Q. What is the bond order of the molecule B2 according to molecular orbital theory?
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Solution
B2 has a bond order of 1, calculated as (2 bonding - 0 antibonding)/2.
Correct Answer:
B
— 1
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Q. What is the bond order of the molecule B2?
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Solution
B2 has a bond order of 1, calculated from its molecular orbital configuration.
Correct Answer:
A
— 1
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Q. What is the bond order of the molecule CO?
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Solution
CO has a bond order of 3, calculated as (10 bonding electrons - 2 antibonding electrons)/2 = 3.
Correct Answer:
C
— 3
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Q. What is the bond order of the molecule He2?
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Solution
He2 has a bond order of 0, as it has no net bonding electrons.
Correct Answer:
A
— 0
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Q. What is the bond order of the N2 molecule?
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Solution
N2 has a bond order of 3, calculated as (10 bonding - 0 antibonding)/2 = 3.
Correct Answer:
C
— 3
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Q. What is the bond order of the O2 molecule according to Molecular Orbital Theory?
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Solution
O2 has 12 total electrons, leading to a bond order of (10 bonding - 6 antibonding)/2 = 1.
Correct Answer:
B
— 2
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Q. What is the Brewster's angle for a medium with a refractive index of 1.5?
A.
30 degrees
B.
45 degrees
C.
60 degrees
D.
53 degrees
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Solution
Brewster's angle can be calculated using the formula tan(θ_B) = n, where n is the refractive index. For n = 1.5, θ_B = arctan(1.5) ≈ 53 degrees.
Correct Answer:
D
— 53 degrees
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Q. What is the Brewster's angle for light entering a medium with a refractive index of 1.5?
A.
30 degrees
B.
45 degrees
C.
60 degrees
D.
53 degrees
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Solution
Brewster's angle can be calculated using the formula tan(θ_B) = n, where n is the refractive index. For n = 1.5, θ_B = arctan(1.5) ≈ 53 degrees.
Correct Answer:
D
— 53 degrees
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Q. What is the Brewster's angle for light in air (n=1) reflecting off glass (n=1.5)?
A.
30 degrees
B.
45 degrees
C.
60 degrees
D.
53 degrees
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Solution
Brewster's angle can be calculated using the formula tan(θ_B) = n2/n1, which gives approximately 53 degrees.
Correct Answer:
D
— 53 degrees
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Q. What is the Brewster's angle for light traveling from air (n1 = 1) to glass (n2 = 1.5)?
A.
30 degrees
B.
45 degrees
C.
60 degrees
D.
53 degrees
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Solution
Brewster's angle θ_B can be calculated using θ_B = arctan(n2/n1) = arctan(1.5) ≈ 56.31 degrees.
Correct Answer:
D
— 53 degrees
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Q. What is the Brewster's angle?
A.
The angle at which light is completely absorbed
B.
The angle at which light is reflected with maximum polarization
C.
The angle at which light refracts without any reflection
D.
The angle at which light intensity is halved
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Solution
Brewster's angle is the angle of incidence at which light is reflected with maximum polarization.
Correct Answer:
B
— The angle at which light is reflected with maximum polarization
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Q. What is the bulk modulus of a material if a pressure increase of 1000 kPa causes a volume decrease of 0.01 m³ in a 1 m³ sample? (2022)
A.
10000 kPa
B.
1000 kPa
C.
100 kPa
D.
100 kPa
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Solution
Bulk modulus (K) = -ΔP / (ΔV/V) = 1000 kPa / (0.01 m³ / 1 m³) = 100000 kPa = 10000 kPa.
Correct Answer:
A
— 10000 kPa
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Q. What is the bulk modulus of a material if a pressure increase of 1000 kPa results in a volume decrease of 0.01 m³ for a volume of 1 m³? (2022)
A.
10000 kPa
B.
1000 kPa
C.
100 kPa
D.
100000 kPa
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Solution
Bulk modulus (K) = -ΔP / (ΔV/V) = 1000 kPa / (0.01 m³ / 1 m³) = 100000 kPa.
Correct Answer:
A
— 10000 kPa
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Q. What is the bulk modulus of a material if a pressure increase of 1000 kPa results in a volume decrease of 0.5%? (2022)
A.
200000 kPa
B.
500000 kPa
C.
1000000 kPa
D.
250000 kPa
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Solution
Bulk modulus (K) = -ΔP / (ΔV/V) = 1000 kPa / 0.005 = 200000 kPa.
Correct Answer:
B
— 500000 kPa
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Q. What is the bulk modulus of a material if a pressure increase of 50 MPa results in a volume decrease of 0.02 m³ for a volume of 1 m³? (2022)
A.
2500 MPa
B.
500 MPa
C.
1000 MPa
D.
2000 MPa
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Solution
Bulk modulus (K) = -ΔP / (ΔV/V) = 50 MPa / (0.02 m³ / 1 m³) = 2500 MPa.
Correct Answer:
A
— 2500 MPa
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Q. What is the bulk modulus of a material if a pressure increase of 50 MPa results in a volume decrease of 0.002 m³ for a volume of 1 m³? (2022)
A.
25 GPa
B.
50 GPa
C.
100 GPa
D.
200 GPa
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Solution
Bulk modulus (K) = -ΔP / (ΔV/V) = -50 MPa / (-0.002 m³ / 1 m³) = 25000 MPa = 25 GPa.
