Q. What is the specific heat capacity of water at constant pressure (C_p)? (2020)
A.
4.18 J/g°C
B.
2.09 J/g°C
C.
1.00 J/g°C
D.
3.00 J/g°C
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Solution
The specific heat capacity of water at constant pressure is approximately 4.18 J/g°C.
Correct Answer:
A
— 4.18 J/g°C
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Q. What is the specific heat capacity of water if 500 J of heat is required to raise the temperature of 100 g of water by 5°C?
A.
1 J/g°C
B.
2 J/g°C
C.
4 J/g°C
D.
5 J/g°C
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Solution
Specific heat capacity (c) = Q / (m * ΔT) = 500 J / (100 g * 5°C) = 1 J/g°C.
Correct Answer:
A
— 1 J/g°C
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Q. What is the specific heat capacity of water if it takes 4200 J to raise the temperature of 1 kg of water by 1°C? (2021)
A.
2100 J/kg°C
B.
4200 J/kg°C
C.
8400 J/kg°C
D.
1000 J/kg°C
Show solution
Solution
The specific heat capacity of water is defined as the amount of heat required to raise the temperature of 1 kg of water by 1°C, which is given as 4200 J/kg°C.
Correct Answer:
B
— 4200 J/kg°C
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Q. What is the specific heat capacity of water?
A.
1 J/g°C
B.
4.18 J/g°C
C.
2 J/g°C
D.
0.5 J/g°C
Show solution
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 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
Show solution
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 a wave on a string if the tension is 100 N and the mass per unit length is 0.5 kg/m?
A.
20 m/s
B.
10 m/s
C.
5 m/s
D.
15 m/s
Show solution
Solution
The speed v of a wave on a string is given by v = √(T/μ), where T is the tension and μ is the mass per unit length. Here, v = √(100/0.5) = √200 = 10 m/s.
Correct Answer:
A
— 20 m/s
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Q. What is the speed of a wave on a string if the tension is 100 N and the mass per unit length is 2 kg/m?
A.
5 m/s
B.
10 m/s
C.
15 m/s
D.
20 m/s
Show solution
Solution
The speed of a wave on a string is given by the formula v = sqrt(T/μ), where T is the tension and μ is the mass per unit length. Here, v = sqrt(100/2) = sqrt(50) = 10 m/s.
Correct Answer:
B
— 10 m/s
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Q. What is the speed of light in a medium with a refractive index of 1.5?
A.
2 x 10^8 m/s
B.
3 x 10^8 m/s
C.
1.5 x 10^8 m/s
D.
1 x 10^8 m/s
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Solution
The speed of light in a medium is given by c/n. Therefore, speed = 3 x 10^8 / 1.5 = 2 x 10^8 m/s.
Correct Answer:
A
— 2 x 10^8 m/s
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Q. What is the speed of light in a vacuum (in km/s)?
A.
300,000
B.
150,000
C.
450,000
D.
600,000
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Solution
The speed of light in a vacuum is approximately 300,000 km/s.
Correct Answer:
A
— 300,000
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Q. What is the speed of light in a vacuum?
A.
3 x 10^8 m/s
B.
3 x 10^6 m/s
C.
3 x 10^5 m/s
D.
3 x 10^7 m/s
Show solution
Solution
The speed of light in a 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 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
Show solution
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 speed of sound in air at 20°C?
A.
343 m/s
B.
330 m/s
C.
300 m/s
D.
350 m/s
Show solution
Solution
The speed of sound in air at 20°C is approximately 343 m/s.
Correct Answer:
A
— 343 m/s
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Q. What is the speed of sound in air at room temperature (20°C)?
A.
343 m/s
B.
300 m/s
C.
1500 m/s
D.
1200 m/s
Show solution
Solution
The speed of sound in air at 20°C is approximately 343 m/s.
Correct Answer:
A
— 343 m/s
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Q. What is the spin quantum number (m_s) for an electron in an orbital?
A.
0
B.
+1/2
C.
-1/2
D.
1
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Solution
The spin quantum number can be +1/2 or -1/2 for an electron in an orbital.
Correct Answer:
B
— +1/2
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Q. What is the spin quantum number (m_s) for an electron with a clockwise spin?
A.
-1/2
B.
0
C.
+1/2
D.
1
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Solution
The spin quantum number (m_s) is +1/2 for an electron with clockwise spin.
Correct Answer:
C
— +1/2
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Q. What is the spin quantum number (m_s) for an electron?
A.
0
B.
+1/2
C.
-1/2
D.
Both +1/2 and -1/2
Show solution
Solution
The spin quantum number (m_s) can be +1/2 or -1/2 for an electron.
Correct Answer:
D
— Both +1/2 and -1/2
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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 acceleration due to gravity in m/s²?
A.
9.8
B.
10
C.
9.81
D.
9.75
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Solution
The standard acceleration due to gravity is approximately 9.81 m/s².
Correct Answer:
C
— 9.81
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Q. What is the standard deviation of the data set {10, 12, 23, 23, 16, 23, 21, 16}?
Show solution
Solution
Mean = 19.5, Variance = 25, Standard Deviation = √25 = 5.
Correct Answer:
A
— 5
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Q. What is the standard deviation of the data set {10, 12, 23, 23, 16, 23, 21}?
A.
5.5
B.
4.5
C.
6.5
D.
3.5
Show solution
Solution
Mean = 19.14, Variance = 20.25, Standard Deviation = √20.25 = 4.5.
Correct Answer:
B
— 4.5
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Q. What is the standard deviation of the data set {4, 8, 6, 5, 3}?
A.
1.58
B.
2.58
C.
3.58
D.
4.58
Show solution
Solution
Mean = 5.2. Variance = [(4-5.2)² + (8-5.2)² + (6-5.2)² + (5-5.2)² + (3-5.2)²]/5 = 6.56. Standard Deviation = √6.56 ≈ 2.56.
Correct Answer:
B
— 2.58
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Q. What is the standard deviation of the data set: 1, 2, 3, 4, 5?
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Solution
Mean = 3. Standard Deviation = sqrt[((1-3)^2 + (2-3)^2 + (3-3)^2 + (4-3)^2 + (5-3)^2)/5] = sqrt[2] = 1.414.
Correct Answer:
A
— 1
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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
Show solution
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?
A.
0.00 V
B.
0.34 V
C.
1.23 V
D.
0.76 V
Show solution
Solution
The standard electrode potential of the hydrogen electrode is defined as 0.00 V.
Correct Answer:
A
— 0.00 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
Show solution
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
Show solution
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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