Q. In an AC circuit, if the voltage is 120 V and the current is 10 A, what is the apparent power? (2022)
A.
120 W
B.
1200 W
C.
1000 VA
D.
100 VA
Show solution
Solution
Apparent power S = V * I = 120 V * 10 A = 1200 VA.
Correct Answer:
C
— 1000 VA
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Q. In an AC circuit, if the voltage is 120 V and the current is 10 A, what is the power factor if the real power is 600 W? (2021)
A.
0.5
B.
0.6
C.
0.8
D.
1.0
Show solution
Solution
Power factor = Real Power / (Voltage × Current) = 600 / (120 × 10) = 0.5.
Correct Answer:
C
— 0.8
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Q. In an AC circuit, if the voltage is 120V and the current is 10A with a power factor of 0.8, what is the real power consumed? (2021)
A.
120W
B.
800W
C.
960W
D.
1000W
Show solution
Solution
Real power P = V * I * power factor = 120V * 10A * 0.8 = 960W.
Correct Answer:
C
— 960W
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Q. In an AC circuit, if the voltage is 120V and the current is 10A, what is the power factor if the real power is 600W? (2022)
A.
0.5
B.
0.6
C.
0.8
D.
1.0
Show solution
Solution
Power factor = Real Power / (Voltage x Current) = 600 / (120 x 10) = 600 / 1200 = 0.5.
Correct Answer:
B
— 0.6
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Q. In an AC circuit, if the voltage is given by V(t) = 100 sin(100t), what is the RMS voltage? (2023)
A.
100 V
B.
70.7 V
C.
50 V
D.
141.4 V
Show solution
Solution
The RMS voltage is V_rms = V0/√2 = 100/√2 = 70.7 V.
Correct Answer:
B
— 70.7 V
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Q. In an AC circuit, if the voltage is given by V(t) = 100√2 sin(1000t), what is the peak voltage? (2023)
A.
100 V
B.
100√2 V
C.
200 V
D.
50 V
Show solution
Solution
The peak voltage is given by the coefficient of sin, which is 100√2.
Correct Answer:
B
— 100√2 V
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Q. In an AC circuit, if the voltage is given by V(t) = V0 sin(ωt), what is the expression for the current if the circuit is purely inductive? (2023)
A.
I(t) = I0 sin(ωt)
B.
I(t) = I0 sin(ωt - π/2)
C.
I(t) = I0 cos(ωt)
D.
I(t) = I0 cos(ωt + π/2)
Show solution
Solution
In a purely inductive circuit, the current lags the voltage by 90 degrees (π/2 radians). Therefore, I(t) = I0 sin(ωt - π/2).
Correct Answer:
B
— I(t) = I0 sin(ωt - π/2)
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Q. In an AC circuit, if the voltage is given by V(t) = V_0 sin(ωt), what is the expression for the current through a resistor R?
A.
I(t) = (V_0/R) sin(ωt)
B.
I(t) = (V_0/R) cos(ωt)
C.
I(t) = (R/V_0) sin(ωt)
D.
I(t) = (R/V_0) cos(ωt)
Show solution
Solution
For a resistor, the current is in phase with the voltage. Therefore, I(t) = V(t)/R = (V_0/R) sin(ωt).
Correct Answer:
A
— I(t) = (V_0/R) sin(ωt)
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Q. In an AC circuit, if the voltage is given by V(t) = V_0 sin(ωt), what is the expression for the current if the circuit is purely inductive? (2023)
A.
I(t) = I_0 sin(ωt)
B.
I(t) = I_0 sin(ωt - π/2)
C.
I(t) = I_0 cos(ωt)
D.
I(t) = I_0 cos(ωt + π/2)
Show solution
Solution
In a purely inductive circuit, the current lags the voltage by 90 degrees (or π/2 radians). Therefore, I(t) = I_0 sin(ωt - π/2).
Correct Answer:
B
— I(t) = I_0 sin(ωt - π/2)
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Q. In an AC circuit, if the voltage is given by V(t) = V₀ sin(ωt), what is the expression for the current through a capacitor? (2022)
A.
I(t) = C dV/dt
B.
I(t) = V₀ sin(ωt)
C.
I(t) = V₀ cos(ωt)
D.
I(t) = V₀ sin(ωt)/R
Show solution
Solution
The current through a capacitor is given by I(t) = C dV/dt. For V(t) = V₀ sin(ωt), the current can be derived from this expression.
Correct Answer:
A
— I(t) = C dV/dt
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Q. In an AC circuit, if the voltage is V(t) = 120 sin(ωt), what is the RMS voltage? (2017)
A.
120 V
B.
60 V
C.
84.85 V
D.
100 V
Show solution
Solution
RMS voltage V_rms = V_peak / √2 = 120 / √2 = 84.85 V.
Correct Answer:
C
— 84.85 V
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Q. In an AC circuit, the average power consumed is given by which formula? (2022)
A.
P = VI
B.
P = VI cos(φ)
C.
P = V²/R
D.
P = I²R
Show solution
Solution
The average power (P) consumed in an AC circuit is given by P = VI cos(φ), where φ is the phase angle between voltage and current.
Correct Answer:
B
— P = VI cos(φ)
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Q. In an AC circuit, the current lags behind the voltage by 90 degrees in which component? (2020)
A.
Resistor
B.
Capacitor
C.
Inductor
D.
Transformer
Show solution
Solution
In an inductor, the current lags behind the voltage by 90 degrees.
Correct Answer:
C
— Inductor
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Q. In an AC circuit, the current lags behind the voltage by 90 degrees in which type of circuit? (2020)
A.
