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
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
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
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
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 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
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 spherical capacitor with inner radius a and outer radius b? (2023)
-
A.
4πε₀ab/(b-a)
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B.
4πε₀/(1/a - 1/b)
-
C.
4πε₀/(a+b)
-
D.
4πε₀/(b-a)
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 change in internal energy (ΔU) for an ideal gas during an isothermal process? (2021)
-
A.
ΔU = 0
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B.
ΔU = nRT
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C.
ΔU = -nRT
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D.
ΔU = PV
Solution
In an isothermal process for an ideal gas, the temperature remains constant, which means the internal energy does not change. Therefore, ΔU = 0.
Correct Answer: A — ΔU = 0
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Q. What is the change in internal energy (ΔU) for an ideal gas undergoing an isothermal process? (2021)
-
A.
ΔU = 0
-
B.
ΔU = Q
-
C.
ΔU = W
-
D.
ΔU = Q + W
Solution
In an isothermal process for an ideal gas, the temperature remains constant, which means the internal energy does not change. Therefore, ΔU = 0.
Correct Answer: A — ΔU = 0
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Q. What is the change in internal energy (ΔU) for an isothermal process for an ideal gas? (2021)
-
A.
ΔU = 0
-
B.
ΔU = nRT
-
C.
ΔU = -nRT
-
D.
ΔU = PV
Solution
In an isothermal process for an ideal gas, the temperature remains constant, which means the internal energy does not change. Therefore, ΔU = 0.
Correct Answer: A — ΔU = 0
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Q. What is the change in internal energy (ΔU) for an isothermal process of an ideal gas? (2021)
-
A.
ΔU = 0
-
B.
ΔU = nRT
-
C.
ΔU = -nRT
-
D.
ΔU = PV
Solution
In an isothermal process for an ideal gas, the temperature remains constant, which means the internal energy does not change. Therefore, ΔU = 0.
Correct Answer: A — ΔU = 0
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Q. What is the change in oxidation state of carbon in the reaction C6H12O6 → 2C2H5OH? (2023)
Solution
In the conversion of glucose to ethanol, the oxidation state of carbon decreases, indicating a reduction of -1.
Correct Answer: C — -1
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Q. What is the change in oxidation state of manganese in the reaction MnO4- + 8H+ + 5e- → Mn2+ + 4H2O? (2023)
-
A.
+7 to +2
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B.
+2 to +7
-
C.
0 to +2
-
D.
+4 to +2
Solution
Manganese changes from +7 in MnO4- to +2 in Mn2+, indicating a reduction.
Correct Answer: A — +7 to +2
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Q. What is the charge of a neutron? (2022)
-
A.
Positive
-
B.
Negative
-
C.
Neutral
-
D.
Depends on the isotope
Solution
A neutron has no charge; it is electrically neutral.
Correct Answer: C — Neutral
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Q. What is the charge of a proton? (2023)
Solution
A proton carries a positive charge of +1 elementary charge.
Correct Answer: C — +1
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Q. What is the charge of one coulomb equivalent to in terms of electric current and time? (2022)
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A.
1 A for 1 s
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B.
1 A for 2 s
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C.
2 A for 1 s
-
D.
0.5 A for 1 s
Solution
1 coulomb is the charge that passes through a conductor when a current of 1 ampere flows for 1 second.
Correct Answer: A — 1 A for 1 s
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Q. What is the charge of one coulomb equivalent to in terms of electrons? (2022)
-
A.
6.25 x 10^18 electrons
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B.
1.6 x 10^-19 electrons
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C.
3.2 x 10^-19 electrons
-
D.
1.0 x 10^18 electrons
Solution
One coulomb is equivalent to approximately 6.25 x 10^18 electrons.
Correct Answer: A — 6.25 x 10^18 electrons
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Q. What is the charge of one coulomb in terms of the number of electrons? (2023)
-
A.
6.25 x 10^18 electrons
-
B.
1.6 x 10^-19 electrons
-
C.
3.2 x 10^-19 electrons
-
D.
1.0 x 10^18 electrons
Solution
One coulomb is equivalent to approximately 6.25 x 10^18 electrons.
Correct Answer: A — 6.25 x 10^18 electrons
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Q. What is the chemical formula for the compound formed between strontium and chlorine? (2019)
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A.
SrCl
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B.
SrCl2
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C.
Sr2Cl
-
D.
Sr2Cl3
Solution
Strontium forms a compound with chlorine as SrCl2, where strontium has a +2 charge and chlorine has a -1 charge.
Correct Answer: B — SrCl2
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Q. What is the color of potassium permanganate (KMnO4)? (2021)
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A.
Colorless
-
B.
Green
-
C.
Purple
-
D.
Yellow
Solution
Potassium permanganate (KMnO4) is known for its deep purple color.
Correct Answer: C — Purple
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Q. What is the color of the complex ion [Cu(NH3)4]2+? (2021)
-
A.
Blue
-
B.
Green
-
C.
Yellow
-
D.
Red
Solution
[Cu(NH3)4]2+ is known to exhibit a blue color due to d-d transitions.
Correct Answer: A — Blue
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Q. What is the color of the flame produced by burning strontium salts? (2023)
-
A.
Red
-
B.
Green
-
C.
Blue
-
D.
Yellow
Solution
Strontium salts produce a red flame when burned.
Correct Answer: A — Red
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Q. What is the color of the flame produced by lithium salts? (2019)
-
A.
Red
-
B.
Green
-
C.
Blue
-
D.
Yellow
Solution
Lithium salts produce a red flame when burned.
Correct Answer: A — Red
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Q. What is the color of the solution of potassium dichromate (K2Cr2O7)? (2023)
-
A.
Yellow
-
B.
Green
-
C.
Blue
-
D.
Red
Solution
Potassium dichromate (K2Cr2O7) gives a yellow solution.
Correct Answer: A — Yellow
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Q. What is the common oxidation state of alkaline earth metals? (2019)
Solution
Alkaline earth metals typically exhibit a common oxidation state of +2.
Correct Answer: B — +2
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Q. What is the common oxidation state of aluminum in its compounds? (2020)
Solution
Aluminum commonly exhibits an oxidation state of +3 in its compounds.
Correct Answer: C — +3
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Q. What is the common oxidation state of chromium in CrO3? (2023)
Solution
In CrO3, chromium (Cr) has an oxidation state of +6.
Correct Answer: C — +6
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Q. What is the common oxidation state of iron in Fe2O3? (2019)
Solution
In Fe2O3, iron has a common oxidation state of +3.
Correct Answer: C — +3
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Q. What is the common oxidation state of iron in FeCl3? (2023)
Solution
In FeCl3, iron (Fe) has an oxidation state of +3.
Correct Answer: B — +3
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Q. What is the common oxidation state of sulfur in sulfuric acid (H2SO4)? (2022)
Solution
In sulfuric acid, sulfur has an oxidation state of +6.
Correct Answer: C — +6
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Q. What is the continuity equation in fluid dynamics? (2022)
-
A.
A1V1 = A2V2
-
B.
P1V1 = P2V2
-
C.
F = ma
-
D.
V = IR
Solution
The continuity equation states that the product of the cross-sectional area (A) and the velocity (V) of a fluid remains constant along a streamline.
Correct Answer: A — A1V1 = A2V2
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