Q. What is the minimum energy required to remove an electron from a metal surface with a work function of 2 eV? (2021)
A.
1 eV
B.
2 eV
C.
3 eV
D.
4 eV
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Solution
The minimum energy required is equal to the work function, which is 2 eV.
Correct Answer: B — 2 eV
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Q. What is the minimum thickness of a soap bubble for which the first order of constructive interference occurs for light of wavelength λ? (2019)
A.
λ/4
B.
λ/2
C.
λ
D.
3λ/4
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Solution
For constructive interference in a soap bubble, the minimum thickness should be λ/4, accounting for the phase change upon reflection.
Correct Answer: A — λ/4
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Q. What is the minimum value of f(x) = 3x^2 - 12x + 12? (2021)
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Solution
The vertex occurs at x = 2. f(2) = 3(2^2) - 12(2) + 12 = 0.
Correct Answer: B — 3
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Q. What is the minimum value of f(x) = 3x^2 - 12x + 7? (2022)
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Solution
The vertex occurs at x = 2. f(2) = -5.
Correct Answer: A — -5
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Q. What is the minimum value of f(x) = 3x^2 - 12x + 9? (2022)
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Solution
The vertex occurs at x = 2. f(2) = 3(2^2) - 12(2) + 9 = 0.
Correct Answer: B — 1
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Q. What is the minimum value of f(x) = x^2 - 4x + 5? (2020)
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Solution
The vertex form gives the minimum at x = 2. f(2) = 2.
Correct Answer: A — 1
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Q. What is the minimum value of f(x) = x^2 - 4x + 6? (2022)
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Solution
The vertex occurs at x = 2. f(2) = 2.
Correct Answer: B — 3
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Q. What is the minimum value of f(x) = x^2 - 4x + 7? (2023)
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Solution
The vertex form gives the minimum at x = 2. f(2) = 2, thus minimum value is 3.
Correct Answer: A — 3
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Q. What is the minimum value of f(x) = x^2 - 6x + 10? (2020)
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Solution
The vertex form gives the minimum at x = 3. f(3) = 3^2 - 6(3) + 10 = 1.
Correct Answer: A — 4
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Q. What is the minimum value of the function f(x) = 4x^2 - 16x + 20? (2021)
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Solution
The vertex gives the minimum at x = 2. f(2) = 4(2^2) - 16(2) + 20 = 4.
Correct Answer: B — 5
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Q. What is the minimum value of the function f(x) = 4x^2 - 16x + 20? (2021) 2021
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Solution
The vertex occurs at x = 2. f(2) = 4(2^2) - 16(2) + 20 = 4.
Correct Answer: B — 5
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Q. What is the modulus of the complex number 3 + 4i? (2023)
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Solution
The modulus is calculated as √(3^2 + 4^2) = √(9 + 16) = √25 = 5.
Correct Answer: A — 5
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Q. What is the molality of a solution made by dissolving 10 moles of solute in 5 kg of solvent? (2022)
A.
2 m
B.
1 m
C.
0.5 m
D.
3 m
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Solution
Molality (m) = moles of solute / kg of solvent = 10 moles / 5 kg = 2 m.
Correct Answer: A — 2 m
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Q. What is the molar mass of water (H2O)? (2023) 2023
A.
16 g/mol
B.
18 g/mol
C.
20 g/mol
D.
22 g/mol
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Solution
The molar mass of water is calculated as follows: H (1 g/mol) x 2 + O (16 g/mol) = 2 + 16 = 18 g/mol.
Correct Answer: B — 18 g/mol
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Q. What is the molarity of a solution containing 5 moles of solute in 2 liters of solution? (2021) 2021
A.
2.5 M
B.
5 M
C.
10 M
D.
1 M
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Solution
Molarity (M) = moles of solute / liters of solution = 5 moles / 2 L = 2.5 M.
Correct Answer: A — 2.5 M
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Q. What is the molarity of a solution containing 58.5 g of NaCl in 1 liter of solution? (2021)
A.
1 M
B.
0.5 M
C.
2 M
D.
0.1 M
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Solution
Molarity (M) = moles of solute / liters of solution. Moles of NaCl = 58.5 g / 58.5 g/mol = 1 mol. Therefore, M = 1 mol / 1 L = 1 M.
