Q. In the expansion of (2x + 3)^4, what is the coefficient of x^0?
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Solution
The coefficient of x^0 is given by 4C4 * (2x)^0 * (3)^4 = 1 * 81 = 81.
Correct Answer:
A
— 81
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Q. In the expansion of (2x + 5)^3, what is the coefficient of x?
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Solution
The coefficient of x is given by 3C1 * (2)^1 * (5)^2 = 3 * 2 * 25 = 150.
Correct Answer:
B
— 45
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Q. In the expansion of (2x - 5)^5, what is the coefficient of x^2? (2021)
A.
-300
B.
-600
C.
600
D.
300
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Solution
The coefficient of x^2 is C(5,2) * (2)^2 * (-5)^3 = 10 * 4 * (-125) = -5000.
Correct Answer:
A
— -300
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Q. In the expansion of (2x - 5)^5, what is the coefficient of x^3? (2021)
A.
150
B.
300
C.
450
D.
600
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Solution
The coefficient of x^3 is C(5,3) * (2)^3 * (-5)^2 = 10 * 8 * 25 = 2000.
Correct Answer:
C
— 450
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Q. In the expansion of (2x - 5)^6, what is the coefficient of x^2? (2021)
A.
-150
B.
-300
C.
300
D.
150
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Solution
The coefficient of x^2 is C(6,2) * (2)^2 * (-5)^4 = 15 * 4 * 625 = -37500.
Correct Answer:
A
— -150
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Q. In the expansion of (2x - 5)^6, what is the coefficient of x^3? (2020)
A.
-600
B.
-720
C.
720
D.
600
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Solution
The coefficient of x^3 is C(6,3)(2)^3(-5)^3 = 20 * 8 * -125 = -20000.
Correct Answer:
B
— -720
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Q. In the expansion of (3 + 2x)^4, what is the coefficient of x^2? (2023)
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Solution
The coefficient of x^2 is C(4,2) * (3)^2 * (2)^2 = 6 * 9 * 4 = 216.
Correct Answer:
B
— 48
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Q. In the expansion of (3x - 2)^6, what is the coefficient of x^4? (2022)
A.
540
B.
810
C.
729
D.
486
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Solution
The coefficient of x^4 is given by 6C4 * (3)^4 * (-2)^2 = 15 * 81 * 4 = 4860.
Correct Answer:
A
— 540
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Q. In the expansion of (3x - 4)^4, what is the coefficient of x^2? (2023)
A.
-144
B.
-216
C.
216
D.
144
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Solution
The coefficient of x^2 is C(4,2)(3)^2(-4)^2 = 6 * 9 * 16 = -864.
Correct Answer:
B
— -216
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Q. In the expansion of (x + 3)^4, what is the coefficient of x^3? (2023)
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Solution
The coefficient of x^3 is C(4,3) * (3)^1 = 4 * 3 = 12.
Correct Answer:
A
— 36
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Q. In the expansion of (x + 4)^5, what is the coefficient of x^3? (2021)
A.
240
B.
320
C.
80
D.
160
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Solution
The coefficient of x^3 is C(5,3) * (4)^2 = 10 * 16 = 160.
Correct Answer:
A
— 240
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Q. In the expansion of (x - 1)^5, what is the coefficient of x^3?
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Solution
The coefficient of x^3 is C(5,3) * (-1)^2 = 10.
Correct Answer:
A
— -10
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Q. In the photoelectric effect, if the frequency of incident light is doubled, what happens to the kinetic energy of emitted electrons? (2020)
A.
It doubles
B.
It quadruples
C.
It remains the same
D.
It becomes zero
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Solution
Kinetic energy (KE) = hf - φ. If frequency is doubled, KE increases by a factor of 4.
Correct Answer:
B
— It quadruples
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Q. In the reaction 2Ag+ + Zn → 2Ag + Zn2+, what is the oxidation state of zinc after the reaction?
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Solution
Zinc (Zn) is oxidized to Zn2+, so its oxidation state is +2.
Correct Answer:
B
— +2
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Q. In the reaction 2Fe + 3Cl2 → 2FeCl3, which element is oxidized?
A.
Fe
B.
Cl2
C.
FeCl3
D.
None of the above
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Solution
Iron (Fe) is oxidized as it loses electrons to form FeCl3.
Correct Answer:
A
— Fe
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Q. In the reaction 2Fe2O3 + 3C → 4Fe + 3CO2, what is being reduced? (2020) 2020
A.
Fe2O3
B.
C
C.
CO2
D.
Fe
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Solution
Fe2O3 is reduced to Fe, as it gains electrons during the reaction.
