Undergraduate Exam Prep Resources for Competitive Exams

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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!

Engineering Entrance Medical Entrance

Q. A box contains 4 white and 6 black balls. What is the probability of drawing a black ball? (2023)

A. 2/5
B. 3/5
C. 4/5
D. 1/5

Solution

Total balls = 4 + 6 = 10. Probability of black ball = 6/10 = 3/5.

Correct Answer: B — 3/5

Q. A box contains 4 white and 6 black balls. What is the probability of picking a black ball?

A. 2/5
B. 3/5
C. 4/5
D. 1/5

Solution

Total balls = 4 + 6 = 10. Probability of black ball = 6/10 = 3/5.

Correct Answer: B — 3/5

Q. A box contains 5 white and 3 black balls. What is the probability of drawing a black ball?

A. 3/8
B. 5/8
C. 1/2
D. 1/3

Solution

Total balls = 5 + 3 = 8. Probability of black ball = 3/8.

Correct Answer: A — 3/8

Q. A box contains 5 white and 3 black balls. What is the probability of picking a black ball? (2021)

A. 3/8
B. 5/8
C. 1/2
D. 1/3

Solution

Total balls = 5 + 3 = 8. Probability of black ball = 3/8.

Correct Answer: A — 3/8

Q. A capacitor is charged to a potential difference of 10V. If the charge on the capacitor is 5μC, what is its capacitance? (2020)

A. 0.5μF
B. 1μF
C. 2μF
D. 5μF

Solution

Capacitance (C) is given by C = Q/V. Here, C = 5μC / 10V = 0.5μF.

Correct Answer: A — 0.5μF

Q. A capacitor is charged to a potential difference of 12V. If it is disconnected from the battery and the plates are moved apart, what happens to the potential difference? (2021)

A. Increases
B. Decreases
C. Remains the same
D. Becomes zero

Solution

When the plates of a disconnected capacitor are moved apart, the capacitance decreases, leading to an increase in potential difference.

Correct Answer: A — Increases

Q. A capacitor is charged to a potential difference of 12V. If the charge on the capacitor is 24μC, what is its capacitance? (2019)

A. 2μF
B. 4μF
C. 6μF
D. 8μF

Solution

Capacitance C is given by C = Q/V. Here, C = 24μC / 12V = 2μF.

Correct Answer: B — 4μF

Q. A capacitor is charged to a potential difference of V. If the charge on the capacitor is Q, what is the capacitance? (2023)

A. Q/V
B. V/Q
C. QV
D. V^2/Q

Solution

The capacitance C is defined as C = Q/V.

Correct Answer: A — Q/V

Q. A capacitor is charged to a potential of 12 V. If the capacitance is 4 µF, what is the charge stored in the capacitor? (2019)

A. 12 µC
B. 48 µC
C. 24 µC
D. 36 µC

Solution

Charge (Q) = Capacitance (C) × Voltage (V) = 4 µF × 12 V = 48 µC.

Correct Answer: B — 48 µC

Q. A capacitor is charged to a potential of 12 V. If the charge on the capacitor is 6 µC, what is its capacitance? (2022)

A. 0.5 µF
B. 1 µF
C. 2 µF
D. 3 µF

Solution

Capacitance (C) = Charge (Q) / Voltage (V) = 6 µC / 12 V = 0.5 µF.

Correct Answer: B — 1 µF

Q. A capacitor is charged to a potential of 12V and then disconnected from the battery. If the plate area is doubled, what will be the new potential difference? (2022)

A. 6V
B. 12V
C. 24V
D. It cannot be determined

Solution

Once disconnected, the charge remains constant. Doubling the area increases capacitance but does not change the potential difference since the charge is fixed.

Correct Answer: B — 12V

Q. A capacitor is charged to a potential of 12V and then disconnected from the battery. If the distance between the plates is doubled, what is the new potential difference? (2022)

A. 6V
B. 12V
C. 24V
D. 0V

Solution

When the distance is doubled, the potential difference across the capacitor also doubles, resulting in 24V.

Correct Answer: C — 24V

Q. A capacitor is charged to a voltage of 12V and then disconnected from the battery. If the distance between the plates is doubled, what happens to the voltage across the capacitor? (2023)

A. It remains the same
B. It doubles
C. It halves
D. It becomes zero

Solution

When the distance between the plates is doubled, the capacitance decreases, which causes the voltage to double since Q remains constant.

Correct Answer: B — It doubles

Q. A capacitor of 10μF is connected to an AC source of frequency 50Hz. What is the capacitive reactance? (2022)

A. 318.3Ω
B. 159.15Ω
C. 31.83Ω
D. 6.36Ω

Solution

Capacitive reactance XC = 1/(2πfC) = 1/(2π*50*10e-6) ≈ 318.3Ω.

Correct Answer: B — 159.15Ω

Q. A capacitor of 10μF is connected to an AC source of frequency 60Hz. What is the capacitive reactance? (2020)

A. 26.3Ω
B. 16.7Ω
C. 10.5Ω
D. 5.3Ω

Solution

Capacitive reactance Xc = 1/(ωC) where ω = 2πf. Calculate Xc.

Correct Answer: A — 26.3Ω

Q. A capacitor of capacitance C is charged to a voltage V. If the charge is then removed, what is the potential difference across the capacitor? (2023)

A. 0
B. V
C. C
D. CV

Solution

If the charge is removed, the potential difference across the capacitor becomes 0 volts.

