Major Competitive Exams

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Major Competitive Exams

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Major Competitive Exams MCQ & Objective Questions

Major Competitive Exams play a crucial role in shaping the academic and professional futures of students in India. These exams not only assess knowledge but also test problem-solving skills and time management. Practicing MCQs and objective questions is essential for scoring better, as they help in familiarizing students with the exam format and identifying important questions that frequently appear in tests.

What You Will Practise Here

Key concepts and theories related to major subjects
Important formulas and their applications
Definitions of critical terms and terminologies
Diagrams and illustrations to enhance understanding
Practice questions that mirror actual exam patterns
Strategies for solving objective questions efficiently
Time management techniques for competitive exams

Exam Relevance

The topics covered under Major Competitive Exams are integral to various examinations such as CBSE, State Boards, NEET, and JEE. Students can expect to encounter a mix of conceptual and application-based questions that require a solid understanding of the subjects. Common question patterns include multiple-choice questions that test both knowledge and analytical skills, making it essential to be well-prepared with practice MCQs.

Common Mistakes Students Make

Rushing through questions without reading them carefully
Overlooking the negative marking scheme in MCQs
Confusing similar concepts or terms
Neglecting to review previous years’ question papers
Failing to manage time effectively during the exam

FAQs

Question: How can I improve my performance in Major Competitive Exams?
Answer: Regular practice of MCQs and understanding key concepts will significantly enhance your performance.

Question: What types of questions should I focus on for these exams?
Answer: Concentrate on important Major Competitive Exams questions that frequently appear in past papers and mock tests.

Question: Are there specific strategies for tackling objective questions?
Answer: Yes, practicing under timed conditions and reviewing mistakes can help develop effective strategies.

Start your journey towards success by solving practice MCQs today! Test your understanding and build confidence for your upcoming exams. Remember, consistent practice is the key to mastering Major Competitive Exams!

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Q. What is the potential energy of a mass in simple harmonic motion at maximum displacement? (2023)

A. Zero
B. Maximum
C. Minimum
D. Depends on mass

Solution

At maximum displacement, potential energy is maximum and kinetic energy is zero.

Correct Answer: B — Maximum

Q. What is the potential energy of a mass of 5 kg at a height of 10 m in a gravitational field (g = 9.8 m/s²)?

A. 490 J
B. 980 J
C. 245 J
D. 50 J

Solution

Potential energy PE = mgh = 5 kg × 9.8 m/s² × 10 m = 490 J.

Correct Answer: B — 980 J

Q. What is the potential energy of a system of two charges +3 μC and +4 μC separated by 0.2 m? (2023)

A. -54 J
B. 54 J
C. 0 J
D. 27 J

Solution

Potential energy U = k * q1 * q2 / r = (9 × 10^9 N m²/C²) * (3 × 10^-6 C) * (4 × 10^-6 C) / 0.2 m = 54 J.

Correct Answer: B — 54 J

Q. What is the potential energy of a system of two charges +3 µC and +4 µC separated by 0.3 m? (2023)

A. -0.12 J
B. 0.12 J
C. 0.36 J
D. 0.24 J

Solution

Potential energy U = k * q1 * q2 / r = (9 × 10^9 N m²/C²) * (3 × 10^-6 C) * (4 × 10^-6 C) / 0.3 m = 0.36 J.

Correct Answer: C — 0.36 J

Q. What is the potential energy of a system of two charges +3μC and +4μC separated by 0.2m?

A. 0.54 J
B. 0.72 J
C. 0.36 J
D. 0.18 J

Solution

U = k * (q1 * q2) / r = (9 × 10^9) * (3 × 10^-6 * 4 × 10^-6) / 0.2 = 0.54 J.

Correct Answer: B — 0.72 J

Q. What is the potential energy of a system of two charges +3μC and +5μC separated by 0.2m?

A. -6.75 J
B. 6.75 J
C. 0.75 J
D. -0.75 J

Solution

Potential energy U = k * (q1 * q2) / r = (9 × 10^9) * (3 × 10^-6) * (5 × 10^-6) / 0.2 = 6.75 J.