Correct Answer:
B
— 50 GPa
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Q. What is the bulk modulus of a material?
A.
Resistance to shear deformation
B.
Resistance to volume change
C.
Resistance to bending
D.
Resistance to tensile stress
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Solution
The bulk modulus measures a material's resistance to uniform compression, indicating how much it resists volume change.
Correct Answer:
B
— Resistance to volume change
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Q. What is the caloric value of one gram of fat?
A.
4 calories
B.
7 calories
C.
9 calories
D.
12 calories
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Solution
One gram of fat provides approximately 9 calories, making it the most energy-dense macronutrient.
Correct Answer:
C
— 9 calories
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Q. What is the capacitance of a capacitor if it stores 6μC of charge at a potential difference of 3V? (2022)
A.
2μF
B.
3μF
C.
4μF
D.
5μF
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Solution
Using the formula C = Q/V, we have C = 6μC / 3V = 2μF.
Correct Answer:
A
— 2μF
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Q. What is the capacitance of a capacitor that stores 10 µC of charge at a potential difference of 5 V?
A.
2 µF
B.
5 µF
C.
10 µF
D.
20 µF
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Solution
C = Q/V = 10 × 10^-6 C / 5 V = 2 × 10^-6 F = 2 µF.
Correct Answer:
A
— 2 µF
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Q. What is the capacitance of a parallel plate capacitor with an area of 0.01 m² and a separation of 0.001 m, filled with a dielectric of relative permittivity 5?
A.
5.5 × 10^-11 F
B.
5.5 × 10^-10 F
C.
5.5 × 10^-9 F
D.
5.5 × 10^-8 F
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Solution
C = ε₀ * ε_r * A / d = (8.85 × 10^-12 F/m) * 5 * (0.01 m²) / (0.001 m) = 4.425 × 10^-10 F.
Correct Answer:
B
— 5.5 × 10^-10 F
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Q. What is the capacitance of a parallel plate capacitor with area 0.1 m² and separation 0.01 m filled with air (ε₀ = 8.85 × 10^-12 F/m)?
A.
8.85 × 10^-12 F
B.
8.85 × 10^-10 F
C.
8.85 × 10^-9 F
D.
8.85 × 10^-8 F
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Solution
Capacitance C = ε₀ * A / d = (8.85 × 10^-12 F/m) * (0.1 m²) / (0.01 m) = 8.85 × 10^-10 F.
Correct Answer:
B
— 8.85 × 10^-10 F
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Q. What is the capacitance of a parallel plate capacitor with area A and separation d?
A.
ε₀ * A / d
B.
A / (ε₀ * d)
C.
d / (ε₀ * A)
D.
ε₀ * d / A
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Solution
The capacitance C of a parallel plate capacitor is given by the formula C = ε₀ * A / d, where ε₀ is the permittivity of free space.
Correct Answer:
A
— ε₀ * A / d
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Q. What is the capacitance of a parallel plate capacitor with plate area A and separation d?
A.
ε₀A/d
B.
d/ε₀A
C.
A/ε₀d
D.
ε₀d/A
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Solution
The capacitance C of a parallel plate capacitor is given by the formula C = ε₀A/d, where ε₀ is the permittivity of free space.
Correct Answer:
A
— ε₀A/d
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Q. What is the capacitance of a spherical capacitor with inner radius a and outer radius b? (2023)
A.
4πε₀ab/(b-a)
B.
4πε₀/(1/a - 1/b)
C.
4πε₀/(a+b)
D.
4πε₀/(b-a)
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Solution
The capacitance of a spherical capacitor is given by C = 4πε₀ab/(b-a).
Correct Answer:
A
— 4πε₀ab/(b-a)
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Q. What is the capacitive reactance of a capacitor of 10μF at a frequency of 60 Hz? (2016)
A.
265.26Ω
B.
159.15Ω
C.
100Ω
D.
50Ω
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Solution
Capacitive reactance Xc = 1 / (2πfC) = 1 / (2π * 60 * 10e-6) = 265.26Ω.
Correct Answer:
A
— 265.26Ω
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Q. What is the capacitive reactance of a capacitor with a capacitance of 10μF at a frequency of 50Hz? (2020)
A.
318.31 ohms
B.
159.15 ohms
C.
31.83 ohms
D.
15.92 ohms
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Solution
Xc = 1 / (2πfC) = 1 / (2π × 50 × 10 × 10^-6) = 318.31 ohms.
Correct Answer:
A
— 318.31 ohms
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Q. What is the capital city of Australia? (2021)
A.
Sydney
B.
Canberra
C.
Melbourne
D.
Brisbane
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Solution
The capital city of Australia is Canberra.
Correct Answer:
B
— Canberra
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Q. What is the capital city of Japan?
A.
Seoul
B.
Beijing
C.
Tokyo
D.
Bangkok
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Solution
Tokyo is the capital city of Japan and one of the most populous cities in the world.
Correct Answer:
C
— Tokyo
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Q. What is the capital city of the Indian state of Maharashtra?
A.
Mumbai
B.
Pune
C.
Nagpur
D.
Nashik
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Solution
Mumbai is the capital city of the Indian state of Maharashtra.
Correct Answer:
A
— Mumbai
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