Undergraduate MCQ & Objective Questions
The undergraduate level is a crucial phase in a student's academic journey, especially for those preparing for school and competitive exams. Mastering this stage can significantly enhance your understanding and retention of key concepts. Practicing MCQs and objective questions is essential, as it not only helps in reinforcing knowledge but also boosts your confidence in tackling important questions during exams.
What You Will Practise Here
Fundamental concepts in Mathematics and Science
Key definitions and theories across various subjects
Important formulas and their applications
Diagrams and graphical representations
Critical thinking and problem-solving techniques
Subject-specific MCQs designed for competitive exams
Revision of essential topics for better retention
Exam Relevance
Undergraduate topics are integral to various examinations such as CBSE, State Boards, NEET, and JEE. These subjects often feature a mix of conceptual and application-based questions. Common patterns include multiple-choice questions that assess both theoretical knowledge and practical application, making it vital for students to be well-versed in undergraduate concepts.
Common Mistakes Students Make
Overlooking the importance of understanding concepts rather than rote memorization
Misinterpreting questions due to lack of careful reading
Neglecting to practice numerical problems that require application of formulas
Failing to review mistakes made in previous practice tests
FAQs
Question: What are some effective strategies for solving undergraduate MCQ questions?Answer: Focus on understanding the concepts, practice regularly, and review your answers to learn from mistakes.
Question: How can I improve my speed in answering objective questions?Answer: Time yourself while practicing and gradually increase the number of questions you attempt in a set time.
Start your journey towards mastering undergraduate subjects today! Solve practice MCQs and test your understanding to ensure you are well-prepared for your exams. Your success is just a question away!
Q. What is the effect on the interference pattern if the wavelength of light used in a double-slit experiment is increased? (2023)
A.
Fringe width decreases
B.
Fringe width increases
C.
Fringe separation remains the same
D.
Fringe visibility decreases
Show solution
Solution
Increasing the wavelength increases the fringe width, as fringe width β is directly proportional to the wavelength.
Correct Answer:
B
— Fringe width increases
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Q. What is the effect on the total resistance in a series circuit if one resistor is removed? (2023)
A.
Increases
B.
Decreases
C.
Remains the same
D.
Becomes zero
Show solution
Solution
Removing a resistor from a series circuit decreases the total resistance since the sum of the remaining resistances is less.
Correct Answer:
B
— Decreases
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Q. What is the effect on total resistance when more resistors are added in parallel? (2022)
A.
It increases
B.
It decreases
C.
It remains the same
D.
It becomes zero
Show solution
Solution
Adding resistors in parallel decreases the total resistance.
Correct Answer:
B
— It decreases
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Q. What is the efficiency of a Carnot engine operating between 300 K and 600 K? (2022)
A.
0.5
B.
0.33
C.
0.25
D.
0.67
Show solution
Solution
Efficiency = 1 - (T_c/T_h) = 1 - (300/600) = 0.5.
Correct Answer:
A
— 0.5
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Q. What is the efficiency of a Carnot engine operating between 500 K and 300 K? (2022)
A.
0.4
B.
0.5
C.
0.6
D.
0.7
Show solution
Solution
Efficiency = 1 - (T2/T1) = 1 - (300/500) = 0.4 or 40%.
Correct Answer:
C
— 0.6
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Q. What is the efficiency of a Carnot engine operating between a hot reservoir at 600 K and a cold reservoir at 300 K?
A.
0.5
B.
0.33
C.
0.25
D.
0.75
Show solution
Solution
Efficiency (η) = 1 - (T_c/T_h) = 1 - (300/600) = 0.5 or 50%.
Correct Answer:
B
— 0.33
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Q. What is the efficiency of a Carnot engine operating between temperatures of 500 K and 300 K?
A.
0.4
B.
0.5
C.
0.6
D.
0.7
Show solution
Solution
Efficiency (η) = 1 - (T2/T1) = 1 - (300/500) = 0.4 or 40%.
Correct Answer:
C
— 0.6
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Q. What is the efficiency of a Carnot engine operating between temperatures T1 and T2? (2019) 2019
A.
(T1 - T2) / T1
B.
T2 / T1
C.
(T1 - T2) / T2
D.
1 - (T2 / T1)
Show solution
Solution
The efficiency (η) of a Carnot engine is given by η = 1 - (T2 / T1), where T1 is the higher temperature and T2 is the lower temperature.
