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. A circle is inscribed in a square of side 8 cm. What is the area of the circle? (2022)
A.
50.24 cm²
B.
64 cm²
C.
25.12 cm²
D.
32 cm²
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Solution
Radius = 8/2 = 4 cm; Area = πr² = π * 4² = 50.24 cm².
Correct Answer:
A
— 50.24 cm²
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Q. A circuit consists of a 9V battery and two resistors of 3Ω and 6Ω in series. What is the current flowing through the circuit? (2021)
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Solution
Total resistance R = 3Ω + 6Ω = 9Ω. Current I = V/R = 9V / 9Ω = 1A.
Correct Answer:
B
— 2A
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Q. A circuit contains a 12V battery and two resistors of 4Ω and 6Ω in parallel. What is the total current supplied by the battery? (2019)
A.
1.2 A
B.
2 A
C.
3 A
D.
4 A
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Solution
First, find the equivalent resistance R_eq = 1/(1/4 + 1/6) = 2.4Ω. Then, I = V/R_eq = 12V/2.4Ω = 5 A.
Correct Answer:
C
— 3 A
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Q. A circuit has a 15V battery and a 5Ω resistor. What is the voltage drop across the resistor? (2021)
A.
3V
B.
5V
C.
15V
D.
10V
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Solution
The voltage drop across the resistor is equal to the battery voltage, which is 15V.
Correct Answer:
C
— 15V
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Q. A circuit has a 15V battery and a total resistance of 5Ω. What is the total current flowing through the circuit? (2023)
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Solution
Using Ohm's law, I = V/R = 15V/5Ω = 3A.
Correct Answer:
C
— 3A
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Q. A circuit has a 24V battery and a total resistance of 12Ω. What is the current flowing through the circuit? (2020)
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Solution
Using Ohm's law, I = V/R = 24V / 12Ω = 2A.
Correct Answer:
B
— 4A
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Q. A circuit has a 24V battery and a total resistance of 6Ω. What is the current flowing through the circuit? (2020)
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Solution
Using Ohm's law, I = V/R = 24V / 6Ω = 4A.
Correct Answer:
A
— 4A
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Q. A circuit has a 5Ω resistor and a 10Ω resistor in parallel. What is the total current if the voltage across them is 20V? (2021)
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Solution
First, find the equivalent resistance: 1/R_eq = 1/5 + 1/10 = 3/10, so R_eq = 10/3Ω. Then, I = V/R_eq = 20V / (10/3)Ω = 6A.
Correct Answer:
D
— 8A
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Q. A circuit has a 9V battery and a 3Ω resistor. What is the voltage drop across the resistor? (2022)
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Solution
The voltage drop across the resistor is equal to the battery voltage in a simple circuit: 9V.
Correct Answer:
C
— 9V
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Q. A circuit has a 9V battery and two resistors of 3Ω and 6Ω in series. What is the current flowing through the circuit? (2022)
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Solution
Total resistance R = 3Ω + 6Ω = 9Ω. Current I = V/R = 9V / 9Ω = 1A.
Correct Answer:
B
— 2A
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Q. A circuit has a current of 2A and a resistance of 6Ω. What is the voltage across the circuit? (2020)
A.
6V
B.
12V
C.
8V
D.
10V
Show solution
Solution
Using Ohm's Law, V = I * R = 2A * 6Ω = 12V.
Correct Answer:
B
— 12V
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Q. A circuit has a current of 3A and a resistance of 6Ω. What is the voltage across the circuit? (2019)
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Solution
Using Ohm's Law, V = I * R = 3A * 6Ω = 18V.
Correct Answer:
A
— 9V
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Q. A circuit has a current of 5A and a resistance of 10Ω. What is the power consumed in the circuit? (2020)
A.
25W
B.
50W
C.
75W
D.
100W
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Solution
Power (P) can be calculated using P = I^2 * R = (5A)^2 * 10Ω = 25 * 10 = 250W.
Correct Answer:
B
— 50W
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Q. A circuit has a current of 5A and a resistance of 2Ω. What is the power consumed in the circuit? (2020)
A.
10W
B.
25W
C.
50W
D.
100W
Show solution
Solution
Power (P) can be calculated using the formula P = I^2 * R = (5A)^2 * 2Ω = 25W.
Correct Answer:
B
— 25W
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Q. A circuit has a current of 5A and a resistance of 2Ω. What is the voltage across the circuit? (2020)
A.
10V
B.
5V
C.
2.5V
D.
15V
Show solution
Solution
Using Ohm's Law, V = I * R = 5A * 2Ω = 10V.
Correct Answer:
A
— 10V
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Q. A circuit has a resistance of 10 Ω and a reactance of 10 Ω. What is the impedance of the circuit? (2020)
A.
10 Ω
B.