Correct Answer: B — 6.75 J

Q. What is the potential energy of a system of two charges +3μC and -5μC separated by 0.3m?

A. -0.45 J
B. 0.45 J
C. -0.15 J
D. 0.15 J

Solution

Potential energy U = k * q1 * q2 / r = (9 × 10^9) * (3 × 10^-6) * (-5 × 10^-6) / 0.3 = -0.45 J.

Correct Answer: A — -0.45 J

Q. What is the potential energy of a system of two charges +5μC and +10μC separated by 0.2m?

A. -0.225 J
B. 0.225 J
C. 0.45 J
D. 0.9 J

Solution

Potential energy U = k * (q1 * q2) / r = (9 × 10^9) * (5 × 10^-6) * (10 × 10^-6) / 0.2 = 0.225 J.

Correct Answer: B — 0.225 J

Q. What is the potential energy of a system of two charges +q and +q separated by a distance r?

A. 0
B. k*q²/r
C. -k*q²/r
D. 2k*q²/r

Solution

Potential energy U = k * (q1 * q2) / r = k * (q * q) / r = k*q²/r.

Correct Answer: B — k*q²/r

Q. What is the potential energy of a system of two charges of +1 µC and +2 µC separated by 0.1 m?

A. 180 J
B. 90 J
C. 45 J
D. 36 J

Solution

U = k * (q1 * q2) / r = (9 × 10^9) * (1 × 10^-6 * 2 × 10^-6) / 0.1 = 36 J.

Correct Answer: D — 36 J

Q. What is the potential energy of a system of two charges of +1μC and -1μC separated by 0.1m?

A. -0.09 J
B. 0.09 J
C. -0.18 J
D. 0.18 J

Solution

Potential energy U = k * q1 * q2 / r = (9 × 10^9) * (1 × 10^-6) * (-1 × 10^-6) / 0.1 = -0.09 J.

Correct Answer: A — -0.09 J

Q. What is the potential energy of a system of two point charges +q and -q separated by a distance r?

A. 0
B. kq²/r
C. -kq²/r
D. kq/r

Solution

The potential energy U of a system of two point charges is given by U = k(q1q2)/r = -kq²/r for +q and -q.

Correct Answer: C — -kq²/r

Q. What is the potential energy of a system of two point charges q1 and q2 separated by a distance r?

A. k * q1 * q2 / r
B. k * q1 * q2 * r
C. k * (q1 + q2) / r
D. k * (q1 - q2) / r

Solution

The potential energy U of a system of two point charges is given by U = k * q1 * q2 / r.

Correct Answer: A — k * q1 * q2 / r

Q. What is the potential energy of an object of mass 2 kg at a height of 10 m? (g = 9.8 m/s²) (2022)

A. 196 J
B. 98 J
C. 20 J
D. 10 J

Solution

Potential energy (PE) is calculated using the formula PE = mgh. Here, PE = 2 kg × 9.8 m/s² × 10 m = 196 J.

Correct Answer: A — 196 J

Q. What is the potential energy of an object of mass 2 kg at a height of 5 m? (g = 10 m/s²) (2018)

A. 100 J
B. 50 J
C. 20 J
D. 10 J

Solution

Potential Energy (PE) = mgh = 2 kg × 10 m/s² × 5 m = 100 J.

Correct Answer: A — 100 J

Q. What is the potential energy of an object of mass 2 kg at a height of 5 m? (g = 9.8 m/s²) (2019)

A. 98 J
B. 100 J
C. 90 J
D. 80 J

Solution

Potential Energy (PE) = mgh = 2 kg × 9.8 m/s² × 5 m = 98 J.

Correct Answer: A — 98 J

Q. What is the potential energy of two charges +3 μC and +4 μC separated by 0.2 m? (2023)

A. -54 J
B. 54 J
C. 0.54 J
D. 5.4 J

Solution

Potential energy U = k * q1 * q2 / r = (9 × 10^9 N m²/C²) * (3 × 10^-6 C) * (4 × 10^-6 C) / 0.2 m = 54 J.

