Q. What happens to the total mechanical energy of a rolling object if it rolls without slipping?
A.
It increases
B.
It decreases
C.
It remains constant
D.
It depends on the surface
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Solution
In rolling without slipping, the total mechanical energy (potential + kinetic) remains constant due to conservation of energy.
Correct Answer:
C
— It remains constant
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Q. What happens to the volume of a gas when it is heated at constant pressure?
A.
It decreases
B.
It remains the same
C.
It increases
D.
It fluctuates
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Solution
According to Charles's Law, the volume of a gas increases when it is heated at constant pressure.
Correct Answer:
C
— It increases
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Q. What happens to the wavelength of a sound wave as its frequency increases, assuming the speed of sound remains constant?
A.
Wavelength increases
B.
Wavelength decreases
C.
Wavelength remains constant
D.
Wavelength becomes zero
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Solution
If the speed of sound is constant, an increase in frequency results in a decrease in wavelength.
Correct Answer:
B
— Wavelength decreases
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Q. What happens to the wavelength of light as it enters a medium with a higher refractive index?
A.
It increases
B.
It decreases
C.
It remains the same
D.
It doubles
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Solution
The wavelength decreases as light enters a medium with a higher refractive index.
Correct Answer:
B
— It decreases
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Q. What is entropy a measure of?
A.
Energy
B.
Disorder
C.
Temperature
D.
Pressure
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Solution
Entropy is a measure of disorder or randomness in a system, indicating the number of ways a system can be arranged.
Correct Answer:
B
— Disorder
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Q. What is nuclear fission?
A.
The splitting of a heavy nucleus into lighter nuclei.
B.
The combining of light nuclei to form a heavier nucleus.
C.
The decay of a radioactive isotope.
D.
The emission of radiation from a nucleus.
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Solution
Nuclear fission is the process in which a heavy nucleus splits into two or more lighter nuclei, releasing a significant amount of energy in the process.
Correct Answer:
A
— The splitting of a heavy nucleus into lighter nuclei.
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Q. What is the acceleration of a 3 kg object subjected to a net force of 12 N?
A.
2 m/s²
B.
3 m/s²
C.
4 m/s²
D.
5 m/s²
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Solution
Using F = ma, a = F/m = 12 N / 3 kg = 4 m/s².
Correct Answer:
C
— 4 m/s²
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Q. What is the acceleration of an object in simple harmonic motion at maximum displacement?
A.
Zero
B.
Maximum
C.
Minimum
D.
Constant
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Solution
The acceleration is maximum at maximum displacement, directed towards the equilibrium position.
Correct Answer:
B
— Maximum
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Q. What is the angular displacement of a wheel that rotates from rest to an angular velocity of 10 rad/s in 5 seconds with a constant angular acceleration?
A.
25 rad
B.
50 rad
C.
75 rad
D.
100 rad
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Solution
Using the formula θ = ω₀t + 0.5αt², where ω₀ = 0, α = 2 rad/s², and t = 5 s, we find θ = 0 + 0.5 * 2 * 5² = 25 rad.
Correct Answer:
B
— 50 rad
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Q. What is the angular displacement of an object that rotates through an angle of 90 degrees?
A.
0.5 radians
B.
1 radian
C.
1.57 radians
D.
1.5 radians
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Solution
90 degrees is equal to π/2 radians, which is approximately 1.57 radians.
Correct Answer:
A
— 0.5 radians
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Q. What is the angular momentum of a 2 kg object moving in a circle of radius 3 m at a speed of 4 m/s?
A.
24 kg·m²/s
B.
12 kg·m²/s
C.
6 kg·m²/s
D.
8 kg·m²/s
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Solution
Angular momentum L = mvr = 2 kg × 4 m/s × 3 m = 24 kg·m²/s.
Correct Answer:
A
— 24 kg·m²/s
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Q. What is the average kinetic energy of a gas molecule at temperature 300 K?
A.
1.24 x 10^-21 J
B.
4.14 x 10^-21 J
C.
6.21 x 10^-21 J
D.
2.07 x 10^-21 J
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Solution
The average kinetic energy of a gas molecule is given by the formula KE = (3/2)kT, where k is the Boltzmann constant (1.38 x 10^-23 J/K) and T is the temperature in Kelvin. KE = (3/2)(1.38 x 10^-23)(300) = 6.21 x 10^-21 J.
Correct Answer:
B
— 4.14 x 10^-21 J
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Q. What is the band gap of a semiconductor?
A.
The energy difference between the valence band and conduction band
B.
The energy required to ionize an atom
C.
The energy of the electrons in the conduction band
D.
The energy of the holes in the valence band
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Solution
The band gap of a semiconductor is the energy difference between the valence band and the conduction band, determining its electrical properties.
Correct Answer:
A
— The energy difference between the valence band and conduction band
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Q. What is the capacitance (C) of a parallel plate capacitor with area A and separation d?
A.
C = ε * A / d
B.
C = A / (ε * d)
C.
C = ε * d / A
D.
C = A * d / ε
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Solution
The capacitance of a parallel plate capacitor is given by C = ε * A / d, where ε is the permittivity of the dielectric.
Correct Answer:
A
— C = ε * A / d
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Q. What is the capacitance of a capacitor that stores 0.01 C of charge at a potential difference of 5 V?
A.
0.002 F
B.
0.01 F
C.
0.005 F
D.
0.1 F
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Solution
C = Q / V = 0.01 C / 5 V = 0.002 F.
Correct Answer:
A
— 0.002 F
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Q. What is the capacitance of a capacitor that stores 0.01 C of charge at a voltage of 5 V?
A.
0.002 F
B.
