Q. What is the mass of 3 moles of NaCl? (2020) 2020
A.
87 g
B.
58.5 g
C.
174 g
D.
3 g
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Solution
Molar mass of NaCl = 23 + 35.5 = 58.5 g/mol. Mass = moles x molar mass = 3 moles x 58.5 g/mol = 174 g.
Correct Answer: C — 174 g
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Q. What is the mass of 3 moles of sodium chloride (NaCl)? (2023)
A.
58.5 g
B.
117 g
C.
175.5 g
D.
29.25 g
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Solution
The molar mass of NaCl is 58.5 g/mol. Therefore, 3 moles of NaCl weigh 3 x 58.5 g = 175.5 g.
Correct Answer: B — 117 g
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Q. What is the mass of NaOH required to prepare 0.5 L of a 1 M solution? (2023)
A.
20 g
B.
40 g
C.
10 g
D.
30 g
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Solution
Molar mass of NaOH = 40 g/mol; grams = moles × molar mass = (1 mole/L × 0.5 L) × 40 g/mol = 20 g
Correct Answer: B — 40 g
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Q. What is the mass of solute in grams in a 3 M solution of NaCl in 1 L of solution? (2023)
A.
58.44 g
B.
174.32 g
C.
29.22 g
D.
87.16 g
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Solution
Molar mass of NaCl = 58.44 g/mol; mass = moles × molar mass = 3 moles × 58.44 g/mol = 175.32 g
Correct Answer: B — 174.32 g
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Q. What is the mass of solute in grams required to make 1 L of a 0.1 M solution of NaCl? (Molar mass of NaCl = 58.5 g/mol) (2021)
A.
5.85 g
B.
10 g
C.
1 g
D.
2 g
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Solution
Mass = moles × molar mass = (0.1 moles/L × 1 L) × 58.5 g/mol = 5.85 g.
Correct Answer: A — 5.85 g
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Q. What is the mass of solute in grams required to make 1 L of a 0.5 M NaOH solution? (2021)
A.
20 g
B.
40 g
C.
10 g
D.
30 g
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Solution
Molar mass of NaOH = 40 g/mol. Mass = moles × molar mass = 0.5 moles × 40 g/mol = 20 g.
Correct Answer: B — 40 g
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Q. What is the mass percent of a solution containing 10 g of solute in 90 g of solvent?
A.
10%
B.
90%
C.
50%
D.
20%
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Solution
Mass percent = (mass of solute / total mass of solution) x 100 = (10 g / (10 g + 90 g)) x 100 = 10%
Correct Answer: A — 10%
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Q. What is the maximum area of a triangle with a base of 10 cm and height as a function of x? (2020)
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Solution
Area = 1/2 * base * height = 1/2 * 10 * x. Max area occurs when x = 10, giving Area = 50.
Correct Answer: B — 50
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Q. What is the maximum area of a triangle with a base of 10 cm and height varying with x? (2021)
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Solution
Area = 1/2 * base * height. Max area occurs when height is maximized, thus Area = 1/2 * 10 * 10 = 50.
Correct Answer: B — 50
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Q. What is the maximum area of a triangle with a base of 10 units and height as a function of x? (2020)
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Solution
Area = 1/2 * base * height = 5h. Max area occurs when h = 10, giving area = 50.
Correct Answer: B — 50
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Q. What is the maximum displacement from the mean position in simple harmonic motion called? (2022)
A.
Amplitude
B.
Frequency
C.
Period
D.
Wavelength
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Solution
The maximum displacement from the mean position in simple harmonic motion is called the amplitude.
Correct Answer: A — Amplitude
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Q. What is the maximum displacement of a mass-spring system oscillating with an amplitude of 0.3 m? (2023)
A.
0.1 m
B.
0.2 m
C.
0.3 m
D.
0.4 m
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Solution
The maximum displacement in a mass-spring system is defined as the amplitude, which is given as 0.3 m.
Correct Answer: C — 0.3 m
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Q. What is the maximum displacement of a simple harmonic oscillator called? (2022)
A.
Amplitude
B.
Frequency
C.
Wavelength
D.
Period
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Solution
The maximum displacement from the mean position in simple harmonic motion is called amplitude.
