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
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
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
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
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, what happens to the quality factor (Q)? (2021)
-
A.
Increases
-
B.
Decreases
-
C.
Remains the same
-
D.
Becomes zero
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 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
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
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
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
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 total impedance is 20Ω and the resistance is 15Ω, what is the inductive reactance? (2022)
-
A.
5Ω
-
B.
10Ω
-
C.
15Ω
-
D.
20Ω
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
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
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 the photoelectric effect, if the frequency of incident light is doubled, what happens to the kinetic energy of emitted electrons? (2020)
-
A.
It doubles
-
B.
It quadruples
-
C.
It remains the same
-
D.
It becomes zero
Solution
Kinetic energy (KE) = hf - φ. If frequency is doubled, KE increases by a factor of 4.
Correct Answer:
B
— It quadruples
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Q. In thin film interference, which of the following will cause a shift in the interference pattern? (2022)
-
A.
Change in wavelength
-
B.
Change in film thickness
-
C.
Change in angle of incidence
-
D.
All of the above
Solution
All these factors can affect the path difference and thus shift the interference pattern in thin film interference.
Correct Answer:
D
— All of the above
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Q. In which direction does the magnetic field line emerge from a bar magnet? (2022)
-
A.
From North to South
-
B.
From South to North
-
C.
In a circular path
-
D.
Randomly
Solution
Magnetic field lines emerge from the north pole and enter the south pole of a bar magnet.
Correct Answer:
A
— From North to South
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Q. The dimensional formula for energy is: (2020)
-
A.
[M^1 L^2 T^-2]
-
B.
[M^2 L^1 T^-2]
-
C.
[M^0 L^2 T^0]
-
D.
[M^1 L^0 T^-1]
Solution
Energy is defined as work done, which has the dimensional formula [M^1 L^2 T^-2].
Correct Answer:
A
— [M^1 L^2 T^-2]
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Q. The dimensional formula for frequency is: (2023)
-
A.
[T^-1]
-
B.
[M^0 L^0 T^-1]
-
C.
[M^1 L^1 T^-1]
-
D.
[M^0 L^1 T^0]
Solution
Frequency is defined as the number of cycles per unit time, hence its dimensional formula is [T^-1].
Correct Answer:
A
— [T^-1]
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Q. The dimensional formula for velocity is: (2022)
-
A.
[M^0 L^1 T^-1]
-
B.
[M^1 L^1 T^0]
-
C.
[M^1 L^0 T^-1]
-
D.
[M^0 L^0 T^1]
Solution
Velocity is defined as displacement per unit time, hence its dimensional formula is [M^0 L^1 T^-1].
Correct Answer:
A
— [M^0 L^1 T^-1]
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Q. The direction of induced current can be determined by which law? (2023)
-
A.
Lenz's Law
-
B.
Faraday's Law
-
C.
Ohm's Law
-
D.
Ampere's Law
Solution
Lenz's Law states that the direction of induced current is such that it opposes the change in magnetic flux that produced it.
Correct Answer:
A
— Lenz's Law
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Q. The force on a charged particle in a magnetic field is maximum when the angle between the velocity and the magnetic field is: (2021)
-
A.
0 degrees
-
B.
90 degrees
-
C.
180 degrees
-
D.
45 degrees
Solution
The force on a charged particle in a magnetic field is maximum when the angle between the velocity and the magnetic field is 90 degrees.
Correct Answer:
B
— 90 degrees
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Q. The force on a charged particle moving in a magnetic field is maximum when the angle between the velocity and the magnetic field is: (2021)
-
A.
0 degrees
-
B.
90 degrees
-
C.
180 degrees
-
D.
45 degrees
Solution
The force on a charged particle moving in a magnetic field is maximum when the angle between the velocity and the magnetic field is 90 degrees.
Correct Answer:
B
— 90 degrees
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Q. The force on a charged particle moving in a magnetic field is maximum when: (2021)
-
A.
The particle moves parallel to the field
-
B.
The particle moves perpendicular to the field
-
C.
The particle is at rest
-
D.
The particle moves in a circular path
Solution
The force on a charged particle moving in a magnetic field is maximum when the particle moves perpendicular to the field.
Correct Answer:
B
— The particle moves perpendicular to the field
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Q. The frequency of a tuning fork is 440 Hz. What is the time period of the fork? (2019)
-
A.
0.00227 s
-
B.
0.0045 s
-
C.
0.01 s
-
D.
0.005 s
Solution
Time period (T) = 1 / frequency (f) = 1 / 440 Hz ≈ 0.00227 s.
Correct Answer:
A
— 0.00227 s
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Q. The frequency of a tuning fork is 440 Hz. What is the time period of the sound wave produced? (2022)
-
A.
0.00227 s
-
B.
0.0045 s
-
C.
0.01 s
-
D.
0.005 s
Solution
Time period (T) = 1 / frequency (f) = 1 / 440 Hz ≈ 0.00227 s.
Correct Answer:
A
— 0.00227 s
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Q. The frequency of a wave is doubled. How does this affect its wavelength if the speed of the wave remains constant? (2022)
-
A.
Wavelength doubles
-
B.
Wavelength halves
-
C.
Wavelength remains the same
-
D.
Wavelength quadruples
Solution
According to the wave equation v = fλ, if frequency (f) is doubled and speed (v) remains constant, wavelength (λ) must halve.
Correct Answer:
B
— Wavelength halves
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Q. The maximum displacement of a wave from its rest position is called what? (2022)
-
A.
Amplitude
-
B.
Wavelength
-
C.
Frequency
-
D.
Period
Solution
The maximum displacement from the rest position is defined as the amplitude of the wave.
Correct Answer:
A
— Amplitude
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Q. The resonant frequency of an RLC circuit is given by which formula? (2022)
-
A.
f = 1/(2π√(LC))
-
B.
f = 2π√(LC)
-
C.
f = LC
-
D.
f = R/(2πL)
Solution
The resonant frequency f of an RLC circuit is given by f = 1/(2π√(LC)).
Correct Answer:
A
— f = 1/(2π√(LC))
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Q. The unit of electric charge in the SI system is: (2022)
-
A.
Coulomb
-
B.
Ampere
-
C.
Volt
-
D.
Ohm
Solution
Coulomb (C) is the SI unit of electric charge.
Correct Answer:
A
— Coulomb
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Q. The unit of energy equivalent to 1 Joule is: (2023)
-
A.
1 kg·m²/s²
-
B.
1 N·m
-
C.
Both 1 kg·m²/s² and 1 N·m
-
D.
None of the above
Solution
1 Joule is defined as 1 kg·m²/s² and also equals 1 N·m, hence both are correct.
Correct Answer:
C
— Both 1 kg·m²/s² and 1 N·m
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Q. The unit of energy in the CGS system is: (2020)
-
A.
Joule
-
B.
Erg
-
C.
Calorie
-
D.
Watt
Solution
In the CGS system, the unit of energy is Erg, where 1 Joule = 10^7 Ergs.
Correct Answer:
B
— Erg
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