pH = 14 - pOH = 14 - 2 = 12.
Correct Answer:
B
— 13
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Q. What is the pH of a 0.01 M solution of phosphoric acid (H3PO4)?
A.
1.0
B.
2.0
C.
3.0
D.
4.0
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Solution
H3PO4 is a triprotic acid; for a dilute solution, the first dissociation dominates, giving pH ≈ 2.
Correct Answer:
B
— 2.0
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Q. What is the pH of a 0.05 M acetic acid solution (Ka = 1.8 x 10^-5)? (2023)
A.
2.9
B.
3.1
C.
4.0
D.
4.7
Show solution
Solution
Using the formula for weak acids, pH = 0.5(pKa - log[C]) where pKa = -log(1.8 x 10^-5) ≈ 4.74. pH = 0.5(4.74 - log(0.05)) ≈ 4.7.
Correct Answer:
D
— 4.7
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Q. What is the pH of a 0.05 M solution of NaCl?
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Solution
NaCl is a neutral salt, so the pH remains 7.
Correct Answer:
A
— 7
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Q. What is the pH of a 0.1 M solution of ammonium chloride (NH4Cl)? (2019) 2019
A.
5.10
B.
4.75
C.
6.00
D.
7.00
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Solution
NH4Cl is a salt of a weak base and strong acid, pH < 7. Calculate using hydrolysis: pH ≈ 4.75.
Correct Answer:
B
— 4.75
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Q. What is the pH of a 0.1 M solution of K2CO3?
A.
9.0
B.
10.0
C.
11.0
D.
12.0
Show solution
Solution
K2CO3 is a salt of a weak acid (H2CO3) and strong base (KOH), resulting in a basic solution with pH around 10.
Correct Answer:
B
— 10.0
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Q. What is the pH of a 0.1 M solution of K2SO4? (2023)
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Solution
K2SO4 is a neutral salt formed from a strong acid (H2SO4) and a strong base (KOH). Therefore, the pH of the solution is 7.
Correct Answer:
A
— 7
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Q. What is the pH of a 0.1 M solution of NH4Cl?
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Solution
NH4Cl is an acidic salt, pH is approximately 5.1.
Correct Answer:
B
— 6
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Q. What is the pH of a 0.1 M solution of sodium acetate (Ka for acetic acid = 1.8 x 10^-5)?
A.
4.75
B.
5.25
C.
9.25
D.
10.25
Show solution
Solution
Using the formula for salt of weak acid, pH = 14 + 0.5(pKa + logC) = 14 + 0.5(4.74 + log(0.1)) = 9.25.
Correct Answer:
C
— 9.25
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Q. What is the pH of a 0.1 M solution of sodium bicarbonate (NaHCO3)? (2022) 2022
A.
8.00
B.
9.00
C.
7.00
D.
6.00
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Solution
NaHCO3 is a weak base, pH ≈ 8.00 due to its bicarbonate ion acting as a weak base.
Correct Answer:
A
— 8.00
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Q. What is the pH of a 0.1 M solution of sulfuric acid (H2SO4)?
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Solution
H2SO4 is a strong acid; it dissociates completely, so [H+] = 0.1 M; pH = -log(0.1) = 1.
Correct Answer:
B
— 2
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Q. What is the pH of a buffer solution made from 0.1 M acetic acid and 0.1 M sodium acetate? (2023)
A.
4.74
B.
5.00
C.
5.74
D.
6.00
Show solution
Solution
Using the Henderson-Hasselbalch equation, pH = pKa + log([A-]/[HA]) = 4.74 + log(1) = 4.74.
Correct Answer:
A
— 4.74
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Q. What is the pH of a neutral solution at 25°C? (2023) 2023
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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 solution formed by mixing 25 mL of 0.1 M HCl with 25 mL of 0.1 M NaOH? (2020) 2020
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Solution
HCl and NaOH neutralize each other, resulting in a neutral solution with pH = 7.
Correct Answer:
A
— 7
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Q. What is the pH of a solution that is 0.01 M in both HCl and NaOH?
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Solution
HCl and NaOH neutralize each other, resulting in a neutral solution with pH = 7.
