Q. What is the relationship between the frequency and the inductive reactance? (2023)
A.
Directly proportional
B.
Inversely proportional
C.
No relationship
D.
Exponentially related
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Solution
Inductive reactance (X_L) is directly proportional to frequency (f), as given by the formula X_L = 2πfL.
Correct Answer: A — Directly proportional
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Q. What is the relationship between the number of turns in the primary and secondary coils of a transformer and the voltages across them? (2023)
A.
V_p/V_s = N_p/N_s
B.
V_p/V_s = N_s/N_p
C.
V_p = V_s
D.
V_p + V_s = 0
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Solution
The relationship is given by V_p/V_s = N_p/N_s, where V is voltage and N is the number of turns.
Correct Answer: A — V_p/V_s = N_p/N_s
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Q. What is the relationship between the RMS and average value of a sinusoidal AC current? (2023)
A.
RMS = Average
B.
RMS = Average × √2
C.
RMS = Average / √2
D.
RMS = Average × 2
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Solution
For a sinusoidal AC current, the relationship is RMS = Average / √2.
Correct Answer: C — RMS = Average / √2
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Q. What is the relationship between the units of pressure in SI? (2019)
A.
1 Pa = 1 N/m²
B.
1 Pa = 1 kg/m·s²
C.
Both are correct
D.
None of the above
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Solution
Both statements are correct; 1 Pascal (Pa) is defined as 1 Newton per square meter.
Correct Answer: C — Both are correct
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Q. What is the relationship between voltage, current, and resistance as described by Ohm's Law? (2021)
A.
V = I + R
B.
V = I * R
C.
V = I / R
D.
V = R / I
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Solution
Ohm's Law states that the voltage (V) across a conductor is directly proportional to the current (I) flowing through it, with the resistance (R) being the constant of proportionality. Therefore, V = I * R.
Correct Answer: B — V = I * R
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Q. What is the relationship between voltage, current, and resistance as stated by Ohm's Law? (2021)
A.
V = I + R
B.
V = I * R
C.
V = I / R
D.
V = R / I
Show solution
Solution
Ohm's Law states that the voltage (V) across a conductor is directly proportional to the current (I) flowing through it, with the resistance (R) being the constant of proportionality. Therefore, V = I * R.
Correct Answer: B — V = I * R
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Q. What is the resonant frequency of a series RLC circuit? (2020)
A.
f = 1/(2π√(LC))
B.
f = R/(2πL)
C.
f = 2π√(LC)
D.
f = 1/(2πR)
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Solution
The resonant frequency (f) of a series RLC circuit is given by the formula f = 1/(2π√(LC)).
Correct Answer: A — f = 1/(2π√(LC))
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Q. What is the role of a capacitor in a semiconductor circuit? (2019)
A.
To store charge
B.
To amplify signals
C.
To rectify current
D.
To generate heat
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Solution
A capacitor is used in semiconductor circuits to store charge temporarily.
Correct Answer: A — To store charge
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Q. What is the role of a capacitor in an AC circuit? (2023)
A.
Stores energy
B.
Dissipates energy
C.
Generates energy
D.
None of the above
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Solution
A capacitor stores energy in an AC circuit.
Correct Answer: A — Stores energy
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Q. What is the role of a diode in a rectifier circuit? (2022)
A.
To amplify signals
B.
To store charge
C.
To allow current in one direction
D.
To increase voltage
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Solution
In a rectifier circuit, a diode allows current to flow in one direction, converting AC to DC.
Correct Answer: C — To allow current in one direction
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Q. What is the role of a doping element in a semiconductor? (2020)
A.
To increase resistance
B.
To decrease temperature
C.
To change the conductivity
D.
To create a magnetic field
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Solution
Doping elements are added to semiconductors to change their conductivity by introducing additional charge carriers.
Correct Answer: C — To change the conductivity
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Q. What is the role of a resistor in a semiconductor circuit? (2023)
A.
Increase current
B.
Limit current
C.
Store charge
D.
Amplify signal
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Solution
A resistor is used to limit the current flowing through a semiconductor circuit to prevent damage.
Correct Answer: B — Limit current
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Q. What is the role of a transformer in an AC circuit? (2023)
A.
To convert AC to DC
B.
To increase or decrease voltage
C.
To store energy
D.
To measure current
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Solution
A transformer is used to increase or decrease voltage in an AC circuit.
Correct Answer: B — To increase or decrease voltage
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Q. What is the role of doping in semiconductors? (2022)
A.
To increase resistance
B.
To decrease conductivity
C.
To introduce charge carriers
D.
To create a magnetic field
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Solution
Doping introduces additional charge carriers (electrons or holes) into the semiconductor, enhancing its conductivity.
Correct Answer: C — To introduce charge carriers
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Q. What is the role of moderators in nuclear reactors? (2023)
A.
To increase the temperature
B.
To slow down neutrons
C.
To absorb radiation
D.
To enhance fission
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Solution
Moderators are used in nuclear reactors to slow down fast neutrons, making them more likely to induce fission in the fuel.
Correct Answer: B — To slow down neutrons
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Q. What is the root mean square speed of gas molecules at a temperature T? (2021)
A.
√(3RT/M)
B.
√(RT/M)
C.