Correct Answer: A — 1 M
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Q. What is the molarity of a solution prepared by dissolving 5 grams of NaCl in enough water to make 250 mL of solution? (Molar mass of NaCl = 58.5 g/mol) (2023)
A.
0.34 M
B.
0.42 M
C.
0.25 M
D.
0.50 M
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Solution
Molarity (M) = moles of solute / liters of solution. Moles of NaCl = 5 g / 58.5 g/mol = 0.0855 moles. Volume of solution = 250 mL = 0.250 L. M = 0.0855 moles / 0.250 L = 0.342 M, approximately 0.34 M.
Correct Answer: A — 0.34 M
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Q. What is the molecular formula of Benzoic acid?
A.
C6H5COOH
B.
C7H6O2
C.
C6H6O
D.
C6H4O2
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Solution
The molecular formula of Benzoic acid is C7H6O2.
Correct Answer: B — C7H6O2
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Q. What is the molecular formula of butan-2-one?
A.
C4H8O
B.
C4H10O
C.
C4H6O
D.
C4H12O
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Solution
The molecular formula of butan-2-one is C4H8O.
Correct Answer: A — C4H8O
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Q. What is the molecular formula of butanoic acid?
A.
C3H6O2
B.
C4H8O2
C.
C5H10O2
D.
C6H12O2
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Solution
The molecular formula of butanoic acid is C4H8O2.
Correct Answer: B — C4H8O2
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Q. What is the molecular formula of cyclohexane? (2022)
A.
C6H12
B.
C6H10
C.
C6H14
D.
C6H6
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Solution
Cyclohexane is a cyclic alkane with the formula C6H12.
Correct Answer: A — C6H12
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Q. What is the molecular formula of ethyne? (2022)
A.
C2H2
B.
C2H4
C.
C2H6
D.
C3H4
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Solution
Ethyne, also known as acetylene, has the molecular formula C2H2.
Correct Answer: A — C2H2
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Q. What is the molecular formula of formaldehyde?
A.
C2H4O
B.
CH2O
C.
C3H6O
D.
C4H8O
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Solution
The molecular formula of formaldehyde is CH2O.
Correct Answer: B — CH2O
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Q. What is the molecular formula of glucose? (2022)
A.
C6H12O6
B.
C5H10O5
C.
C6H10O5
D.
C6H14O6
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Solution
Glucose is a simple sugar with the molecular formula C6H12O6.
Correct Answer: A — C6H12O6
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Q. What is the molecular formula of glucose? (2022) 2022
A.
C6H12O6
B.
C5H10O5
C.
C6H10O5
D.
C6H14O6
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Solution
Glucose is a simple sugar with the molecular formula C6H12O6.
Correct Answer: A — C6H12O6
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Q. What is the molecular formula of the simplest alkyne? (2022)
A.
C2H2
B.
C2H4
C.
C3H4
D.
C3H6
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Solution
The simplest alkyne is ethyne (acetylene) with the molecular formula C2H2.
Correct Answer: A — C2H2
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Q. What is the momentum of a 3 kg object moving at a velocity of 4 m/s? (2017)
A.
12 kg·m/s
B.
7 kg·m/s
C.
15 kg·m/s
D.
10 kg·m/s
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Solution
Momentum (p) = mass × velocity = 3 kg × 4 m/s = 12 kg·m/s.
Correct Answer: A — 12 kg·m/s
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Q. What is the monomer of nucleic acids? (2023)
A.
Amino acid
B.
Nucleotide
C.
Monosaccharide
D.
Fatty acid
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Solution
Nucleotides are the monomers that make up nucleic acids.
Correct Answer: B — Nucleotide
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Q. What is the monomer of polyethylene?
A.
Ethylene
B.
Propylene
C.
Butylene
D.
Styrene
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Solution
Polyethylene is made from the polymerization of ethylene monomers.
Correct Answer: A — Ethylene
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Q. What is the monomer of polystyrene?
A.
Ethylene
B.
Styrene
C.
Propylene
D.
Vinyl chloride
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Solution
The monomer of polystyrene is styrene, which polymerizes to form polystyrene.
Correct Answer: B — Styrene
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