Q. If sin(θ) = 0.8, what is cos(θ)? (2022)
A.
0.6
B.
0.8
C.
0.4
D.
0.2
Show solution
Solution
Using sin²(θ) + cos²(θ) = 1, cos(θ) = √(1 - 0.8²) = √(0.36) = 0.6.
Correct Answer:
A
— 0.6
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Q. If sin(θ) = 0.866, what is θ in degrees? (2020)
A.
30°
B.
45°
C.
60°
D.
90°
Show solution
Solution
sin(60°) = √3/2 ≈ 0.866, so θ = 60°.
Correct Answer:
C
— 60°
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Q. If sin(θ) = 0.866, what is θ? (2022)
A.
30°
B.
45°
C.
60°
D.
90°
Show solution
Solution
sin(60°) = √3/2 ≈ 0.866, so θ = 60°.
Correct Answer:
C
— 60°
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Q. If sin(θ) = 1, what is the value of θ in degrees? (2019)
A.
0°
B.
45°
C.
90°
D.
180°
Show solution
Solution
sin(90°) = 1, so θ = 90°.
Correct Answer:
C
— 90°
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Q. If sin(θ) = 1, what is the value of θ? (2023)
A.
0°
B.
90°
C.
180°
D.
270°
Show solution
Solution
sin(90°) = 1, so θ = 90°.
Correct Answer:
B
— 90°
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Q. If sin(θ) = 1, what is θ? (2023)
A.
0°
B.
30°
C.
90°
D.
180°
Show solution
Solution
sin(90°) = 1, so θ = 90°.
Correct Answer:
C
— 90°
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Q. If sin(θ) = 1/2, what is the possible value of θ? (2022)
A.
30°
B.
60°
C.
90°
D.
45°
Show solution
Solution
sin(30°) = 1/2, so θ = 30°.
Correct Answer:
A
— 30°
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Q. If sin(θ) = 1/√2, what is cos(θ)? (2022)
A.
1/√2
B.
0
C.
√2/2
D.
1
Show solution
Solution
Using sin²(θ) + cos²(θ) = 1, cos(θ) = √(1 - (1/√2)²) = √(1/2) = √2/2
Correct Answer:
C
— √2/2
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Q. If sin(θ) = 1/√2, what is θ in degrees?
A.
30°
B.
45°
C.
60°
D.
90°
Show solution
Solution
sin(45°) = 1/√2, so θ = 45°
Correct Answer:
B
— 45°
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Q. If tan(θ) = 1, what is the value of θ? (2020)
A.
0°
B.
30°
C.
45°
D.
60°
Show solution
Solution
tan(45°) = 1, so θ = 45°.
Correct Answer:
C
— 45°
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Q. If the amplitude of a simple harmonic motion is doubled, what happens to the total energy of the system? (2022)
A.
It remains the same
B.
It doubles
C.
It quadruples
D.
It halves
Show solution
Solution
Total energy (E) in SHM is proportional to the square of the amplitude (A). If A is doubled, E becomes 4A^2, hence it quadruples.
Correct Answer:
C
— It quadruples
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Q. If the amplitude of a simple harmonic oscillator is increased, what happens to its total energy? (2021)
A.
Increases
B.
Decreases
C.
Remains the same
D.
Becomes zero
Show solution
Solution
The total energy (E) in a simple harmonic oscillator is given by E = (1/2)kA². If amplitude (A) increases, energy increases.
Correct Answer:
A
— Increases
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Q. If the amplitude of a simple harmonic oscillator is tripled, how does the total energy change? (2020)
A.
Increases by 3 times
B.
Increases by 6 times
C.
Increases by 9 times
D.
Remains the same
Show solution
Solution
Total energy in SHM is proportional to the square of the amplitude. If amplitude is tripled, energy increases by 3^2 = 9 times.
Correct Answer:
C
— Increases by 9 times
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Q. If the amplitude of a wave is doubled, how does it affect the energy of the wave? (2020)
A.
Remains the same
B.
Doubles
C.
Increases by four times
D.
Halves
Show solution
Solution
Energy of a wave is proportional to the square of the amplitude. If amplitude is doubled, energy increases by (2^2) = 4 times.
Correct Answer:
C
— Increases by four times
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Q. If the amplitude of a wave is doubled, how does this affect the energy carried by the wave? (2021)
A.
Energy is halved
B.
Energy remains the same
C.
Energy is doubled
D.
Energy is quadrupled
Show solution
Solution
The energy carried by a wave is proportional to the square of the amplitude. Therefore, if the amplitude is doubled, the energy increases by a factor of four.
Correct Answer:
D
— Energy is quadrupled
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Q. If the amplitude of a wave is increased, what effect does it have on the energy of the wave? (2022)
A.
Energy decreases
B.
Energy remains the same
C.
Energy increases
D.
Energy becomes zero
Show solution
Solution
The energy of a wave is proportional to the square of its amplitude. Therefore, if the amplitude increases, the energy also increases.
