Q. What is the standard electrode potential of the hydrogen electrode? (2023) 2023
-
A.
0 V
-
B.
1 V
-
C.
2 V
-
D.
0.5 V
Solution
The standard electrode potential of the hydrogen electrode is defined as 0 V.
Correct Answer: A — 0 V
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Q. What is the structure of a nucleotide?
-
A.
Sugar, phosphate, and base
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B.
Amino group, carboxyl group, and side chain
-
C.
Glycerol and fatty acids
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D.
Monosaccharides
Solution
A nucleotide consists of a sugar, a phosphate group, and a nitrogenous base.
Correct Answer: A — Sugar, phosphate, and base
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Q. What is the sum of the angles in a triangle? (2017)
-
A.
180 degrees
-
B.
360 degrees
-
C.
90 degrees
-
D.
270 degrees
Solution
The sum of the angles in a triangle is always 180 degrees.
Correct Answer: A — 180 degrees
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Q. What is the sum of the coefficients in the expansion of (2 + 3)^4? (2022)
-
A.
81
-
B.
64
-
C.
100
-
D.
125
Solution
The sum of the coefficients is (2 + 3)^4 = 5^4 = 625.
Correct Answer: A — 81
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Q. What is the sum of the coefficients in the expansion of (x + 2)^5? (2021)
Solution
The sum of the coefficients is found by substituting x=1. So, (1 + 2)^5 = 3^5 = 243.
Correct Answer: B — 64
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Q. What is the sum of the complex numbers 1 + 2i and 3 - 4i? (2023)
-
A.
4 - 2i
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B.
4 + 2i
-
C.
2 - 2i
-
D.
2 + 2i
Solution
(1 + 2i) + (3 - 4i) = (1 + 3) + (2 - 4)i = 4 - 2i.
Correct Answer: A — 4 - 2i
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Q. What is the sum of the complex numbers 3 + 2i and 1 - 4i? (2023)
-
A.
4 - 2i
-
B.
2 - 2i
-
C.
4 + 2i
-
D.
2 + 2i
Solution
(3 + 2i) + (1 - 4i) = (3 + 1) + (2 - 4)i = 4 - 2i.
Correct Answer: A — 4 - 2i
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Q. What is the sum of the roots of the equation 2x² - 4x + 1 = 0? (2023)
Solution
The sum of the roots is given by -b/a = 4/2 = 2.
Correct Answer: A — 2
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Q. What is the sum of the roots of the equation 3x² + 12x + 9 = 0? (2021)
Solution
The sum of the roots is given by -b/a = -12/3 = -4.
Correct Answer: A — -4
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Q. What is the symbol for Gold?
Solution
The symbol for Gold is Au.
Correct Answer: A — Au
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Q. What is the temperature in Celsius if the temperature in Kelvin is 273 K?
-
A.
0°C
-
B.
100°C
-
C.
-273°C
-
D.
273°C
Solution
To convert Kelvin to Celsius, use the formula: °C = K - 273. Therefore, 273 K - 273 = 0°C.
Correct Answer: A — 0°C
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Q. What is the temperature of a gas in Kelvin if its temperature in Celsius is 25°C? (2019)
-
A.
273 K
-
B.
298 K
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C.
310 K
-
D.
325 K
Solution
Temperature in Kelvin (K) = Temperature in Celsius (°C) + 273.15 = 25 + 273.15 = 298.15 K.
Correct Answer: B — 298 K
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Q. What is the term containing x^2 in the expansion of (3x - 4)^6?
-
A.
-1440
-
B.
720
-
C.
-720
-
D.
1440
Solution
The term containing x^2 is given by C(6,2) * (3x)^2 * (-4)^(6-2) = 15 * 9 * 256 = -1440.
Correct Answer: A — -1440
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Q. What is the term containing x^2 in the expansion of (x + 4)^6?
-
A.
240
-
B.
360
-
C.
480
-
D.
600
Solution
The term containing x^2 is given by C(6,2) * (4)^4 * (x)^2 = 15 * 256 * x^2 = 3840.
Correct Answer: C — 480
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Q. What is the term containing x^5 in the expansion of (2x + 3)^6?
-
A.
540
-
B.
720
-
C.
810
-
D.
900
Solution
The term containing x^5 occurs when k = 5. Using the binomial theorem, the term is C(6,5) * (2x)^5 * 3^1 = 6 * 32 * 3 = 576.
Correct Answer: B — 720
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Q. What is the term containing x^5 in the expansion of (2x - 3)^8?
-
A.
-6720
-
B.
6720
-
C.
-13440
-
D.
13440
Solution
The term containing x^5 occurs when k = 5. Using the binomial theorem, the term is C(8,5) * (2x)^5 * (-3)^3 = 56 * 32 * (-27) = -48384.
