Q. What is the Ksp of AgCl if the solubility of AgCl in water is 1.33 x 10^-5 M? (2023)
-
A.
1.78 x 10^-10
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B.
1.33 x 10^-5
-
C.
1.33 x 10^-10
-
D.
1.78 x 10^-5
Solution
Ksp = [Ag+][Cl-] = (1.33 x 10^-5)(1.33 x 10^-5) = 1.78 x 10^-10.
Correct Answer: A — 1.78 x 10^-10
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Q. What is the latent heat of fusion if 2000 J of energy is required to melt 0.5 kg of ice? (2021)
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A.
2000 J/kg
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B.
4000 J/kg
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C.
1000 J/kg
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D.
500 J/kg
Solution
Latent heat of fusion (L) = Q / m = 2000 J / 0.5 kg = 4000 J/kg.
Correct Answer: A — 2000 J/kg
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Q. What is the latent heat of fusion of ice if 80 calories are required to melt 20 grams of ice? (2020)
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A.
40 cal/g
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B.
60 cal/g
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C.
80 cal/g
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D.
100 cal/g
Solution
Latent heat of fusion (L_f) = Q / m = 80 cal / 20 g = 4 cal/g.
Correct Answer: C — 80 cal/g
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Q. What is the latent heat of vaporization if 500 g of water at 100°C is converted to steam at the same temperature, absorbing 2260 kJ of heat? (2023)
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A.
2260 J/g
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B.
450 J/g
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C.
334 J/g
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D.
1000 J/g
Solution
Latent heat of vaporization (L) = Q / m = 2260 kJ / 500 g = 4.52 kJ/g = 2260 J/g.
Correct Answer: A — 2260 J/g
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Q. What is the latent heat of vaporization of water if 540 J of energy is required to convert 100 g of water at 100°C to steam? (2021)
-
A.
540 J/g
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B.
54 J/g
-
C.
5.4 J/g
-
D.
0.54 J/g
Solution
Latent heat of vaporization (L) = Q/m = 540 J / 100 g = 5.4 J/g.
Correct Answer: A — 540 J/g
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Q. What is the length of a chord that is 6 cm away from the center of a circle with a radius of 10 cm? (2015)
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A.
8 cm
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B.
12 cm
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C.
10 cm
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D.
6 cm
Solution
Using Pythagoras: (radius)² = (distance from center)² + (half chord)²; 10² = 6² + (half chord)²; half chord = 8 cm, so full chord = 16 cm.
Correct Answer: A — 8 cm
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Q. What is the length of a chord that is 6 cm from the center of a circle with a radius of 10 cm? (2019)
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A.
8 cm
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B.
12 cm
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C.
10 cm
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D.
6 cm
Solution
Using Pythagoras: chord length = 2√(r² - d²) = 2√(10² - 6²) = 2√(100 - 36) = 2√64 = 16 cm.
Correct Answer: A — 8 cm
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Q. What is the length of a diameter of a circle with a radius of 7 cm? (2022)
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A.
14 cm
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B.
21 cm
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C.
7 cm
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D.
28 cm
Solution
Diameter = 2 × radius; Diameter = 2 × 7 cm = 14 cm.
Correct Answer: A — 14 cm
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Q. What is the length of an arc of a circle with a radius of 10 cm and a central angle of 60 degrees? (2021)
-
A.
10.47 cm
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B.
12.57 cm
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C.
15.71 cm
-
D.
20.94 cm
Solution
Arc length = (θ/360) * 2πr = (60/360) * 2 * 3.14 * 10 = 10.47 cm.
Correct Answer: B — 12.57 cm
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Q. What is the length of an arc of a circle with a radius of 10 cm and a central angle of 60 degrees? (2021) 2021
-
A.
10.47 cm
-
B.
15.71 cm
-
C.
20.94 cm
-
D.
25.13 cm
Solution
Arc length = (θ/360) * 2πr = (60/360) * 2 * 3.14 * 10 = 10.47 cm.
Correct Answer: A — 10.47 cm
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Q. What is the length of an arc of a circle with a radius of 10 cm and a central angle of 60 degrees? (Use π = 3.14) (2023)
-
A.
10.47 cm
-
B.
15.71 cm
-
C.
20.94 cm
-
D.
25.13 cm
Solution
Arc length = (θ/360) * 2πr = (60/360) * 2 * 3.14 * 10 = 10.47 cm.
Correct Answer: A — 10.47 cm
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Q. What is the length of an arc of a circle with a radius of 4 cm and a central angle of 90 degrees? (2021)
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A.
2π cm
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B.
4π cm
-
C.
π cm
-
D.
8 cm
Solution
Arc length = (θ/360) * 2πr = (90/360) * 2π * 4 = 2π cm.
Correct Answer: A — 2π cm
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Q. What is the length of an arc of a circle with a radius of 5 cm and a central angle of 60 degrees? (2020)
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A.
5.24 cm
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B.
3.14 cm
-
C.
5.00 cm
-
D.
10.47 cm
Solution
Arc length = (θ/360) * 2πr = (60/360) * 2π(5) = (1/6) * 10π ≈ 5.24 cm.
Correct Answer: A — 5.24 cm
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Q. What is the length of an arc of a circle with a radius of 6 cm and a central angle of 60 degrees? (Use π = 3.14) (2020)
-
A.
6.28 cm
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B.
3.14 cm
-
C.
12.56 cm
-
D.
