Q. What is the specific heat capacity of water? (2021) 2021
A.
1 J/g°C
B.
4.18 J/g°C
C.
2 J/g°C
D.
0.9 J/g°C
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Solution
The specific heat capacity of water is approximately 4.18 J/g°C.
Correct Answer:
B
— 4.18 J/g°C
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Q. What is the speed of light in vacuum? (2020)
A.
3 x 10^8 m/s
B.
3 x 10^6 m/s
C.
3 x 10^7 m/s
D.
3 x 10^9 m/s
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Solution
The speed of light in vacuum is approximately 3 x 10^8 m/s.
Correct Answer:
A
— 3 x 10^8 m/s
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Q. What is the square of the modulus of the complex number 1 + 2i? (2014)
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Solution
The modulus is √(1^2 + 2^2) = √(1 + 4) = √5. The square of the modulus is 5.
Correct Answer:
A
— 5
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Q. What is the square of the modulus of the complex number 1 + i? (2020)
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Solution
The modulus is √(1^2 + 1^2) = √2, and the square of the modulus is 2.
Correct Answer:
A
— 2
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Q. What is the square root of 64? (2020)
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Solution
The square root of 64 is 8.
Correct Answer:
C
— 8
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Q. What is the square root of the complex number -1? (2021)
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Solution
The square root of -1 is defined as i.
Correct Answer:
A
— i
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Q. What is the square root of the complex number -4? (2020)
A.
2i
B.
-2i
C.
4i
D.
-4i
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Solution
The square root of -4 is √(-1) * √4 = 2i.
Correct Answer:
A
— 2i
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Q. What is the standard electrode potential of the half-reaction Zn²⁺ + 2e⁻ → Zn?
A.
0.76 V
B.
0.34 V
C.
-0.76 V
D.
-0.34 V
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Solution
The standard electrode potential for Zn²⁺/Zn is -0.76 V.
Correct Answer:
C
— -0.76 V
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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
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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 standard enthalpy change (ΔH°) for the formation of water from its elements? (2022)
A.
-285.83 kJ/mol
B.
0 kJ/mol
C.
285.83 kJ/mol
D.
-241.82 kJ/mol
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Solution
The standard enthalpy change for the formation of water from its elements (H2 and O2) is -285.83 kJ/mol.
Correct Answer:
A
— -285.83 kJ/mol
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Q. What is the standard enthalpy change (ΔH°) for the reaction: C(s) + O2(g) → CO2(g)? (2022)
A.
It is always positive.
B.
It is always negative.
C.
It can be zero.
D.
It depends on the temperature.
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Solution
The standard enthalpy change for combustion reactions, such as the formation of CO2 from carbon and oxygen, is typically negative, indicating that the reaction is exothermic.
Correct Answer:
B
— It is always negative.
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Q. What is the standard reduction potential of a half-reaction? (2022)
A.
The tendency to gain electrons
B.
The tendency to lose electrons
C.
The energy released during oxidation
D.
The energy absorbed during reduction
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Solution
The standard reduction potential indicates the tendency of a species to gain electrons, thus being reduced.
Correct Answer:
A
— The tendency to gain electrons
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Q. What is the standard reduction potential of the half-reaction Cu2+ + 2e- → Cu? (2022)
A.
+0.34 V
B.
+0.76 V
C.
-0.34 V
D.
-0.76 V
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Solution
The standard reduction potential for the half-reaction Cu2+ + 2e- → Cu is +0.76 V, indicating a strong tendency to gain electrons.
Correct Answer:
B
— +0.76 V
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Q. What is the standard reduction potential of the half-reaction Fe^3+ + 3e- → Fe? (2022)
A.
+0.77 V
B.
+0.44 V
C.
-0.77 V
D.
-0.44 V
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Solution
The standard reduction potential for the half-reaction Fe^3+ + 3e- → Fe is +0.77 V, indicating a strong tendency to gain electrons.
Correct Answer:
A
— +0.77 V
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Q. What is the standard temperature and pressure (STP) in Kelvin and atm? (2020)
A.
0 K and 1 atm
B.
273 K and 1 atm
C.
100 K and 1 atm
D.
273 K and 0 atm
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Solution
Standard temperature and pressure (STP) is defined as 273 K and 1 atm.
Correct Answer:
B
— 273 K and 1 atm
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Q. What is the standard unit of time in the SI system? (2020)
A.
Minute
B.
Hour
C.
Second
D.
Day
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Solution
The standard unit of time in the SI system is the second (s).
Correct Answer:
C
— Second
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Q. What is the structure of a nucleotide?
A.
Sugar, phosphate, and base
B.
Amino group, carboxyl group, and side chain
C.
Glycerol and fatty acids
D.
Monosaccharides
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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 structure of DNA described as? (2022)
A.
Single helix
B.
Double helix
C.
Triple helix
D.
Linear strand
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Solution
DNA is described as a double helix, consisting of two strands that wind around each other.
Correct Answer:
B
— Double helix
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Q. What is the structure of DNA primarily composed of? (2023)
A.
Amino acids
B.
Nucleotides
C.
Fatty acids
D.
Monosaccharides
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Solution
DNA is composed of nucleotides, which include a sugar, phosphate, and nitrogenous base.
Correct Answer:
B
— Nucleotides
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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
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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
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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 (3x - 2)^4? (2023)
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Solution
To find the sum of the coefficients, substitute x = 1. Thus, (3(1) - 2)^4 = (3 - 2)^4 = 1^4 = 1.
Correct Answer:
B
— 81
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Q. What is the sum of the coefficients in the expansion of (x + 2)^5? (2021)
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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
B.
4 + 2i
C.
2 - 2i
D.
2 + 2i
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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
Show solution
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)
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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)
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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?
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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
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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
C.
310 K
D.
325 K
Show solution
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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