√(2RT/M)
D.
√(3kT/m)
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Solution
The root mean square speed (v_rms) of gas molecules is given by the formula v_rms = √(3RT/M), where R is the universal gas constant, T is the temperature, and M is the molar mass.
Correct Answer: A — √(3RT/M)
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Q. What is the shape of the magnetic field lines around a circular loop of wire carrying current? (2021)
A.
Straight lines
B.
Concentric circles
C.
Ellipses
D.
Spirals
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Solution
The magnetic field lines around a circular loop of wire carrying current are in the shape of concentric circles, with the center of the loop being the point of maximum field strength.
Correct Answer: B — Concentric circles
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Q. What is the shear modulus of a material if a shear stress of 100 MPa produces a shear strain of 0.05? (2021)
A.
2000 MPa
B.
500 MPa
C.
1000 MPa
D.
1500 MPa
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Solution
Shear modulus (G) = Shear stress / Shear strain = 100 MPa / 0.05 = 2000 MPa.
Correct Answer: A — 2000 MPa
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Q. What is the shear modulus of a material if a shear stress of 100 MPa produces a shear strain of 0.02? (2022)
A.
5000 MPa
B.
2000 MPa
C.
1000 MPa
D.
2500 MPa
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Solution
Shear modulus (G) = Shear stress / Shear strain = 100 MPa / 0.02 = 5000 MPa.
Correct Answer: A — 5000 MPa
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Q. What is the SI unit of electric current? (2021)
A.
Volt
B.
Ohm
C.
Ampere
D.
Coulomb
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Solution
The SI unit of electric current is the Ampere (A).
Correct Answer: C — Ampere
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Q. What is the SI unit of magnetic field strength? (2023)
A.
Tesla
B.
Weber
C.
Henry
D.
Ampere
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Solution
The SI unit of magnetic field strength is the Tesla (T).
Correct Answer: A — Tesla
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Q. What is the SI unit of magnetic moment? (2023)
A.
Ampere-meter
B.
Tesla
C.
Joule per Tesla
D.
Newton per Ampere
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Solution
The SI unit of magnetic moment is Joule per Tesla (J/T), which can also be expressed as Ampere-meter squared (A·m²).
Correct Answer: C — Joule per Tesla
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Q. What is the significance of significant figures in a measurement? (2019)
A.
They indicate the precision of the measurement
B.
They indicate the accuracy of the measurement
C.
They are used for unit conversion
D.
They are irrelevant
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Solution
Significant figures indicate the precision of a measurement, reflecting the certainty of the digits.
Correct Answer: A — They indicate the precision of the measurement
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Q. What is the significance of significant figures in measurements? (2019)
A.
To indicate the precision of a measurement
B.
To show the accuracy of a measurement
C.
To represent the unit of measurement
D.
To determine the error in measurement
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Solution
Significant figures indicate the precision of a measurement, reflecting the certainty of the digits.
Correct Answer: A — To indicate the precision of a measurement
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Q. What is the significance of the Heisenberg Uncertainty Principle in atomic physics? (2023)
A.
It defines the position of an electron
B.
It states that energy levels are quantized
C.
It limits the precision of measuring position and momentum
D.
It explains the stability of the nucleus
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Solution
The Heisenberg Uncertainty Principle states that it is impossible to simultaneously know the exact position and momentum of a particle.
Correct Answer: C — It limits the precision of measuring position and momentum
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Q. What is the significance of the mass defect in a nucleus? (2023)
A.
It indicates the stability of the nucleus
B.
It is the mass of the nucleus
C.
It is the mass of the electrons
D.
It has no significance
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Solution
The mass defect is the difference between the mass of the nucleus and the sum of the masses of its individual nucleons, indicating the stability and binding energy of the nucleus.
Correct Answer: A — It indicates the stability of the nucleus
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Q. What is the significance of the Pauli Exclusion Principle in atomic structure? (2019)
A.
No two electrons can have the same set of quantum numbers.
B.
Electrons fill the lowest energy levels first.
C.
Electrons repel each other.
D.
Electrons can exist in any energy state.
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Solution
The Pauli Exclusion Principle states that no two electrons in an atom can have the same set of quantum numbers.
Correct Answer: A — No two electrons can have the same set of quantum numbers.
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Q. What is the specific heat capacity of air at constant pressure? (2022)
A.
1.005 J/kg·K
B.
0.718 J/kg·K
C.
4.186 J/kg·K
D.
2.093 J/kg·K
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Solution
The specific heat capacity of air at constant pressure is approximately 1.005 J/kg·K.
Correct Answer: A — 1.005 J/kg·K
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Q. What is the specific heat capacity of air? (2022)
A.
1.005 J/kg·K
B.
4.18 J/kg·K
C.
2.09 J/kg·K
D.
0.9 J/kg·K
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Solution
The specific heat capacity of air is approximately 1.005 J/kg·K.
Correct Answer: A — 1.005 J/kg·K
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Q. What is the specific heat capacity of iron? (2023)
A.
0.45 J/g·K
B.
1.00 J/g·K
C.
2.00 J/g·K
D.
4.18 J/g·K
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Solution
The specific heat capacity of iron is approximately 0.45 J/g·K.
Correct Answer: A — 0.45 J/g·K
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