Q. What is the oxidation state of sulfur in H2SO4?
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Solution
In H2SO4, the oxidation state of sulfur is +6.
Correct Answer:
C
— +6
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Q. What is the oxidation state of sulfur in H2SO4? (2021) 2021
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Solution
In H2SO4, the oxidation state of sulfur is +6. Each hydrogen is +1 and each oxygen is -2, leading to the equation: 2(+1) + x + 4(-2) = 0, solving gives x = +6.
Correct Answer:
A
— +6
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Q. What is the oxidation state of sulfur in H2SO4? (2023) 2023
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Solution
In H2SO4, the oxidation state of sulfur is +6.
Correct Answer:
C
— +6
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Q. What is the oxidation state of Uranium in Uranium Hexafluoride (UF6)?
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Solution
In UF6, Uranium is in the +6 oxidation state as it forms six bonds with fluorine.
Correct Answer:
B
— +6
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Q. What is the packing efficiency of a body-centered cubic (BCC) structure? (2020)
A.
52%
B.
68%
C.
74%
D.
100%
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Solution
The packing efficiency of a body-centered cubic (BCC) structure is approximately 68%.
Correct Answer:
B
— 68%
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Q. What is the particular solution of dy/dx = 4x with the initial condition y(0) = 1?
A.
y = 2x^2 + 1
B.
y = 4x^2 + 1
C.
y = 2x^2
D.
y = 4x^2 + C
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Solution
Integrating gives y = 2x^2 + C. Using the initial condition, C = 1.
Correct Answer:
A
— y = 2x^2 + 1
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Q. What is the particular solution of dy/dx = 4y with the initial condition y(0) = 2?
A.
y = 2e^(4x)
B.
y = e^(4x)
C.
y = 4e^(4x)
D.
y = 2e^(x)
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Solution
The general solution is y = Ce^(4x). Using the initial condition y(0) = 2, we find C = 2, thus y = 2e^(4x).
Correct Answer:
A
— y = 2e^(4x)
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Q. What is the particular solution of the equation dy/dx = 2y with the initial condition y(0) = 1?
A.
y = e^(2x)
B.
y = e^(2x) + 1
C.
y = 1 + e^(2x)
D.
y = 1 + 2x
Show solution
Solution
The general solution is y = Ce^(2x). Using the initial condition y(0) = 1, we find C = 1.
Correct Answer:
A
— y = e^(2x)
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Q. What is the particular solution of the equation dy/dx = 2y with y(0) = 5?
A.
y = 5e^(2x)
B.
y = 2e^(2x)
C.
y = 5e^(-2x)
D.
y = 5 + 2x
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Solution
The general solution is y = Ce^(2x). Using y(0) = 5 gives C = 5.
Correct Answer:
A
— y = 5e^(2x)
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Q. What is the past tense of 'run'? (2021)
A.
Runed
B.
Ran
C.
Runned
D.
Running
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Solution
The past tense of 'run' is 'ran'.
Correct Answer:
B
— Ran
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Q. What is the past tense of 'to lie' (to recline)?
A.
lied
B.
lay
C.
lain
D.
layed
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Solution
The past tense of 'to lie' (to recline) is 'lay'.
Correct Answer:
B
— lay
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Q. What is the path difference for light waves from two coherent sources at an angle of 45° to the line joining them?
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Solution
Path difference = d sin θ = d sin(45°) = d(√2/2). For d = λ, path difference = √2λ.
Correct Answer:
C
— √2λ
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Q. What is the path difference for light waves from two coherent sources at an angle of 45° to the line joining the sources at a distance of 1 m?
A.
0.5 m
B.
0.707 m
C.
1 m
D.
0.25 m
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Solution
Path difference = d sin θ = 1 m * sin(45°) = 1 m * √2/2 = 0.707 m.
Correct Answer:
B
— 0.707 m
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Q. What is the path difference for the first minimum in a double-slit experiment?
A.
λ/2
B.
λ
C.
3λ/2
D.
2λ
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Solution
The path difference for the first minimum is λ/2, which leads to destructive interference.
Correct Answer:
A
— λ/2
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Q. What is the path difference for the first minimum in a single-slit diffraction pattern? (2021)
A.
λ/2
B.
λ
C.
3λ/2
D.
λ/4
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Solution
The path difference for the first minimum in single-slit diffraction is λ/2.
Correct Answer:
A
— λ/2
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Q. What is the peak voltage of an AC source if its RMS voltage is 220 V? (2021)
A.
311 V
B.
220 V
C.
155 V
D.
440 V
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Solution
The peak voltage (V_peak) is related to the RMS voltage (V_rms) by the formula V_peak = V_rms × √2. Therefore, V_peak = 220 V × √2 ≈ 311 V.
