Undergraduate
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 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 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 interference experiment, what type of interference occurs when light reflects off a denser medium? (2023)
A.
Constructive interference
B.
Destructive interference
C.
No interference
D.
Total internal reflection
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Solution
When light reflects off a denser medium, a phase change of π occurs, leading to destructive interference for certain path differences.
Correct Answer: B — Destructive interference
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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, what color will be seen if the film thickness is such that destructive interference occurs for blue light? (2021)
A.
Red
B.
Green
C.
Blue
D.
Yellow
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Solution
If destructive interference occurs for blue light, the color seen will be the complementary color, which is red.
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 is viewed in white light? (2022)
A.
Red
B.
Blue
C.
Green
D.
Yellow
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Solution
At the center of the thin film interference pattern, the color that appears is typically green due to the constructive interference of wavelengths in that range.
Correct Answer: C — Green
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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 vacuum, which of the following travels the fastest?
A.
Sound
B.
Light
C.
Water waves
D.
Radio waves
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Solution
In a vacuum, light travels the fastest at approximately 3 x 10^8 m/s, while sound and water waves require a medium to travel.
Correct Answer: B — Light
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Q. In a zero-order reaction, the rate of reaction is independent of the concentration of the reactants. What is the unit of the rate constant (k) for a zero-order reaction? (2023)
A.
mol/L·s
B.
L^2/mol·s
C.
mol/L
D.
s^-1
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Solution
For a zero-order reaction, the rate is constant and does not depend on the concentration of reactants. The unit of the rate constant (k) is mol/L·s.
Correct Answer: A — mol/L·s
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Q. In a zero-order reaction, the rate of reaction is independent of which of the following? (2023) 2023
A.
Concentration of reactants
B.
Temperature
C.
Presence of a catalyst
D.
All of the above
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Solution
In a zero-order reaction, the rate is constant and does not depend on the concentration of the reactants.
Correct Answer: A — Concentration of reactants
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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 frequency is 60Hz and the inductance is 0.2H, what is the inductive reactance? (2021)
A.
12.56Ω
B.
37.68Ω
C.
75.36Ω
D.
100Ω
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Solution
Inductive reactance (XL) = 2πfL = 2π(60)(0.2) ≈ 75.36Ω.
Correct Answer: B — 37.68Ω
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Q. In an AC circuit, if the frequency is increased, what happens to the inductive reactance? (2020)
A.
It increases
B.
It decreases
C.
It remains constant
D.
It becomes zero
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Solution
Inductive reactance (XL = 2πfL) increases with an increase in frequency.
Correct Answer: A — It increases
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Q. In an AC circuit, if the power factor is 0.8, what is the angle between the voltage and current? (2020)
A.
36.87°
B.
53.13°
C.
60°
D.
45°
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Solution
The angle θ can be found using cos(θ) = power factor. Therefore, θ = cos⁻¹(0.8) ≈ 36.87°.
Correct Answer: B — 53.13°
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Q. In an AC circuit, if the resistance is 10 ohms and the inductive reactance is 20 ohms, what is the total impedance? (2020)
A.
10 ohms
B.
20 ohms
C.
√(10² + 20²)
D.
30 ohms
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Solution
The total impedance Z = √(R² + XL²) = √(10² + 20²) = √(100 + 400) = √500 = 22.36 ohms.
Correct Answer: C — √(10² + 20²)
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Q. In an AC circuit, if the resistance is 10 ohms and the inductive reactance is 20 ohms, what is the impedance? (2020)
A.
10 ohms
B.
20 ohms
C.
√(10² + 20²)
D.
30 ohms
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Solution
The impedance Z = √(R² + XL²) = √(10² + 20²) = √(100 + 400) = √500 = 22.36 ohms.
Correct Answer: C — √(10² + 20²)
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Q. In an AC circuit, if the resistance is 10Ω and the inductive reactance is 20Ω, what is the total impedance? (2020)
A.
10Ω
B.
20Ω
C.
√(10² + 20²)
D.
30Ω
Show solution
Solution
The total impedance Z = √(R² + XL²) = √(10² + 20²) = √(100 + 400) = √500 = 22.36Ω.
Correct Answer: C — √(10² + 20²)
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Q. In an AC circuit, if the voltage is 120 V and the current is 10 A with a power factor of 0.8, what is the real power consumed? (2021)
A.
960 W
B.
1200 W
C.
800 W
D.
1000 W
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Solution
Real power P = V * I * power factor = 120 * 10 * 0.8 = 960 W.
Correct Answer: A — 960 W
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Q. In an AC circuit, if the voltage is 120V and the current is 10A with a power factor of 0.8, what is the real power consumed? (2021)
A.
120W
B.
800W
C.
960W
D.
1000W
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Solution
Real power P = V * I * power factor = 120V * 10A * 0.8 = 960W.
Correct Answer: C — 960W
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Q. In an AC circuit, if the voltage is 120V and the current is 10A, what is the power factor if the real power is 600W? (2022)
A.
0.5
B.
0.6
C.
0.8
D.
1.0
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Solution
Power factor = Real Power / (Voltage x Current) = 600 / (120 x 10) = 600 / 1200 = 0.5.
Correct Answer: B — 0.6
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Q. In an AC circuit, if the voltage is given by V(t) = 100 sin(100t), what is the RMS voltage? (2023)
A.
100 V
B.
70.7 V
C.
50 V
D.
141.4 V
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Solution
The RMS voltage is V_rms = V0/√2 = 100/√2 = 70.7 V.
Correct Answer: B — 70.7 V
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Q. In an AC circuit, if the voltage is given by V(t) = 100√2 sin(1000t), what is the peak voltage? (2023)
A.
100 V
B.
100√2 V
C.
200 V
D.
50 V
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Solution
The peak voltage is given by the coefficient of sin, which is 100√2.
Correct Answer: B — 100√2 V
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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)
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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 V(t) = 120 sin(ωt), what is the RMS voltage? (2017)
A.
120 V
B.
60 V
C.
84.85 V
D.
100 V
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Solution
RMS voltage V_rms = V_peak / √2 = 120 / √2 = 84.85 V.
Correct Answer: C — 84.85 V
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