9.42 cm
Solution
Arc length = (θ/360) * 2πr = (60/360) * 2 * 3.14 * 6 cm = 6.28 cm.
Correct Answer: A — 6.28 cm
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Q. What is the length of an arc of a circle with radius 5 cm and angle 60 degrees? (2020)
-
A.
5.24 cm
-
B.
3.14 cm
-
C.
5.00 cm
-
D.
6.00 cm
Solution
Arc length = (θ/360) * 2πr = (60/360) * 2 * π * 5 = 5.24 cm.
Correct Answer: A — 5.24 cm
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Q. What is the length of the diagonal of a cuboid with dimensions 2, 3, and 6? (2022)
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A.
√49
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B.
√45
-
C.
√36
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D.
√50
Solution
Diagonal = √(2² + 3² + 6²) = √(4 + 9 + 36) = √49 = 7.
Correct Answer: A — √49
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Q. What is the length of the diagonal of a rectangle with vertices at (0, 0), (0, 3), (4, 0), and (4, 3)? (2022)
Solution
Diagonal = √[(4-0)² + (3-0)²] = √[16 + 9] = √25 = 5.
Correct Answer: A — 5
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Q. What is the length of the diagonal of a rectangle with vertices at (0, 0), (4, 0), (4, 3), and (0, 3)? (2021)
Solution
Length of diagonal = √[(4-0)² + (3-0)²] = √[16 + 9] = √25 = 5.
Correct Answer: A — 5
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Q. What is the length of the diagonal of a rectangle with vertices at (1, 1), (1, 4), (5, 1), and (5, 4)? (2021)
Solution
Diagonal length = √[(5-1)² + (4-1)²] = √[16 + 9] = √25 = 5.
Correct Answer: B — 5
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Q. What is the magnetic field at a distance r from a long straight wire carrying current I? (2020)
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A.
μ₀I/(2πr)
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B.
μ₀I/(4πr)
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C.
μ₀I/(πr)
-
D.
μ₀I/(8πr)
Solution
The magnetic field around a long straight wire is given by B = (μ₀I)/(2πr).
Correct Answer: A — μ₀I/(2πr)
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Q. What is the magnetic field at the center of a circular loop carrying current? (2022)
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A.
Zero
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B.
Directly proportional to current
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C.
Inversely proportional to radius
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D.
Both A and B
Solution
The magnetic field at the center of a circular loop carrying current is directly proportional to the current and inversely proportional to the radius.
Correct Answer: B — Directly proportional to current
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Q. What is the magnetic field inside a long solenoid when it carries a current? (2023)
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A.
Zero
-
B.
Uniform and directed along the axis
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C.
Varies with distance
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D.
Depends on the temperature
Solution
The magnetic field inside a long solenoid is uniform and directed along the axis of the solenoid when it carries a current.
Correct Answer: B — Uniform and directed along the axis
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Q. What is the magnetic field inside a long solenoid when the current is flowing through it? (2023)
-
A.
Zero
-
B.
Uniform and parallel
-
C.
Concentric circles
-
D.
Radial
Solution
The magnetic field inside a long solenoid is uniform and parallel to the axis of the solenoid.
Correct Answer: B — Uniform and parallel
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Q. What is the magnetic field inside a long solenoid when the current is steady? (2023)
-
A.
Zero
-
B.
Uniform and parallel to the axis
-
C.
Varies with distance
-
D.
Depends on the temperature
Solution
The magnetic field inside a long solenoid is uniform and parallel to the axis of the solenoid when the current is steady.
Correct Answer: B — Uniform and parallel to the axis
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Q. What is the magnetic field inside a long solenoid? (2023)
-
A.
Zero
-
B.
Uniform and parallel
-
C.
Concentric circles
-
D.
Decreasing
Solution
The magnetic field inside a long solenoid is uniform and parallel to the axis of the solenoid.
Correct Answer: B — Uniform and parallel
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Q. What is the main characteristic of elastomers?
-
A.
Brittle
-
B.
Elastic
-
C.
Rigid
-
D.
Transparent
Solution
Elastomers are characterized by their elastic properties, allowing them to stretch and return to their original shape.
Correct Answer: B — Elastic
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Q. What is the main component of natural rubber?
-
A.
Polyisoprene
-
B.
Polystyrene
-
C.
Polyethylene
-
D.
Polyvinyl acetate
Solution
Natural rubber is primarily composed of polyisoprene, which is derived from latex.
Correct Answer: A — Polyisoprene
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Q. What is the main function of lipids in the body?
-
A.
Energy storage
-
B.
Genetic information
-
C.
Structural support
-
D.
Transport
Solution
Lipids serve as a major form of energy storage in the body.
Correct Answer: A — Energy storage
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Q. What is the main product of the combustion of hydrocarbons? (2023) 2023
-
A.
Oxygen
-
B.
Water
-
C.
Carbon Dioxide
-
D.
Nitrogen
Solution
The main products of the combustion of hydrocarbons are water (H2O) and carbon dioxide (CO2).
Correct Answer: C — Carbon Dioxide
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Q. What is the main product of the complete combustion of ethane (C2H6)? (2023)
-
A.
Carbon dioxide and water
-
B.
Carbon monoxide and water
-
C.
Soot and water
-
D.
Hydrogen gas
Solution
The complete combustion of ethane produces carbon dioxide and water as the main products.
Correct Answer: A — Carbon dioxide and water
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