Q. What is the relationship between electric field (E) and electric potential (V) in a uniform field? (2022)
A.
E = V/d
B.
E = d/V
C.
E = V^2
D.
E = V/d^2
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Solution
In a uniform electric field, the electric field E is related to the potential difference V and the distance d by the equation E = V/d.
Correct Answer: A — E = V/d
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Q. What is the relationship between frequency (f) and period (T) of a wave? (2023)
A.
f = T
B.
f = 1/T
C.
f = T^2
D.
f = 2πT
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Solution
The frequency (f) is the reciprocal of the period (T), given by the formula f = 1/T.
Correct Answer: B — f = 1/T
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Q. What is the relationship between frequency and period of a wave? (2020)
A.
Frequency = Period × Speed
B.
Frequency = 1/Period
C.
Frequency = Speed × Wavelength
D.
Frequency = Wavelength/Speed
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Solution
The frequency (f) of a wave is the reciprocal of the period (T), given by the formula f = 1/T.
Correct Answer: B — Frequency = 1/Period
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Q. What is the relationship between frequency and the time period of an AC signal? (2023)
A.
Frequency = Time period × 2
B.
Frequency = 1 / Time period
C.
Frequency = Time period / 2
D.
Frequency = Time period × π
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Solution
The frequency (f) is the reciprocal of the time period (T), given by f = 1 / T.
Correct Answer: B — Frequency = 1 / Time period
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Q. What is the relationship between magnetic field strength and distance from a long straight conductor? (2023)
A.
Increases with distance
B.
Decreases with distance
C.
Remains constant
D.
Increases then decreases
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Solution
The magnetic field strength around a long straight conductor decreases with distance from the conductor, following the inverse relationship.
Correct Answer: B — Decreases with distance
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Q. What is the relationship between pressure and depth in a fluid at rest? (2019)
A.
Pressure increases with depth
B.
Pressure decreases with depth
C.
Pressure remains constant
D.
Pressure varies randomly
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Solution
In a fluid at rest, pressure increases with depth due to the weight of the fluid above.
Correct Answer: A — Pressure increases with depth
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Q. What is the relationship between RMS and average value of an AC waveform? (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 waveform, the RMS value is related to the average value by RMS = Average / √2.
Correct Answer: C — RMS = Average / √2
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Q. What is the relationship between the frequency and the inductive reactance in an AC circuit? (2022)
A.
Directly proportional
B.
Inversely proportional
C.
No relation
D.
Exponential relation
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Solution
Inductive reactance is directly proportional to the frequency of the AC source.
Correct Answer: A — Directly proportional
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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
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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 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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