Correct Answer:
C
— Energy increases
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Q. If the amplitude of a wave is increased, what effect does it have on the energy carried by the wave? (2019)
A.
Energy decreases
B.
Energy remains the same
C.
Energy increases
D.
Energy becomes zero
Show solution
Solution
The energy carried by a wave is proportional to the square of its amplitude. Therefore, if the amplitude increases, the energy also increases.
Correct Answer:
C
— Energy increases
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Q. If the amplitude of a wave is increased, what happens to its energy? (2019)
A.
Decreases
B.
Increases
C.
Remains the same
D.
Becomes zero
Show solution
Solution
The energy of a wave is proportional to the square of its amplitude. Therefore, if the amplitude increases, the energy also increases.
Correct Answer:
B
— Increases
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Q. If the amplitude of a wave is tripled, what happens to the energy carried by the wave? (2019)
A.
It remains the same
B.
It doubles
C.
It triples
D.
It increases by a factor of nine
Show solution
Solution
The energy carried by a wave is proportional to the square of the amplitude. Therefore, if the amplitude is tripled, the energy increases by a factor of 3^2 = 9.
Correct Answer:
D
— It increases by a factor of nine
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Q. If the angular momentum of a system is conserved, what can be said about the net external torque acting on the system? (2023)
A.
It is zero
B.
It is constant
C.
It is maximum
D.
It is minimum
Show solution
Solution
If angular momentum is conserved, it implies that the net external torque acting on the system is zero.
Correct Answer:
A
— It is zero
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Q. If the area of a circle is 78.5 cm², what is the radius? (2021)
A.
5 cm
B.
7 cm
C.
10 cm
D.
6 cm
Show solution
Solution
Area = πr²; 78.5 = π * r²; r² = 78.5/π = 25; r = 5 cm.
Correct Answer:
B
— 7 cm
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Q. If the area of a coil is doubled while keeping the magnetic field constant, what happens to the magnetic flux through the coil? (2023)
A.
It doubles
B.
It halves
C.
It remains the same
D.
It quadruples
Show solution
Solution
Magnetic flux (Φ) is given by the product of magnetic field (B) and area (A). If the area is doubled and the magnetic field remains constant, the magnetic flux also doubles.
Correct Answer:
A
— It doubles
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Q. If the area of a loop in a magnetic field is doubled while keeping the magnetic field strength constant, what happens to the magnetic flux through the loop?
A.
It doubles
B.
It halves
C.
It remains the same
D.
It quadruples
Show solution
Solution
Magnetic flux (Φ) is given by Φ = B * A. If the area (A) is doubled and the magnetic field (B) remains constant, the magnetic flux also doubles.
Correct Answer:
A
— It doubles
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Q. If the capacitance in an AC circuit is increased, what happens to the capacitive reactance? (2023)
A.
It increases
B.
It decreases
C.
It remains the same
D.
It becomes zero
Show solution
Solution
Capacitive reactance XC = 1/(ωC). If capacitance C increases, XC decreases.
Correct Answer:
B
— It decreases
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Q. If the capacitance of a capacitor is doubled while keeping the charge constant, what happens to the potential difference across it? (2020)
A.
It doubles
B.
It halves
C.
It remains the same
D.
It quadruples
Show solution
Solution
Capacitance C is defined as C = Q/V. If C is doubled and Q remains constant, then V must halve to maintain the equation.
Correct Answer:
B
— It halves
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Q. If the capacitance of a parallel plate capacitor is C, what will be the capacitance if the distance between the plates is doubled? (2020)
Show solution
Solution
The capacitance C of a parallel plate capacitor is given by C = εA/d. If the distance d is doubled, the new capacitance will be C/2.
Correct Answer:
A
— C/2
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Q. If the charge on a capacitor is doubled while keeping the voltage constant, what happens to the capacitance? (2022)
A.
It doubles
B.
It halves
C.
It remains the same
D.
It quadruples
Show solution
Solution
Capacitance C = Q/V. If Q is doubled and V remains constant, C must also double.
Correct Answer:
A
— It doubles
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Q. If the charge on a capacitor is doubled, what happens to the electric field between the plates? (2022)
A.
It doubles
B.
It halves
C.
It remains the same
D.
It quadruples
Show solution
Solution
The electric field E between the plates of a capacitor is directly proportional to the charge. If the charge is doubled, the electric field also doubles.
Correct Answer:
A
— It doubles
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Q. If the charge on a capacitor is doubled, what happens to the energy stored? (2019)
A.
It remains the same
B.
It doubles
C.
It quadruples
D.
It halves
Show solution
Solution
The energy stored in a capacitor is proportional to the square of the charge (U = Q^2/(2C)). Doubling the charge increases the energy by a factor of 4.
Correct Answer:
C
— It quadruples
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Q. If the charge on an object is tripled, what happens to the electric field produced by that charge? (2020)
A.
It triples
B.
It halves
C.
It remains the same
D.
It quadruples
Show solution
Solution
The electric field E is directly proportional to the charge, so tripling the charge will triple the electric field.
Correct Answer:
A
— It triples
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