Q. In an RLC circuit, if the resistance is 10Ω, the inductance is 0.1H, and the capacitance is 20μF, what is the total impedance at 50Hz? (2022)
A.
10Ω
B.
15.81Ω
C.
20Ω
D.
25Ω
Show solution
Solution
Calculate XL = 2πfL = 31.42Ω and XC = 1/(2πfC) = 159.15Ω. Z = √(R² + (XL - XC)²) = √(10² + (31.42 - 159.15)²) = 15.81Ω.
Correct Answer:
B
— 15.81Ω
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Q. In an RLC circuit, if the resistance is 6Ω, inductive reactance is 8Ω, and capacitive reactance is 4Ω, what is the total impedance? (2021)
A.
10Ω
B.
12Ω
C.
14Ω
D.
16Ω
Show solution
Solution
Total impedance Z = √(R² + (XL - XC)²) = √(6² + (8 - 4)²) = √(36 + 16) = √52 ≈ 10Ω.
Correct Answer:
B
— 12Ω
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Q. In an RLC circuit, if the resistance is increased while keeping the inductance and capacitance constant, what happens to the bandwidth?
A.
Increases
B.
Decreases
C.
Remains the same
D.
Becomes zero
Show solution
Solution
The bandwidth (Δf) of an RLC circuit is inversely proportional to the resistance (R). Increasing R decreases the bandwidth.
Correct Answer:
B
— Decreases
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Q. In an RLC circuit, if the resistance is increased, what happens to the quality factor (Q)? (2021)
A.
Increases
B.
Decreases
C.
Remains the same
D.
Becomes zero
Show solution
Solution
The quality factor Q is inversely proportional to resistance. Increasing resistance decreases Q.
Correct Answer:
B
— Decreases
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Q. In an RLC circuit, what does the term 'resonance' refer to? (2019)
A.
Maximum current at a specific frequency
B.
Minimum current at any frequency
C.
Constant voltage
D.
Zero inductance
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Solution
Resonance in an RLC circuit occurs when the inductive reactance equals the capacitive reactance, resulting in maximum current at a specific frequency.
Correct Answer:
A
— Maximum current at a specific frequency
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Q. In an RLC circuit, what happens to the impedance at resonance? (2023)
A.
Minimum
B.
Maximum
C.
Zero
D.
Infinite
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Solution
At resonance, the impedance in an RLC circuit is at a minimum.
Correct Answer:
A
— Minimum
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Q. In an RLC circuit, what happens to the impedance when the circuit is at resonance? (2023)
A.
Minimum
B.
Maximum
C.
Zero
D.
Infinite
Show solution
Solution
At resonance, the impedance of an RLC circuit is at its minimum.
Correct Answer:
A
— Minimum
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Q. In an RLC circuit, what is the condition for resonance?
A.
XL = XC
B.
R = 0
C.
L = C
D.
f = 0
Show solution
Solution
Resonance occurs when the inductive reactance (XL) equals the capacitive reactance (XC).
Correct Answer:
A
— XL = XC
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Q. In an RLC series circuit, if the inductive reactance is greater than the capacitive reactance, the circuit is said to be: (2022)
A.
Resonant
B.
Inductive
C.
Capacitive
D.
Purely resistive
Show solution
Solution
If the inductive reactance (XL) is greater than the capacitive reactance (XC), the circuit is inductive.
Correct Answer:
B
— Inductive
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Q. In an RLC series circuit, if the resistance is 10 Ω, inductance is 0.1 H, and capacitance is 100 μF, what is the resonant frequency? (2023)
A.
50 Hz
B.
100 Hz
C.
159 Hz
D.
200 Hz
Show solution
Solution
The resonant frequency f0 = 1/(2π√(LC)) = 1/(2π√(0.1 * 100e-6)) = 159 Hz.
Correct Answer:
C
— 159 Hz
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Q. In an RLC series circuit, if the resistance is 10 Ω, the inductance is 0.1 H, and the capacitance is 100 μF, what is the resonant frequency? (2023)
A.
50 Hz
B.
100 Hz
C.
159 Hz
D.
200 Hz
Show solution
Solution
The resonant frequency f0 = 1/(2π√(LC)) = 1/(2π√(0.1 * 100e-6)) = 159 Hz.
Correct Answer:
C
— 159 Hz
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Q. In an RLC series circuit, if the resistance is 10Ω, the inductance is 0.1H, and the capacitance is 100μF, what is the resonant frequency? (2020)
A.
50 Hz
B.
100 Hz
C.
159 Hz
D.
200 Hz
Show solution
Solution
Using f = 1/(2π√(LC)), we find f = 1/(2π√(0.1 * 100e-6)) ≈ 159 Hz.
Correct Answer:
C
— 159 Hz
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Q. In an RLC series circuit, if the resistance is increased while keeping the inductance and capacitance constant, what happens to the quality factor (Q)?
A.
Increases
B.
Decreases
C.
Remains the same
D.
Becomes zero
Show solution
Solution
The quality factor (Q) is given by Q = (1/R)√(L/C). Increasing R decreases Q.
Correct Answer:
B
— Decreases
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Q. In an RLC series circuit, if the total impedance is 20Ω and the resistance is 15Ω, what is the inductive reactance? (2022)
A.
5Ω
B.