0.01 F
C.
0.005 F
D.
0.02 F
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Solution
Using the formula C = Q/V = 0.01 C / 5 V = 0.002 F.
Correct Answer:
A
— 0.002 F
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Q. What is the capacitance of a capacitor that stores 0.01 J of energy at a voltage of 10 V?
A.
0.2 F
B.
0.1 F
C.
0.05 F
D.
0.01 F
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Solution
Using U = 1/2 C V^2, rearranging gives C = 2U/V^2 = 2(0.01 J)/(10 V)^2 = 0.1 F.
Correct Answer:
B
— 0.1 F
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Q. What is the capacitance of a capacitor that stores 0.02 C of charge at a potential difference of 10 V?
A.
0.2 F
B.
0.5 F
C.
2 F
D.
5 F
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Solution
Capacitance C = Q/V = 0.02 C / 10 V = 0.002 F = 0.2 F.
Correct Answer:
A
— 0.2 F
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Q. What is the capacitance of a capacitor that stores 20 µC of charge at a potential difference of 5 V?
A.
2 µF
B.
4 µF
C.
5 µF
D.
10 µF
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Solution
C = Q/V = 20 x 10^-6 C / 5 V = 4 µF.
Correct Answer:
B
— 4 µF
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Q. What is the capacitance of a capacitor with a charge of 12 µC and a voltage of 6 V?
A.
2 µF
B.
4 µF
C.
6 µF
D.
8 µF
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Solution
C = Q/V = 12 x 10^-6 C / 6 V = 2 x 10^-6 F = 2 µF.
Correct Answer:
B
— 4 µF
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Q. What is the capacitance of a capacitor with a charge of 5 µC and a potential difference of 10 V?
A.
0.5 µF
B.
1 µF
C.
2 µF
D.
0.2 µF
Show solution
Solution
Capacitance (C) is given by C = Q/V. Here, C = 5 µC / 10 V = 0.5 µF.
Correct Answer:
A
— 0.5 µF
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Q. What is the capacitance of a capacitor with a charge of 6 µC and a voltage of 12 V?
A.
0.5 µF
B.
0.25 µF
C.
0.75 µF
D.
1 µF
Show solution
Solution
C = Q/V = 6 x 10^-6 C / 12 V = 0.5 x 10^-6 F = 0.5 µF.
Correct Answer:
A
— 0.5 µF
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Q. What is the capacitance of a parallel plate capacitor with an area of 0.01 m² and a separation of 0.001 m, filled with a dielectric of k=5?
A.
5.5 µF
B.
5.0 µF
C.
4.5 µF
D.
6.0 µF
Show solution
Solution
C = k * ε0 * (A/d) = 5 * (8.85 x 10^-12 F/m) * (0.01 m² / 0.001 m) = 5.0 µF.
Correct Answer:
B
— 5.0 µF
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Q. What is the capacitance of a parallel plate capacitor with an area of 0.01 m² and a separation of 0.001 m, filled with a dielectric of k=2?
A.
5.5 µF
B.
4.4 µF
C.
2.2 µF
D.
1.1 µF
Show solution
Solution
C = k * ε₀ * (A/d) = 2 * (8.85 x 10^-12 F/m) * (0.01 m² / 0.001 m) = 4.4 µF.
Correct Answer:
B
— 4.4 µF
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Q. What is the capacitance of a parallel plate capacitor with an area of 2 m² and a separation of 0.01 m filled with a dielectric of relative permittivity 5?
A.
0.88 µF
B.
1.77 µF
C.
2.65 µF
D.
3.54 µF
Show solution
Solution
Capacitance C = (ε₀ * ε_r * A) / d = (8.85 x 10^-12 F/m * 5 * 2 m²) / 0.01 m = 8.85 x 10^-11 F = 1.77 µF.
Correct Answer:
B
— 1.77 µF
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Q. What is the center of mass of a system of particles?
A.
The point where the total mass is concentrated
B.
The average position of all particles
C.
The point of maximum gravitational force
D.
The point where all forces balance
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Solution
The center of mass of a system of particles is defined as the average position of all the particles in the system, weighted by their masses.
Correct Answer:
B
— The average position of all particles
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Q. What is the centripetal acceleration of a car moving in a circular path of radius 50 m at a speed of 20 m/s?
A.
4 m/s²
B.
8 m/s²
C.
10 m/s²
D.
16 m/s²
Show solution
Solution
Centripetal acceleration is given by a_c = v²/r = (20 m/s)² / 50 m = 8 m/s².
Correct Answer:
B
— 8 m/s²
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Q. What is the centripetal acceleration of an object moving in a circle of radius 3 m at an angular velocity of 4 rad/s?
A.
4 m/s²
B.
12 m/s²
C.
16 m/s²
D.
24 m/s²
Show solution
Solution
Centripetal acceleration a_c = rω² = 3 m * (4 rad/s)² = 3 * 16 = 48 m/s².
Correct Answer:
B
— 12 m/s²
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Q. What is the centripetal force required to keep a 2 kg object moving in a circle of radius 3 m at a speed of 4 m/s?
A.
10.67 N
B.
8 N
C.
6 N
D.
12 N
Show solution
Solution
Centripetal force F = mv²/r = 2 kg * (4 m/s)² / 3 m = 10.67 N.
Correct Answer:
A
— 10.67 N
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Q. What is the change in entropy when 1 kg of ice at -10°C is converted to water at 0°C?
A.
0 J/K
B.
333 J/K
C.
1000 J/K
D.
2000 J/K
Show solution
Solution
The change in entropy during the melting of ice is approximately 333 J/K.
Correct Answer:
B
— 333 J/K
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