14.14 Ω
C.
20 Ω
D.
5 Ω
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Solution
The impedance Z = √(R² + X²) = √(10² + 10²) = √200 = 14.14 Ω.
Correct Answer:
B
— 14.14 Ω
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Q. A circuit has a resistance of 10Ω and a reactance of 5Ω. What is the impedance of the circuit? (2021)
A.
5Ω
B.
10Ω
C.
√125Ω
D.
√(10² + 5²)Ω
Show solution
Solution
The impedance Z is calculated as Z = √(R² + X²) = √(10² + 5²) = √125Ω.
Correct Answer:
D
— √(10² + 5²)Ω
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Q. A circuit has a resistance of 10Ω and a reactance of 5Ω. What is the impedance? (2020)
A.
5Ω
B.
10Ω
C.
√125Ω
D.
√(10² + 5²)Ω
Show solution
Solution
The impedance Z = √(R² + X²) = √(10² + 5²) = √125Ω.
Correct Answer:
D
— √(10² + 5²)Ω
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Q. A circuit has a resistance of 4 ohms and a current of 2 A. What is the voltage across the circuit?
A.
2 V
B.
4 V
C.
6 V
D.
8 V
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Solution
Using Ohm's Law, V = I × R. Here, I = 2 A and R = 4 ohms. Thus, V = 2 × 4 = 8 V.
Correct Answer:
D
— 8 V
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Q. A circuit has a total resistance of 12Ω and a current of 1.5A. What is the voltage across the circuit? (2021)
A.
18V
B.
12V
C.
15V
D.
9V
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Solution
Using Ohm's law, V = IR = 1.5A * 12Ω = 18V.
Correct Answer:
A
— 18V
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Q. A circuit has a total resistance of 12Ω and a current of 2A. What is the voltage across the circuit? (2021)
A.
24V
B.
12V
C.
6V
D.
48V
Show solution
Solution
Using Ohm's law (V = IR), V = 2A * 12Ω = 24V.
Correct Answer:
A
— 24V
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Q. A circuit has a total resistance of 20Ω and a current of 2A flowing through it. What is the voltage across the circuit? (2023)
A.
30V
B.
40V
C.
20V
D.
10V
Show solution
Solution
Using Ohm's law, V = I * R = 2A * 20Ω = 40V.
Correct Answer:
B
— 40V
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Q. A circuit has a total resistance of 5Ω and a current of 2A. What is the voltage across the circuit? (2023)
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Solution
Using Ohm's law, V = I * R = 2A * 5Ω = 10V.
Correct Answer:
A
— 10V
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Q. A circuit has a total resistance of 8Ω and a current of 4A flowing through it. What is the voltage across the circuit? (2021)
A.
32V
B.
16V
C.
8V
D.
4V
Show solution
Solution
Using Ohm's law, V = I * R = 4A * 8Ω = 32V.
Correct Answer:
A
— 32V
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Q. A circuit has a total resistance of 8Ω and a current of 4A. What is the voltage across the circuit? (2021)
A.
32V
B.
16V
C.
8V
D.
4V
Show solution
Solution
Using Ohm's law, V = I * R = 4A * 8Ω = 32V.
Correct Answer:
A
— 32V
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Q. A circuit has a total voltage of 24V and a total current of 4A. What is the total resistance in the circuit? (2021)
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Solution
Using Ohm's law, R = V/I = 24V / 4A = 6Ω.
Correct Answer:
B
— 8Ω
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Q. A circuit has a total voltage of 24V and a total resistance of 8Ω. What is the total current in the circuit? (2020)
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Solution
Using Ohm's law, I = V/R = 24V / 8Ω = 3A.
Correct Answer:
A
— 3A
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Q. A circular loop of wire carries a current. What is the shape of the magnetic field lines around the loop? (2021)
A.
Straight lines
B.
Concentric circles
C.
Ellipses
D.
Spirals
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Solution
The magnetic field lines around a circular loop of wire carrying current are in the form of concentric circles.
Correct Answer:
B
— Concentric circles
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Q. A circular loop of wire carrying current produces a magnetic field. What is the shape of the magnetic field lines inside the loop? (2020)
A.
Straight lines
B.
Concentric circles
C.
Parallel lines
D.
Uniform field
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Solution
Inside the loop, the magnetic field lines are nearly uniform and parallel, indicating a strong and consistent magnetic field.
Correct Answer:
D
— Uniform field
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Q. A circular loop of wire carrying current produces a magnetic field. What is the shape of the magnetic field lines? (2020)
A.
Straight lines
B.
Concentric circles
C.
Ellipses
D.
Spirals
Show solution
Solution
The magnetic field lines around a circular loop of wire are concentric circles centered on the axis of the loop.
Correct Answer:
B
— Concentric circles
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