Correct Answer: A — -6720
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Q. What is the term for a solution that contains the maximum amount of solute that can dissolve at a given temperature? (2022)
-
A.
Unsaturated solution
-
B.
Saturated solution
-
C.
Supersaturated solution
-
D.
Concentrated solution
Solution
A saturated solution is one that contains the maximum amount of solute that can dissolve at a specific temperature.
Correct Answer: B — Saturated solution
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Q. What is the term for the energy required to change a substance from solid to liquid?
-
A.
Heat of fusion
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B.
Heat of vaporization
-
C.
Sublimation energy
-
D.
Latent heat
Solution
The heat of fusion is the energy required to change a substance from solid to liquid.
Correct Answer: A — Heat of fusion
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Q. What is the term for the energy required to separate an adsorbate from an adsorbent? (2023)
-
A.
Adsorption energy
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B.
Desorption energy
-
C.
Activation energy
-
D.
Bond energy
Solution
Desorption energy is the energy required to separate an adsorbate from an adsorbent.
Correct Answer: B — Desorption energy
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Q. What is the term for the maximum amount of solute that can be adsorbed on a surface? (2021)
-
A.
Saturation point
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B.
Adsorption capacity
-
C.
Equilibrium constant
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D.
Surface tension
Solution
The maximum amount of solute that can be adsorbed on a surface is referred to as the adsorption capacity.
Correct Answer: B — Adsorption capacity
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Q. What is the term for the process where a solid adsorbs a liquid or gas? (2022)
-
A.
Absorption
-
B.
Adsorption
-
C.
Desorption
-
D.
Sorption
Solution
Adsorption is the process where a solid attracts and holds molecules of a liquid or gas on its surface.
Correct Answer: B — Adsorption
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Q. What is the term independent of x in the expansion of (2x - 3)^8?
-
A.
-256
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B.
256
-
C.
-512
-
D.
512
Solution
The term independent of x is given by C(8,4) * (2x)^4 * (-3)^4 = 70 * 16 * 81 = -256.
Correct Answer: A — -256
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Q. What is the term independent of x in the expansion of (3x - 2)^6?
Solution
The term independent of x occurs when k = 3. Using the binomial theorem, the term is C(6,3) * (3x)^3 * (-2)^(6-3) = 20 * 27 * -8 = -4320.
Correct Answer: C — 40
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Q. What is the term used for the maximum amount of solute that can be adsorbed on a surface? (2023)
-
A.
Saturation point
-
B.
Adsorption isotherm
-
C.
Langmuir constant
-
D.
Adsorption capacity
Solution
The term 'adsorption capacity' refers to the maximum amount of solute that can be adsorbed on a surface under specific conditions.
Correct Answer: D — Adsorption capacity
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Q. What is the thermal conductivity of a material if a 1 m² area of it conducts 100 J of heat in 10 seconds with a temperature difference of 20°C?
-
A.
2 W/m°C
-
B.
5 W/m°C
-
C.
10 W/m°C
-
D.
20 W/m°C
Solution
Using the formula Q = kA(T1-T2)t, we find k = Q / (A(T1-T2)t) = 100 J / (1 m² * 20°C * 10 s) = 0.5 W/m°C.
Correct Answer: B — 5 W/m°C
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Q. What is the time period of a wave with a frequency of 20 Hz? (2022)
-
A.
0.05 s
-
B.
0.1 s
-
C.
0.2 s
-
D.
0.5 s
Solution
The time period T is the reciprocal of frequency, T = 1/f. Thus, T = 1/20 Hz = 0.05 s.
Correct Answer: B — 0.1 s
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Q. What is the total current flowing through a circuit with a 9V battery and a total resistance of 3Ω? (2022)
Solution
Using Ohm's law, I = V/R = 9V / 3Ω = 3A.
Correct Answer: B — 2A
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Q. What is the total current in a circuit with a 15V battery and two 5Ω resistors in series? (2023)
Solution
Total resistance R = 5Ω + 5Ω = 10Ω; I = V/R = 15V / 10Ω = 1.5A.
Correct Answer: B — 2A
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Q. What is the total current in a circuit with a voltage of 240V, resistance of 20 ohms, and inductive reactance of 30 ohms? (2022)
-
A.
8 A
-
B.
6 A
-
C.
4 A
-
D.
10 A
Solution
Z = √(R² + Xl²) = √(20² + 30²) = √(400 + 900) = √1300 = 36.06 ohms. I = V/Z = 240/36.06 = 6.66 A.
Correct Answer: B — 6 A
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Q. What is the total current in a circuit with two branches, one with 3A and the other with 2A? (2022)
Solution
In parallel circuits, the total current is the sum of the currents in each branch: I_total = 3A + 2A = 5A.
Correct Answer: A — 5A
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