Correct Answer:
D
— 1 - (T2 / T1)
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Q. What is the electric field at a distance of 1 m from a charge of +10 µC? (2019)
A.
9000 N/C
B.
10000 N/C
C.
11000 N/C
D.
12000 N/C
Show solution
Solution
E = k * |q| / r² = (9 × 10^9 N m²/C²) * (10 × 10^-6 C) / (1 m)² = 9000 N/C.
Correct Answer:
B
— 10000 N/C
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Q. What is the electric field at a distance of 1 m from a charge of -4 μC? (2019)
A.
-3600 N/C
B.
-900 N/C
C.
900 N/C
D.
3600 N/C
Show solution
Solution
E = k * |q| / r² = (9 × 10^9 N m²/C²) * (4 × 10^-6 C) / (1 m)² = 3600 N/C, directed towards the charge.
Correct Answer:
A
— -3600 N/C
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Q. What is the electric field at a point due to a uniformly charged infinite plane sheet? (2020)
A.
0
B.
σ/2ε₀
C.
σ/ε₀
D.
σ/4ε₀
Show solution
Solution
The electric field due to an infinite plane sheet is E = σ/2ε₀ on both sides, but the total field is σ/ε₀.
Correct Answer:
C
— σ/ε₀
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Q. What is the electric field due to a point charge at a distance 'r' from it? (2021)
A.
k * q / r^2
B.
k * q / r
C.
k * q * r
D.
k * q * r^2
Show solution
Solution
The electric field (E) due to a point charge (q) at a distance (r) is given by E = k * q / r^2, where k is Coulomb's constant.
Correct Answer:
A
— k * q / r^2
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Q. What is the electric field due to a point charge of +10 µC at a distance of 0.1 m? (2023)
A.
9000 N/C
B.
900 N/C
C.
90 N/C
D.
9 N/C
Show solution
Solution
Electric field E = k * |q| / r² = (9 × 10^9 N m²/C²) * (10 × 10^-6 C) / (0.1 m)² = 9000 N/C.
Correct Answer:
A
— 9000 N/C
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Q. What is the electric field due to a point charge of +3 µC at a distance of 0.3 m?
A.
30 N/C
B.
90 N/C
C.
300 N/C
D.
900 N/C
Show solution
Solution
E = k * |q| / r^2 = (9 × 10^9) * (3 × 10^-6) / (0.3)^2 = 90 N/C.
Correct Answer:
B
— 90 N/C
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Q. What is the electric field due to a point charge of +5 µC at a distance of 0.2 m? (2022)
A.
11250 N/C
B.
5625 N/C
C.
22500 N/C
D.
4500 N/C
Show solution
Solution
Using E = k * |q| / r² = (9 × 10^9 N m²/C²) * (5 × 10^-6 C) / (0.2 m)² = 11250 N/C.
Correct Answer:
A
— 11250 N/C
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Q. What is the electric potential at a point 0.4 m away from a charge of +5 µC?
A.
45 V
B.
50 V
C.
55 V
D.
60 V
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Solution
V = k * q / r = (9 × 10^9) * (5 × 10^-6) / 0.4 = 112.5 V.
Correct Answer:
B
— 50 V
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Q. What is the electric potential at a point due to a charge Q at a distance r? (2021)
A.
kQ/r
B.
kQr
C.
kQ/r^2
D.
0
Show solution
Solution
The electric potential (V) at a distance r from a point charge Q is given by V = kQ/r.
Correct Answer:
A
— kQ/r
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Q. What is the electron configuration of Chromium?
A.
[Ar] 3d4 4s2
B.
[Ar] 3d5 4s1
C.
[Ar] 3d6 4s2
D.
[Ar] 3d3 4s2
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Solution
Chromium (Cr) has the electron configuration [Ar] 3d5 4s1 due to stability of half-filled d-orbitals.
Correct Answer:
B
— [Ar] 3d5 4s1
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Q. What is the electrostatic potential at a point due to a point charge Q located at a distance r from the charge? (2021)
A.
kQ/r
B.
kQr
C.
kQ/r^2
D.
kQ^2/r
Show solution
Solution
The electrostatic potential V at a distance r from a point charge Q is given by V = kQ/r, where k is Coulomb's constant.
Correct Answer:
A
— kQ/r
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Q. What is the energy band gap of a typical semiconductor? (2021)
A.
0.1 eV
B.
1.1 eV
C.