Correct Answer: A — Amplitude
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Q. What is the maximum height of the projectile modeled by h(t) = -16t^2 + 32t + 48? (2023)
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Solution
The maximum height occurs at t = -b/(2a) = 1. h(1) = 64.
Correct Answer: B — 64
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Q. What is the maximum height of the projectile modeled by h(t) = -16t^2 + 64t + 48? (2021)
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Solution
The maximum height occurs at t = -b/(2a) = -64/(2*-16) = 2. h(2) = -16(2^2) + 64(2) + 48 = 80.
Correct Answer: B — 64
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Q. What is the maximum number of bright fringes observed in a double-slit experiment if the wavelength of light is 500 nm and the distance between the slits is 0.1 mm? (2020)
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Solution
The maximum number of bright fringes is given by the formula n = d/λ. Here, n = 0.1 mm / 500 nm = 200, which means 20 bright fringes can be observed on either side of the central maximum.
Correct Answer: C — 20
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Q. What is the maximum number of bright fringes that can be observed in a double-slit experiment with a given wavelength? (2023)
A.
Depends on the slit width
B.
Depends on the distance to the screen
C.
Depends on the wavelength and slit separation
D.
Always infinite
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Solution
The maximum number of bright fringes depends on the wavelength and the slit separation, as it determines how many integer multiples of the wavelength fit within the observable range.
Correct Answer: C — Depends on the wavelength and slit separation
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Q. What is the maximum number of electrons in the d subshell? (2022) 2022
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Solution
The d subshell can hold a maximum of 10 electrons.
Correct Answer: C — 10
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Q. What is the maximum number of electrons in the f-subshell? (2022)
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Solution
The f-subshell can hold a maximum of 14 electrons.
Correct Answer: C — 14
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Q. What is the maximum number of electrons that can be accommodated in the d subshell? (2019)
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Solution
The d subshell can hold a maximum of 10 electrons.
Correct Answer: C — 10
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Q. What is the maximum number of electrons that can be accommodated in the p subshell? (2023)
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Solution
The p subshell can hold a maximum of 6 electrons.
Correct Answer: B — 6
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Q. What is the maximum number of electrons that can occupy the n=3 energy level in an atom? (2021)
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Solution
The maximum number of electrons in an energy level is given by the formula 2n². For n=3, it is 2(3)² = 18.
Correct Answer: C — 18
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Q. What is the maximum number of electrons that can occupy the n=3 shell? (2021) 2021
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Solution
The maximum number of electrons in a shell is given by the formula 2n². For n=3, it is 2(3)² = 18.
Correct Answer: C — 18
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Q. What is the maximum number of electrons that can occupy the n=3 shell? (2022) 2022
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Solution
The maximum number of electrons in a shell is given by the formula 2n². For n=3, it is 2(3)² = 18.
Correct Answer: C — 18
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Q. What is the maximum number of electrons that can occupy the n=4 energy level? (2021)
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Solution
The maximum number of electrons in an energy level is given by 2n^2. For n=4, it is 2(4^2) = 32.
Correct Answer: B — 18
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Q. What is the maximum oxidation state of phosphorus in its compounds? (2021)
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Solution
Phosphorus can exhibit a maximum oxidation state of +5 in compounds like PCl5.
Correct Answer: B — +5
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Q. What is the maximum profit if the profit function is P(x) = -x^2 + 10x - 16? (2021)
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Solution
The maximum profit occurs at x = -b/(2a) = 10/2 = 5. P(5) = -5^2 + 10*5 - 16 = 9.
Correct Answer: C — 8
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Q. What is the maximum value of f(x) = -x^2 + 4x + 1? (2023)
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Solution
The vertex occurs at x = 2. f(2) = -2^2 + 4(2) + 1 = 5.
Correct Answer: A — 5
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Q. What is the maximum value of f(x) = -x^2 + 6x - 8? (2023)
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Solution
The vertex occurs at x = 3. f(3) = -9 + 18 - 8 = 1.
Correct Answer: C — 6
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Q. What is the minimum distance from the point (3, 4) to the line 2x + 3y - 6 = 0? (2023)
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Solution
Using the distance formula from a point to a line, the minimum distance is calculated to be 2 units.
Correct Answer: A — 2
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