Correct Answer: A — 0

Q. A capacitor of capacitance C is charged to a voltage V. What is the charge stored in the capacitor? (2023)

A. C/V
B. CV
C. V/C
D. C^2V

Solution

The charge Q stored in a capacitor is given by Q = CV.

Correct Answer: B — CV

Q. A capacitor of capacitance C is connected to an AC source of frequency f. What is the capacitive reactance? (2020)

A. 1/(2πfC)
B. 2πfC
C. C/(2πf)
D. 2πf

Solution

The capacitive reactance is given by XC = 1/(2πfC).

Correct Answer: A — 1/(2πfC)

Q. A car accelerates from rest at a constant rate of 2 m/s². How far does it travel in 5 seconds? (2021)

A. 10 m
B. 20 m
C. 25 m
D. 50 m

Solution

Using the equation of motion: s = ut + (1/2)at². Here, u = 0, a = 2 m/s², t = 5 s. So, s = 0 + (1/2)(2)(5²) = 25 m.

Correct Answer: C — 25 m

Q. A car accelerates from rest at a rate of 2 m/s². What is its speed after 5 seconds? (2023)

A. 5 m/s
B. 10 m/s
C. 15 m/s
D. 20 m/s

Solution

Using the formula v = u + at, where u = 0, a = 2 m/s², and t = 5 s, we get v = 0 + 2 * 5 = 10 m/s.

Correct Answer: B — 10 m/s

Q. A car accelerates from rest to a speed of 20 m/s in 5 seconds. What is its acceleration?

A. 2 m/s²
B. 4 m/s²
C. 5 m/s²
D. 10 m/s²

Solution

Acceleration is calculated using the formula a = (final velocity - initial velocity) / time. Here, a = (20 m/s - 0 m/s) / 5 s = 4 m/s².

Correct Answer: B — 4 m/s²

Q. A car accelerates from rest to a speed of 20 m/s. If its mass is 1000 kg, what is the work done on the car? (2022)

A. 200,000 J
B. 100,000 J
C. 50,000 J
D. 400,000 J

Solution

Work Done = Change in Kinetic Energy = 1/2 * m * (v^2 - u^2) = 1/2 * 1000 kg * (20 m/s)^2 = 200,000 J

Correct Answer: A — 200,000 J

Q. A car accelerates from rest to a speed of 20 m/s. If its mass is 1000 kg, what is the kinetic energy of the car at this speed? (2000)

A. 200 J
B. 1000 J
C. 2000 J
D. 4000 J

Solution

Kinetic Energy (KE) = 0.5 × m × v² = 0.5 × 1000 kg × (20 m/s)² = 0.5 × 1000 × 400 = 200000 J.

Correct Answer: C — 2000 J

Q. A car accelerates from rest to a speed of 20 m/s. If its mass is 1000 kg, what is the kinetic energy of the car at that speed?

A. 200,000 J
B. 100,000 J
C. 50,000 J
D. 400,000 J

Solution

Kinetic Energy (KE) = 0.5 × m × v² = 0.5 × 1000 kg × (20 m/s)² = 0.5 × 1000 × 400 = 200,000 J.

Correct Answer: B — 100,000 J

Q. A car accelerates from rest to a speed of 20 m/s. If the mass of the car is 1000 kg, what is the kinetic energy of the car at that speed? (2000)

A. 200 J
B. 1000 J
C. 2000 J
D. 4000 J

Solution

Kinetic Energy (KE) = 0.5 × m × v² = 0.5 × 1000 kg × (20 m/s)² = 0.5 × 1000 × 400 = 200000 J.

Correct Answer: D — 4000 J

Q. A car accelerates from rest to a speed of 30 m/s in 10 seconds. What is the acceleration of the car? (2022)

A. 3 m/s²
B. 2 m/s²
C. 1 m/s²
D. 4 m/s²

Solution

Acceleration (a) = (final velocity - initial velocity) / time = (30 m/s - 0) / 10 s = 3 m/s².

Correct Answer: A — 3 m/s²

Q. A car does 5000 J of work in moving a distance of 100 m. What is the average force exerted by the car? (2023)

A. 50 N
B. 100 N
C. 150 N
D. 200 N

Solution

Average Force = Work done / Distance = 5000 J / 100 m = 50 N

Correct Answer: A — 50 N

Q. A car moving at 15 m/s comes to a stop in 5 seconds. What is its acceleration? (2019)

A. -2 m/s²
B. -3 m/s²
C. -4 m/s²
D. -5 m/s²

Solution

Using the formula: acceleration = (final velocity - initial velocity) / time. Acceleration = (0 - 15) / 5 = -3 m/s².

Correct Answer: A — -2 m/s²

Q. A car moving at 30 m/s applies brakes and comes to a stop in 6 seconds. What is the distance covered during braking? (2023)

A. 90 m
B. 120 m
C. 150 m
D. 180 m

Solution

Using the formula: distance = initial velocity * time + 0.5 * acceleration * time^2. Here, acceleration = (0 - 30) / 6 = -5 m/s². Distance = 30 * 6 + 0.5 * (-5) * 6^2 = 180 - 90 = 90 m.

Correct Answer: B — 120 m

Q. A car of mass 1000 kg accelerates from rest to a speed of 20 m/s. What is the kinetic energy gained?

A. 200,000 J
B. 100,000 J
C. 50,000 J
D. 20,000 J

Solution

Kinetic Energy = 0.5 * m * v² = 0.5 * 1000 kg * (20 m/s)² = 200,000 J.

Correct Answer: B — 100,000 J

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