Correct Answer: B — 54 J

Q. What is the potential energy stored in a capacitor of capacitance C charged to a voltage V? (2021)

A. CV
B. 1/2 CV^2
C. 1/2 QV
D. QV

Solution

The potential energy (U) stored in a capacitor is given by U = 1/2 CV^2.

Correct Answer: B — 1/2 CV^2

Q. What is the potential energy stored in a capacitor? (2022)

A. 1/2 CV²
B. CV
C. 1/2 QV
D. QV

Solution

The potential energy (U) stored in a capacitor is given by the formula U = 1/2 CV², where C is the capacitance and V is the voltage across the capacitor.

Correct Answer: A — 1/2 CV²

Q. What is the potential energy stored in a spring when it is compressed by a distance x?

A. 1/2 kx
B. 1/2 kx²
C. kx
D. kx²

Solution

The potential energy (PE) stored in a spring is given by PE = 1/2 kx², where k is the spring constant and x is the displacement.

Correct Answer: B — 1/2 kx²

Q. What is the power consumed by a 10 ohm resistor when a current of 2 A flows through it?

A. 20 W
B. 40 W
C. 10 W
D. 5 W

Solution

Power P = I^2 * R = (2 A)^2 * 10Ω = 4 * 10 = 40 W.

Correct Answer: B — 40 W

Q. What is the power consumed by a 10 ohm resistor when a current of 3 A flows through it?

A. 30 W
B. 90 W
C. 60 W
D. 15 W

Solution

Power P = I^2 * R = (3 A)^2 * 10 ohms = 9 * 10 = 90 W.

Correct Answer: B — 90 W

Q. What is the power consumed by a 100Ω resistor when a current of 0.5A flows through it? (2020)

A. 25W
B. 50W
C. 100W
D. 12.5W

Solution

Power (P) is given by P = I^2R = (0.5A)^2 * 100Ω = 0.25 * 100 = 25W.

Correct Answer: A — 25W

Q. What is the power consumed by a 10Ω resistor when a current of 2A flows through it?

A. 20W
B. 40W
C. 10W
D. 5W

Solution

Power P = I^2 * R = (2A)^2 * 10Ω = 4A^2 * 10Ω = 40W.

Correct Answer: A — 20W

Q. What is the power consumed by a 10Ω resistor when a current of 3A flows through it? (2021)

A. 90W
B. 30W
C. 60W
D. 45W

Solution

Power P = I^2 * R = (3A)^2 * 10Ω = 9 * 10 = 90W.

Correct Answer: A — 90W

Q. What is the power consumed by a 12 V battery supplying a current of 2 A?

A. 24 W
B. 12 W
C. 6 W
D. 48 W

Solution

Power is given by P = V * I = 12 V * 2 A = 24 W.

Correct Answer: A — 24 W

Q. What is the power consumed by a 5 ohm resistor carrying a current of 3 A?

A. 15 W
B. 9 W
C. 5 W
D. 3 W

Solution

Power P = I^2 * R = (3 A)^2 * 5 ohms = 9 * 5 = 45 W.

Correct Answer: A — 15 W

Q. What is the power consumed by a 5 ohm resistor when a current of 2A flows through it?

A. 10W
B. 20W
C. 5W
D. 15W

Solution

Power P = I^2 * R = (2A)^2 * 5 ohms = 4 * 5 = 20W.

Correct Answer: B — 20W

Q. What is the power consumed by a 5 ohm resistor when a current of 3 A flows through it?

A. 15 W
B. 9 W
C. 5 W
D. 3 W

Solution

Power P = I^2 * R = (3 A)^2 * 5 ohms = 9 * 5 = 45 W.

Correct Answer: A — 15 W

Q. What is the power consumed by a 6Ω resistor when a current of 2A flows through it? (2023)

A. 12W
B. 24W
C. 6W
D. 8W

Solution

Power (P) is given by P = I²R = (2A)² * 6Ω = 4 * 6 = 24W.

Correct Answer: A — 12W

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