Correct Answer:
C
— 7
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Q. What is the pH of a solution when 0.1 M of Na2CO3 is dissolved in water? (2023)
A.
10.3
B.
11.0
C.
11.5
D.
12.0
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Solution
Na2CO3 is a salt of a weak acid (H2CO3) and a strong base (NaOH). The pH can be estimated using the hydrolysis of CO3^2- which gives a pH around 11.0.
Correct Answer:
B
— 11.0
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Q. What is the pH of a solution with 0.01 M of a weak acid with a Ka of 1.0 x 10^-5? (2023) 2023
A.
4.00
B.
5.00
C.
3.00
D.
6.00
Show solution
Solution
Using the formula for weak acids, pH = 0.5(pKa - logC) = 0.5(4.00 - log(0.01)) = 5.00.
Correct Answer:
B
— 5.00
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Q. What is the pH of a solution with a hydrogen ion concentration of 0.001 M? (2022)
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Solution
pH = -log[H+]. pH = -log(0.001) = 3.
Correct Answer:
A
— 3
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Q. What is the pH of a solution with [H+] = 0.00001 M?
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Solution
pH = -log(0.00001) = 5.
Correct Answer:
B
— 6
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Q. What is the pH of a solution with [H+] = 1 x 10^-7 M? (2023)
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Solution
pH = -log[H+] = -log(1 x 10^-7) = 7.
Correct Answer:
A
— 7
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Q. What is the phase angle in a circuit with a resistance of 30 ohms and a reactance of 40 ohms? (2021)
A.
53.13°
B.
36.87°
C.
45°
D.
60°
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Solution
θ = tan⁻¹(X/R) = tan⁻¹(40/30) = 53.13°.
Correct Answer:
A
— 53.13°
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Q. What is the phase difference between the voltage and current in a purely resistive AC circuit? (2021)
A.
0°
B.
45°
C.
90°
D.
180°
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Solution
In a purely resistive circuit, the voltage and current are in phase, so the phase difference is 0°.
Correct Answer:
A
— 0°
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Q. What is the phase difference between the voltage and current in a resistive AC circuit? (2021)
A.
0°
B.
45°
C.
90°
D.
180°
Show solution
Solution
In a purely resistive circuit, the voltage and current are in phase, so the phase difference is 0°.
Correct Answer:
A
— 0°
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Q. What is the phase difference between the voltage and current in a series RLC circuit at resonance? (2023)
A.
0°
B.
90°
C.
180°
D.
45°
Show solution
Solution
At resonance in a series RLC circuit, the phase difference between voltage and current is 0°.
Correct Answer:
A
— 0°
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Q. What is the phase difference between two particles in a wave that are 1/4 wavelength apart? (2019)
A.
0 rad
B.
π/2 rad
C.
π rad
D.
3π/2 rad
Show solution
Solution
Phase difference (Δφ) = 2π × (distance / wavelength) = 2π × (1/4) = π/2 rad.
Correct Answer:
B
— π/2 rad
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Q. What is the phase difference between two particles in the same medium oscillating in phase? (2023)
A.
0 radians
B.
π/2 radians
C.
π radians
D.
2π radians
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Solution
If two particles are in phase, the phase difference is 0 radians.
Correct Answer:
A
— 0 radians
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Q. What is the phase difference between two particles in the same phase of oscillation? (2022)
A.
0 radians
B.
π/2 radians
C.
π radians
D.
2π radians
Show solution
Solution
The phase difference between two particles in the same phase of oscillation is 0 radians.
Correct Answer:
A
— 0 radians
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Q. What is the phase difference between two particles in the same wave at a distance of half a wavelength? (2022)
A.
0 radians
B.
π/2 radians
C.
π radians
D.
3π/2 radians
Show solution
Solution
The phase difference between two points separated by half a wavelength 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 of a wavelength apart? (2021)
A.
0 rad
B.
π/2 rad
C.
π rad
D.
3π/2 rad
Show solution
Solution
The phase difference Δφ is given by Δφ = (2π/λ) * Δx. For Δx = λ/4, Δφ = (2π/λ) * (λ/4) = π/2 rad.
Correct Answer:
B
— π/2 rad
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