Resistive
B.
Inductive
C.
Capacitive
D.
RLC
Show solution
Solution
In an inductive circuit, the current lags behind the voltage by 90 degrees.
Correct Answer:
B
— Inductive
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Q. In an AC circuit, the current lags the voltage by 90 degrees in which of the following components? (2020)
A.
Resistor
B.
Capacitor
C.
Inductor
D.
Transformer
Show solution
Solution
In an inductor, the current lags the voltage by 90 degrees.
Correct Answer:
C
— Inductor
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Q. In an AC circuit, the current lags the voltage by 90 degrees in which type of circuit? (2020)
A.
Resistive
B.
Capacitive
C.
Inductive
D.
RLC
Show solution
Solution
In an inductive circuit, the current lags the voltage by 90 degrees.
Correct Answer:
C
— Inductive
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Q. In an AC circuit, the voltage is given by V(t) = V0 sin(ωt). What is the peak voltage? (2021)
Show solution
Solution
The peak voltage in the equation V(t) = V0 sin(ωt) is V0.
Correct Answer:
A
— V0
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Q. In an AC circuit, the voltage is given by V(t) = V0 sin(ωt). What is the peak voltage if V0 = 10V? (2021)
A.
5V
B.
10V
C.
15V
D.
20V
Show solution
Solution
The peak voltage V0 is given directly in the equation as 10V.
Correct Answer:
B
— 10V
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Q. In an AC circuit, what is the phase difference between voltage and current in a purely inductive circuit? (2021)
A.
0 degrees
B.
90 degrees
C.
180 degrees
D.
270 degrees
Show solution
Solution
In a purely inductive AC circuit, the current lags the voltage by 90 degrees.
Correct Answer:
B
— 90 degrees
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Q. In an AC circuit, what is the relationship between the average power and the RMS voltage? (2023)
A.
P = V_rms²/R
B.
P = V_peak²/R
C.
P = V_rms/R
D.
P = V_peak/R
Show solution
Solution
The average power (P) in an AC circuit is given by P = V_rms²/R, where R is the resistance.
Correct Answer:
A
— P = V_rms²/R
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Q. In an AC circuit, what is the unit of reactance? (2019)
A.
Ohm
B.
Farad
C.
Henry
D.
Volt
Show solution
Solution
Reactance is measured in Ohms, just like resistance.
Correct Answer:
A
— Ohm
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Q. In an AC generator, the induced EMF is maximum when the coil is positioned at what angle to the magnetic field?
A.
0 degrees
B.
45 degrees
C.
90 degrees
D.
180 degrees
Show solution
Solution
In an AC generator, the induced EMF is maximum when the coil is positioned at 90 degrees to the magnetic field, as this is when the rate of change of magnetic flux is greatest.
Correct Answer:
C
— 90 degrees
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Q. In an adiabatic process, the relationship between pressure and volume for an ideal gas is given by which equation? (2020)
A.
PV^n = constant
B.
PV = nRT
C.
P1V1 = P2V2
D.
V/T = constant
Show solution
Solution
In an adiabatic process, the relationship is given by PV^n = constant, where n is the heat capacity ratio.
Correct Answer:
A
— PV^n = constant
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Q. In an adiabatic process, the temperature of a gas decreases. What happens to its pressure? (2021)
A.
Increases
B.
Decreases
C.
Remains constant
D.
Depends on volume
Show solution
Solution
In an adiabatic process, as the temperature decreases, the pressure also decreases due to the ideal gas law.
Correct Answer:
B
— Decreases
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Q. In an adiabatic process, the temperature of an ideal gas decreases. What happens to its pressure?
A.
Increases
B.
Decreases
C.
Remains constant
D.
Depends on volume
Show solution
Solution
In an adiabatic process, as the temperature decreases, the pressure also decreases due to the ideal gas law.
Correct Answer:
B
— Decreases
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Q. In an adiabatic process, which of the following is true? (2020)
A.
Heat is absorbed from the surroundings
B.
Heat is released to the surroundings
C.
No heat is exchanged
D.
Temperature remains constant
Show solution
Solution
In an adiabatic process, there is no heat exchange with the surroundings, meaning no heat is absorbed or released.
Correct Answer:
C
— No heat is exchanged
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Q. In an adiabatic process, which of the following remains constant? (2020)
A.
Temperature
B.
Pressure
C.
Internal Energy
D.
Enthalpy
Show solution
Solution
In an adiabatic process, there is no heat exchange, so the internal energy remains constant for an ideal gas.
Correct Answer:
C
— Internal Energy
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Q. In an analogy, which of the following best represents resistance in an electrical circuit? (2022)
A.
A narrow pipe
B.
A wide pipe
C.
A water tank
D.
A water wheel
Show solution
Solution
Resistance in an electrical circuit is analogous to a narrow pipe that restricts the flow of water.
Correct Answer:
A
— A narrow pipe
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Q. In an arithmetic progression, if the 1st term is 4 and the 6th term is 24, what is the common difference?
Show solution
Solution
Let the common difference be d. From the equations 4 + 5d = 24, solving gives d = 4.
Correct Answer:
C
— 6
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Q. In an arithmetic progression, if the 1st term is x and the common difference is 2, what is the expression for the 6th term?
A.
x + 10
B.
x + 12
C.
x + 8
D.
x + 14
Show solution
Solution
The 6th term is given by a + 5d. Here, it is x + 5*2 = x + 10.
Correct Answer:
A
— x + 10
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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!
