Q. What is the bond angle in a water molecule (H2O)?
A.
120 degrees
B.
109.5 degrees
C.
104.5 degrees
D.
180 degrees
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Solution
The bond angle in H2O is approximately 104.5 degrees due to the two lone pairs on oxygen.
Correct Answer: C — 104.5 degrees
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Q. What is the bond angle in water (H2O)?
A.
90 degrees
B.
104.5 degrees
C.
120 degrees
D.
180 degrees
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Solution
The bond angle in water (H2O) is approximately 104.5 degrees.
Correct Answer: B — 104.5 degrees
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Q. What is the bond order of the CO molecule?
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Solution
CO has a bond order of 3, calculated as (10 bonding - 3 antibonding)/2.
Correct Answer: C — 3
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Q. What is the bond order of the ion O2-?
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Solution
O2- has a bond order of 1, calculated as (10 bonding electrons - 7 antibonding electrons)/2 = 1.
Correct Answer: B — 2
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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?
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 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 change in enthalpy for an endothermic reaction?
A.
Negative
B.
Positive
C.
Zero
D.
Undefined
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Solution
In an endothermic reaction, heat is absorbed from the surroundings, resulting in a positive change in enthalpy.
Correct Answer: B — Positive
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Q. What is the change in enthalpy for an exothermic reaction?
A.
Positive
B.
Negative
C.
Zero
D.
Undefined
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Solution
In an exothermic reaction, heat is released, resulting in a negative change in enthalpy.
Correct Answer: B — Negative
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Q. What is the change in enthalpy for an isothermal process?
A.
Zero
B.
Positive
C.
Negative
D.
Depends on the system
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Solution
In an isothermal process, the temperature remains constant, and for an ideal gas, the change in enthalpy is zero.
Correct Answer: A — Zero
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Q. What is the change in entropy when 1 mole of an ideal gas expands isothermally and reversibly from volume V1 to V2?
A.
R ln(V2/V1)
B.
R (V2 - V1)
C.
R (V1/V2)
D.
0
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Solution
The change in entropy for an isothermal and reversible expansion of an ideal gas is given by ΔS = nR ln(V2/V1). For 1 mole, n = 1, hence ΔS = R ln(V2/V1).
Correct Answer: A — R ln(V2/V1)
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Q. What is the change in entropy when 1 mole of an ideal gas expands isothermally from volume V1 to V2?
A.
R ln(V2/V1)
B.
R (V2 - V1)
C.
R (V1/V2)
D.
0
Show solution
Solution
The change in entropy for an isothermal expansion of an ideal gas is given by ΔS = nR ln(V2/V1). For 1 mole, it simplifies to ΔS = R ln(V2/V1).
Correct Answer: A — R ln(V2/V1)
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Q. What is the change in internal energy (ΔU) for an ideal gas in an isochoric process?
A.
ΔU = Q
B.
ΔU = W
C.
ΔU = 0
D.
ΔU = Q - W
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Solution
In an isochoric process, the change in internal energy is equal to the heat added to the system, ΔU = Q.
Correct Answer: A — ΔU = Q
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Q. What is the change in internal energy for an ideal gas during an isochoric process?
A.
Zero
B.
nRΔT
C.
Q
D.
W
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Solution
In an isochoric process, the change in internal energy is equal to the heat added to the system, ΔU = Q.
Correct Answer: C — Q
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Q. What is the change in internal energy for an ideal gas undergoing an isochoric process?
A.
Zero
B.
Equal to the heat added
C.
Equal to the work done
D.
Equal to the change in temperature
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Solution
In an isochoric process, the volume remains constant, and the change in internal energy is equal to the heat added to the system.
Correct Answer: B — Equal to the heat added
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Q. What is the change in internal energy of an ideal gas during an isochoric process?
A.
Increases
B.
Decreases
C.
Remains constant
D.
Depends on the amount of gas
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Solution
In an isochoric process, the volume remains constant, and any heat added to the system increases the internal energy of the gas.
Correct Answer: A — Increases
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Q. What is the change in oxidation state of carbon in the reaction: CH4 + 2O2 → CO2 + 2H2O?
A.
0 to +4
B.
+4 to 0
C.
0 to -4
D.
-4 to 0
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Solution
The oxidation state of carbon changes from -4 in CH4 to +4 in CO2.
Correct Answer: A — 0 to +4
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