2.0 eV
D.
3.5 eV
Show solution
Solution
The energy band gap of a typical semiconductor like silicon is approximately 1.1 eV.
Correct Answer:
B
— 1.1 eV
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Q. What is the energy of a photon emitted when an electron transitions from n=3 to n=2 in a hydrogen atom? (Rydberg constant R = 1.097 x 10^7 m^-1) (2021)
A.
1.89 eV
B.
3.40 eV
C.
4.86 eV
D.
5.13 eV
Show solution
Solution
Energy = 13.6 eV * (1/n1^2 - 1/n2^2) = 13.6 * (1/2^2 - 1/3^2) = 3.40 eV.
Correct Answer:
B
— 3.40 eV
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Q. What is the energy of a photon emitted when an electron transitions from n=3 to n=2 in a hydrogen atom? (2019)
A.
1.89 eV
B.
3.40 eV
C.
10.20 eV
D.
12.09 eV
Show solution
Solution
The energy difference can be calculated using the formula E = 13.6 eV (1/n1² - 1/n2²). For n1=2 and n2=3, E = 13.6 eV (1/2² - 1/3²) = 1.89 eV.
Correct Answer:
A
— 1.89 eV
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Q. What is the energy of a photon emitted when an electron transitions from n=4 to n=2 in a hydrogen atom? (2019)
A.
10.2 eV
B.
12.1 eV
C.
1.89 eV
D.
3.4 eV
Show solution
Solution
The energy difference can be calculated using the formula E = 13.6 eV (1/n1² - 1/n2²). For n1=2 and n2=4, E = 13.6(1/2² - 1/4²) = 10.2 eV.
Correct Answer:
A
— 10.2 eV
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Q. What is the energy released in nuclear fusion compared to nuclear fission? (2023)
A.
Less
B.
Equal
C.
More
D.
None
Show solution
Solution
The energy released in nuclear fusion is generally more than that released in nuclear fission, making it a powerful energy source.
Correct Answer:
C
— More
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Q. What is the energy released in nuclear fusion primarily due to? (2023)
A.
Mass defect
B.
Chemical bonds
C.
Nuclear forces
D.
Electromagnetic interactions
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Solution
The energy released in nuclear fusion is primarily due to the mass defect, where the mass of the resulting nucleus is less than the sum of the masses of the individual nucleons.
Correct Answer:
A
— Mass defect
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Q. What is the energy stored in a capacitor of capacitance 4μF charged to 12V? (2022)
A.
24μJ
B.
28.8μJ
C.
48μJ
D.
72μJ
Show solution
Solution
The energy stored (U) is given by U = 1/2 CV². Thus, U = 1/2 * 4μF * (12V)² = 288μJ.
Correct Answer:
C
— 48μJ
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Q. What is the energy stored in a capacitor of capacitance 5μF charged to a potential difference of 10V? (2023)
A.
0.25mJ
B.
0.5mJ
C.
0.75mJ
D.
1mJ
Show solution
Solution
Using the formula U = 1/2 CV², we have U = 1/2 * 5μF * (10V)² = 0.5mJ.
Correct Answer:
B
— 0.5mJ
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Q. What is the energy stored in a capacitor of capacitance C charged to a potential V? (2021)
A.
CV
B.
1/2 CV^2
C.
1/2 QV
D.
QV
Show solution
Solution
The energy (U) stored in a capacitor is given by the formula U = 1/2 CV^2.
Correct Answer:
B
— 1/2 CV^2
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Q. What is the equation of a plane passing through the point (1, 2, 3) with normal vector (1, 1, 1)? (2022)
A.
x + y + z = 6
B.
x + y + z = 3
C.
x + y + z = 1
D.
x + y + z = 0
Show solution
Solution
Equation of the plane: 1(x-1) + 1(y-2) + 1(z-3) = 0 => x + y + z = 6.
Correct Answer:
A
— x + y + z = 6
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Q. What is the equation of a plane passing through the point (1, 2, 3) with normal vector (2, -1, 3)? (2021)
A.
2x - y + 3z = 12
B.
2x + y - 3z = 0
C.
2x - y + 3z = 0
D.
2x + y + 3z = 12
Show solution
Solution
Equation of the plane: 2(x-1) - 1(y-2) + 3(z-3) = 0 simplifies to 2x - y + 3z = 12.
Correct Answer:
C
— 2x - y + 3z = 0
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