10Ω
C.
15Ω
D.
20Ω
Show solution
Solution
Using Z = √(R² + (XL)²), solve for XL.
Correct Answer:
A
— 5Ω
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Q. In an RLC series circuit, if the total impedance is 20Ω and the resistance is 15Ω, what is the reactance? (2022)
A.
5Ω
B.
10Ω
C.
15Ω
D.
20Ω
Show solution
Solution
Using Z = √(R² + X²), we find X = √(Z² - R²). Here, Z = 20Ω, R = 15Ω.
Correct Answer:
A
— 5Ω
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Q. In an RLC series circuit, if the total impedance is 50 ohms and the resistance is 30 ohms, what is the reactance? (2020)
A.
40 ohms
B.
30 ohms
C.
20 ohms
D.
10 ohms
Show solution
Solution
Using Z = √(R² + X²), we find X = √(Z² - R²) = √(50² - 30²) = √(2500 - 900) = √1600 = 40 ohms.
Correct Answer:
A
— 40 ohms
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Q. In an RLC series circuit, what happens to the impedance at resonance? (2020)
A.
It is minimum
B.
It is maximum
C.
It is zero
D.
It is equal to resistance
Show solution
Solution
At resonance in an RLC series circuit, the impedance is equal to the resistance.
Correct Answer:
D
— It is equal to resistance
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Q. In an RLC series circuit, what is the condition for resonance?
A.
XL = XC
B.
R = 0
C.
XL > XC
D.
R > XL
Show solution
Solution
Resonance in an RLC series circuit occurs when the inductive reactance (X_L) equals the capacitive reactance (X_C), i.e., X_L = X_C.
Correct Answer:
A
— XL = XC
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Q. In analyzing the mixed graph, which factor is most likely to affect the interpretation of the data? (2023)
A.
The sample size used in the study.
B.
The color scheme of the graph.
C.
The time period over which data was collected.
D.
The type of graph used.
Show solution
Solution
A larger sample size generally provides more reliable data, affecting interpretation.
Correct Answer:
A
— The sample size used in the study.
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Q. In analyzing the mixed graph, which of the following terms best describes the relationship between the two datasets? (2023)
A.
Causation
B.
Correlation
C.
Contradiction
D.
Comparison
Show solution
Solution
The graph indicates a correlation between the two datasets rather than causation.
Correct Answer:
B
— Correlation
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Q. In analyzing the mixed graph, which of the following vocabulary terms best describes the overall trend?
A.
Diminishing
B.
Exponential
C.
Cyclical
D.
Linear
Show solution
Solution
If the graph shows rapid increases, 'exponential' is the most appropriate term to describe the trend.
Correct Answer:
B
— Exponential
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Q. In analyzing the mixed graph, which statement is most accurate regarding the x-axis variable? (2023)
A.
It is the dependent variable.
B.
It shows a time progression.
C.
It is irrelevant to the analysis.
D.
It is the independent variable.
Show solution
Solution
Typically, the x-axis represents the independent variable in a graph.
Correct Answer:
D
— It is the independent variable.
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Q. In angiosperms, the ovary develops into which of the following structures? (2023)
A.
Seed
B.
Fruit
C.
Flower
D.
Leaf
Show solution
Solution
In angiosperms, the ovary develops into a fruit, which contains the seeds.
Correct Answer:
B
— Fruit
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Q. In beta decay, which particle is emitted from the nucleus?
A.
Alpha particle
B.
Beta particle
C.
Gamma ray
D.
Neutron
Show solution
Solution
In beta decay, a beta particle (which is an electron or positron) is emitted from the nucleus.
Correct Answer:
B
— Beta particle
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Q. In binary, what is the decimal number 10?
A.
1010
B.
1001
C.
1100
D.
1110
Show solution
Solution
The decimal number 10 is represented as 1010 in binary.
Correct Answer:
A
— 1010
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Q. In Biot-Savart Law, what does the term 'dL' represent?
A.
Element of current
B.
Element of length
C.
Element of magnetic field
D.
Element of charge
Show solution
Solution
In Biot-Savart Law, 'dL' represents an infinitesimal element of length along the current-carrying conductor.
Correct Answer:
B
— Element of length
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Q. In constraint-based distribution, what is meant by 'degrees of freedom'? (2019)
A.
The number of independent movements allowed
B.
The total energy in the system
C.
The mass of the objects involved
D.
The speed of the system
Show solution
Solution
Degrees of freedom refer to the number of independent movements or parameters that can vary in a system.
Correct Answer:
A
— The number of independent movements allowed
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Q. In converting the decimal number 255 to hexadecimal, what is the result?
Show solution
Solution
The decimal number 255 is represented as FF in hexadecimal.
Correct Answer:
A
— FF
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Q. In converting the hexadecimal number 'A3' to decimal, what is the resulting value?
A.
163
B.
1632
C.
123
D.
103
Show solution
Solution
The hexadecimal number 'A3' converts to decimal as follows: A (10)*16^1 + 3*16^0 = 160 + 3 = 163.
Correct Answer:
A
— 163
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Q. In converting the hexadecimal number 1A to decimal, what is the result?
Show solution
Solution
The hexadecimal number 1A converts to decimal as 1*16^1 + 10*16^0 = 26.
Correct Answer:
A
— 26
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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!
