Q. In a series RLC circuit, what happens at resonance? (2020)
A.
Impedance is minimum
B.
Current is minimum
C.
Voltage is maximum
D.
Power factor is zero
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Solution
At resonance in a series RLC circuit, the impedance is minimum, and the circuit behaves like a purely resistive circuit.
Correct Answer: A — Impedance is minimum
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Q. In a series RLC circuit, what happens to the current when the circuit is at resonance? (2021)
A.
It is maximum
B.
It is minimum
C.
It is zero
D.
It is constant
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Solution
At resonance in a series RLC circuit, the impedance is minimum, and thus the current is maximum.
Correct Answer: A — It is maximum
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Q. In a series RLC circuit, what happens to the impedance at resonance? (2021)
A.
Minimum
B.
Maximum
C.
Zero
D.
Infinite
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Solution
At resonance in a series RLC circuit, the impedance is at a minimum.
Correct Answer: A — Minimum
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Q. In a series RLC circuit, what happens to the total impedance when the circuit is at resonance? (2022)
A.
It is minimum
B.
It is maximum
C.
It is equal to R
D.
It is equal to L
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Solution
At resonance in a series RLC circuit, the total impedance is minimum and is equal to the resistance (R) of the circuit.
Correct Answer: C — It is equal to R
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Q. In a simple cubic lattice, how many atoms are present in one unit cell? (2019)
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Solution
In a simple cubic lattice, there is 1 atom per unit cell (1/8 atom from each of the 8 corners).
Correct Answer: A — 1
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Q. In a simple harmonic motion, the maximum velocity occurs at which point? (2019)
A.
At the mean position
B.
At the extreme position
C.
At half the amplitude
D.
At the equilibrium position
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Solution
Maximum velocity occurs at the mean position where the displacement is zero.
Correct Answer: A — At the mean position
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Q. In a simple harmonic oscillator, if the mass is doubled, what happens to the time period? (2022)
A.
It remains the same
B.
It doubles
C.
It increases by √2
D.
It decreases by √2
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Solution
Time period (T) = 2π√(m/k), doubling m will double T.
Correct Answer: B — It doubles
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Q. In a simple harmonic oscillator, if the mass is increased, what happens to the time period? (2019)
A.
Increases
B.
Decreases
C.
Remains the same
D.
Depends on amplitude
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Solution
Time period (T) = 2π√(m/k). If mass (m) increases, T increases.
Correct Answer: A — Increases
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Q. In a standing wave, what are the points called where there is no displacement? (2020)
A.
Nodes
B.
Antinodes
C.
Crests
D.
Troughs
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Solution
In a standing wave, the points where there is no displacement are called nodes.
Correct Answer: A — Nodes
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Q. In a test cross, an individual of unknown genotype is crossed with which of the following? (2021)
A.
Homozygous dominant
B.
Heterozygous
C.
Homozygous recessive
D.
Any individual
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Solution
A test cross is performed by crossing an individual of unknown genotype with a homozygous recessive individual.
Correct Answer: C — Homozygous recessive
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Q. In a test cross, an individual with a dominant phenotype is crossed with which of the following? (2021)
A.
Homozygous dominant
B.
Homozygous recessive
C.
Heterozygous
D.
None of the above
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Solution
In a test cross, an individual with a dominant phenotype is crossed with a homozygous recessive individual to determine its genotype.
Correct Answer: B — Homozygous recessive
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Q. In a test cross, an individual with an unknown genotype is crossed with which of the following? (2023)
A.
Homozygous dominant
B.
Heterozygous
C.
Homozygous recessive
D.
Any individual
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Solution
In a test cross, the individual with an unknown genotype is crossed with a homozygous recessive individual.
Correct Answer: C — Homozygous recessive
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Q. In a thin film of air between two glass plates, which of the following colors will be least affected by interference? (2022)
A.
Red
B.
Green
C.
Blue
D.
Violet
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Solution
Red light has the longest wavelength and is least affected by interference effects in thin films compared to shorter wavelengths.
Correct Answer: A — Red
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Q. In a thin film of oil on water, which color of light is most likely to be reflected? (2022)
A.
Red
B.
Blue
C.
Green
D.
Yellow
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Solution
Due to the phenomenon of thin film interference, the color that is most prominently reflected depends on the thickness of the film and the wavelength of light. Typically, blue light is more likely to be reflected due to shorter wavelengths.
Correct Answer: B — Blue
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Q. In a thin film of oil on water, which color will appear at the center of the pattern if the film thickness is such that it causes destructive interference for red light? (2022)
A.
Blue
B.
Green
C.
Yellow
D.
Red
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Solution
Destructive interference for red light means red light is canceled out, leaving the shorter wavelengths (blue) visible.
Correct Answer: A — Blue
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Q. In a thin film of soap, which color appears at the center of the pattern due to destructive interference? (2023)
A.
Red
B.
Blue
C.
Green
D.
Yellow
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Solution
At the center, destructive interference occurs for red light due to its longer wavelength.
Correct Answer: A — Red
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Q. In a transformer, if the primary coil has 100 turns and the secondary coil has 200 turns, what is the turns ratio? (2021)
A.
1:2
B.
2:1
C.
1:1
D.
3:1
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Solution
The turns ratio is 100:200, which simplifies to 1:2.
Correct Answer: A — 1:2
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Q. In a transformer, if the primary coil has 100 turns and the secondary coil has 50 turns, what is the turns ratio? (2023)
A.
2:1
B.
1:2
C.
1:1
D.
3:1
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Solution
The turns ratio is 2:1, as the primary has twice the number of turns compared to the secondary.
Correct Answer: A — 2:1
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Q. In a transformer, if the primary coil has more turns than the secondary coil, what type of transformer is it? (2021)
A.
Step-up transformer
B.
Step-down transformer
C.
Isolation transformer
D.
Auto transformer
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Solution
If the primary coil has more turns than the secondary coil, it is a step-down transformer.
Correct Answer: B — Step-down transformer
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Q. In a Zener diode, what is the purpose of the reverse breakdown region? (2020)
A.
To increase voltage
B.
To regulate voltage
C.
To decrease current
D.
To store energy
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Solution
The reverse breakdown region in a Zener diode allows it to regulate voltage by maintaining a constant output voltage.
Correct Answer: B — To regulate voltage
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Q. In an AC circuit, if the current lags the voltage by 30 degrees, what is the power factor? (2023)
A.
0.866
B.
0.5
C.
1
D.
0.707
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Solution
The power factor (PF) is given by cos(θ). If θ = 30 degrees, PF = cos(30°) = √3/2 ≈ 0.866.
Correct Answer: A — 0.866
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Q. In an AC circuit, if the power factor is 0.5, what is the angle φ between the voltage and current? (2019)
A.
30 degrees
B.
60 degrees
C.
90 degrees
D.
45 degrees
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Solution
The power factor (cosφ) is 0.5, which corresponds to an angle φ of 60 degrees.
Correct Answer: B — 60 degrees
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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 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, 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
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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 type of circuit? (2020)
A.
Resistive
B.
Inductive
C.
Capacitive
D.
RLC
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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
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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, 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
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Solution
In a purely inductive AC circuit, the current lags the voltage by 90 degrees.
Correct Answer: B — 90 degrees
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