Q. In an isothermal process, the temperature of an ideal gas remains constant. If the volume of the gas is doubled, what happens to the pressure? (2020)
A.
It doubles
B.
It halves
C.
It remains constant
D.
It quadruples
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Solution
According to Boyle's Law, P1V1 = P2V2. If V2 = 2V1, then P2 = P1/2.
Correct Answer:
B
— It halves
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Q. In an isothermal process, the temperature of the gas remains constant. What can be said about the internal energy of an ideal gas? (2020) 2020
A.
It increases
B.
It decreases
C.
It remains constant
D.
It varies with pressure
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Solution
For an ideal gas, the internal energy depends only on temperature. Since the temperature remains constant in an isothermal process, the internal energy also remains constant.
Correct Answer:
C
— It remains constant
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Q. In an isothermal process, the temperature of the system remains constant. What is the work done by the gas during expansion?
A.
Zero
B.
nRT ln(Vf/Vi)
C.
nRT (Vf - Vi)
D.
nR (Tf - Ti)
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Solution
In an isothermal process, the work done by the gas is given by W = nRT ln(Vf/Vi).
Correct Answer:
B
— nRT ln(Vf/Vi)
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Q. In an isothermal process, the temperature of the system remains constant. What is the work done by the gas?
A.
Zero
B.
nRT ln(Vf/Vi)
C.
nRT
D.
nR(Tf - Ti)
Show solution
Solution
In an isothermal process, the work done by the gas is given by W = nRT ln(Vf/Vi).
Correct Answer:
B
— nRT ln(Vf/Vi)
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Q. In an isothermal process, the temperature of the system remains: (2023)
A.
Constant
B.
Increases
C.
Decreases
D.
Varies
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Solution
In an isothermal process, the temperature of the system remains constant.
Correct Answer:
A
— Constant
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Q. In an isothermal process, the temperature of the system:
A.
Increases
B.
Decreases
C.
Remains constant
D.
Varies linearly
Show solution
Solution
In an isothermal process, the temperature of the system remains constant.
Correct Answer:
C
— Remains constant
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Q. In an isothermal process, which of the following remains constant?
A.
Pressure
B.
Volume
C.
Temperature
D.
Number of moles
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Solution
In an isothermal process, the temperature remains constant.
Correct Answer:
C
— Temperature
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Q. In an RL circuit, what is the time constant τ defined as?
A.
L/R
B.
R/L
C.
LR
D.
1/(LR)
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Solution
The time constant τ in an RL circuit is defined as τ = L/R, where L is the inductance and R is the resistance.
Correct Answer:
A
— L/R
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Q. In an RL circuit, what is the time constant τ?
A.
L/R
B.
R/L
C.
LR
D.
1/(LR)
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Solution
The time constant τ for an RL circuit is given by τ = L/R, where L is the inductance and R is the resistance.
Correct Answer:
A
— L/R
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Q. In an RLC circuit, if the inductive reactance is 10Ω and capacitive reactance is 5Ω, what is the net reactance? (2020)
A.
5Ω
B.
10Ω
C.
15Ω
D.
0Ω
Show solution
Solution
Net reactance = XL - XC = 10Ω - 5Ω = 5Ω.
Correct Answer:
A
— 5Ω
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Q. In an RLC circuit, if the inductive reactance is 30Ω and capacitive reactance is 20Ω, what is the net reactance? (2020)
A.
10Ω
B.
50Ω
C.
30Ω
D.
20Ω
Show solution
Solution
Net reactance X = XL - XC = 30Ω - 20Ω = 10Ω.
Correct Answer:
A
— 10Ω
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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
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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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