Correct Answer:
A
— 311 V
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Q. What is the peak voltage of an AC supply if its RMS voltage is 220 V? (2021)
A.
311 V
B.
220 V
C.
155 V
D.
440 V
Show solution
Solution
The peak voltage (V_peak) is related to the RMS voltage (V_rms) by the formula V_peak = V_rms × √2. Therefore, V_peak = 220 V × √2 ≈ 311 V.
Correct Answer:
A
— 311 V
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Q. What is the percentage by mass of a solution containing 15 grams of solute in 85 grams of solvent? (2021)
A.
15%
B.
17.65%
C.
20%
D.
25%
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Solution
Percentage by mass = (mass of solute / total mass) × 100 = (15 g / (15 g + 85 g)) × 100 = 17.65%.
Correct Answer:
B
— 17.65%
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Q. What is the percentage by mass of a solution containing 20 grams of solute in 180 grams of solution?
A.
10%
B.
20%
C.
15%
D.
25%
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Solution
Percentage by mass = (mass of solute / mass of solution) * 100 = (20 g / (20 g + 180 g)) * 100 = 20%.
Correct Answer:
B
— 20%
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Q. What is the percentage by mass of a solution containing 5 g of NaCl in 95 g of water?
A.
5%
B.
10%
C.
15%
D.
20%
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Solution
Percentage by mass = (mass of solute / total mass) × 100 = (5 g / (5 g + 95 g)) × 100 = 5%.
Correct Answer:
A
— 5%
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Q. What is the percentage composition of carbon in glucose (C6H12O6)?
A.
40%
B.
50%
C.
60%
D.
30%
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Solution
Molar mass of glucose = 6(12) + 12(1) + 6(16) = 180 g. Percentage of carbon = (72/180) x 100 = 40%.
Correct Answer:
A
— 40%
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Q. What is the percentage concentration of a solution containing 15 g of solute in 150 g of solution? (2023)
A.
10%
B.
15%
C.
20%
D.
25%
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Solution
Percentage concentration = (mass of solute / mass of solution) × 100 = (15 g / 150 g) × 100 = 10%
Correct Answer:
B
— 15%
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Q. What is the percentage concentration of a solution containing 20 g of solute in 200 g of solution? (2021)
A.
10%
B.
20%
C.
5%
D.
15%
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Solution
Percentage concentration = (mass of solute / mass of solution) × 100 = (20 g / 200 g) × 100 = 10%.
Correct Answer:
A
— 10%
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Q. What is the percentage error if the measured value is 10.0 and the true value is 9.5? (2021)
A.
5.26%
B.
4.76%
C.
2.5%
D.
10%
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Solution
Percentage error = (|Measured - True| / True) × 100 = (|10.0 - 9.5| / 9.5) × 100 = 5.26%.
Correct Answer:
B
— 4.76%
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Q. What is the percentage error if the measured value is 20 and the true value is 25? (2021)
A.
20%
B.
25%
C.
5%
D.
10%
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Solution
Percentage error is calculated as (|True Value - Measured Value| / True Value) * 100 = (|25 - 20| / 25) * 100 = 20%.
Correct Answer:
D
— 10%
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Q. What is the percentage error if the measured value is 20.0 and the true value is 19.5? (2021)
A.
2.56%
B.
1.25%
C.
3.33%
D.
5.00%
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Solution
Percentage error = (|Measured - True| / True) × 100 = (|20.0 - 19.5| / 19.5) × 100 ≈ 2.56%.
Correct Answer:
A
— 2.56%
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Q. What is the percentage error if the true value is 50 and the measured value is 48? (2022)
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Solution
Percentage error = |(True value - Measured value) / True value| * 100 = |(50 - 48) / 50| * 100 = 4%.
Correct Answer:
A
— 4%
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Q. What is the percentage increase in sales of Product A from Q1 to Q3?
A.
20%
B.
25%
C.
30%
D.
35%
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Solution
The percentage increase in sales of Product A from Q1 to Q3 is 25%.
Correct Answer:
B
— 25%
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Q. What is the perimeter of a rectangle with a length of 8 units and a width of 3 units?
A.
22 units
B.
24 units
C.
20 units
D.
18 units
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Solution
Perimeter = 2 * (length + width) = 2 * (8 + 3) = 22 units.
Correct Answer:
A
— 22 units
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Q. What is the perimeter of a rectangle with length 10 cm and width 5 cm? (2021)
A.
30 cm
B.
25 cm
C.
20 cm
D.
15 cm
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Solution
The perimeter of a rectangle is given by P = 2(length + width). Here, P = 2(10 + 5) = 30 cm.
Correct Answer:
B
— 25 cm
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