Correct Answer:
A
— Fe2O3
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Q. In the reaction 2Mg + O2 → 2MgO, which element is oxidized? (2021)
A.
Magnesium
B.
Oxygen
C.
Both Magnesium and Oxygen
D.
Neither Magnesium nor Oxygen
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Solution
Magnesium is oxidized as it loses electrons and its oxidation state increases from 0 to +2.
Correct Answer:
A
— Magnesium
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Q. In the reaction 2SO2(g) + O2(g) ⇌ 2SO3(g), what happens to the equilibrium when the volume of the container is decreased? (2023)
A.
Equilibrium shifts to the left
B.
Equilibrium shifts to the right
C.
No change in equilibrium
D.
Equilibrium shifts to the side with more moles
Show solution
Solution
According to Le Chatelier's principle, decreasing the volume increases the pressure, and the equilibrium will shift towards the side with fewer moles of gas. In this case, the right side has 2 moles of SO3 compared to 3 moles on the left, so the equilibrium shifts to the right.
Correct Answer:
B
— Equilibrium shifts to the right
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Q. In the reaction 2SO2(g) + O2(g) ⇌ 2SO3(g), what will happen if the volume of the container is increased? (2023)
A.
Shift to the right
B.
Shift to the left
C.
No change
D.
Increase in temperature
Show solution
Solution
According to Le Chatelier's principle, increasing the volume of the container decreases the pressure. The equilibrium will shift towards the side with more moles of gas, which is the left side (2 moles of SO2 + 1 mole of O2).
Correct Answer:
B
— Shift to the left
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Q. In the reaction 3H2 + N2 → 2NH3, which element is reduced? (2022)
A.
H2
B.
N2
C.
NH3
D.
None
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Solution
N2 is reduced to NH3 as it gains electrons.
Correct Answer:
B
— N2
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Q. In the reaction 4Fe + 3O2 → 2Fe2O3, which element is oxidized?
A.
Fe
B.
O2
C.
Fe2O3
D.
None of the above
Show solution
Solution
Iron (Fe) is oxidized as it loses electrons to form Fe2O3.
Correct Answer:
A
— Fe
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Q. In the reaction A(g) + B(g) ⇌ C(g) + D(g), if the temperature is increased, what will be the effect on the equilibrium if the reaction is exothermic? (2020)
A.
The equilibrium shifts to the left
B.
The equilibrium shifts to the right
C.
No effect on the equilibrium
D.
The reaction rate increases
Show solution
Solution
For an exothermic reaction, increasing the temperature shifts the equilibrium to the left (towards the reactants) to absorb the added heat, according to Le Chatelier's principle.
Correct Answer:
A
— The equilibrium shifts to the left
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Q. In the reaction CO(g) + 2H2(g) ⇌ CH3OH(g), what effect does increasing the temperature have if the reaction is exothermic? (2020)
A.
Shifts equilibrium to the right
B.
Shifts equilibrium to the left
C.
No effect on equilibrium
D.
Increases the rate of reaction
Show solution
Solution
For an exothermic reaction, increasing the temperature shifts the equilibrium to the left, favoring the reactants, as the system tries to absorb the added heat.
Correct Answer:
B
— Shifts equilibrium to the left
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Q. In the reaction N2(g) + 3H2(g) ⇌ 2NH3(g), what happens to the equilibrium position if the pressure is increased? (2023)
A.
Shifts to the left
B.
Shifts to the right
C.
No change
D.
Depends on temperature
Show solution
Solution
Increasing the pressure shifts the equilibrium towards the side with fewer moles of gas, which in this case is the right side (2 moles of NH3).
Correct Answer:
B
— Shifts to the right
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Q. In the reaction Zn + CuSO4 → ZnSO4 + Cu, which species is reduced?
A.
Zn
B.
CuSO4
C.
ZnSO4
D.
Cu
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Solution
Copper (Cu) is reduced as it gains electrons from zinc.
Correct Answer:
D
— Cu
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Q. In the reaction: 2SO2(g) + O2(g) ⇌ 2SO3(g), what effect does increasing the pressure have? (2020)
A.
Shifts equilibrium to the left
B.
Shifts equilibrium to the right
C.
No effect on equilibrium
D.
Increases the rate of reaction
Show solution
Solution
Increasing the pressure shifts the equilibrium towards the side with fewer moles of gas. In this case, it shifts to the right, producing more SO3.
Correct Answer:
B
— Shifts equilibrium to the right
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Q. In the redox reaction 2Ag+ + Cu → 2Ag + Cu2+, which species is oxidized? (2022) 2022
A.
Ag+
B.
Cu
C.
Ag
D.
Cu2+
Show solution
Solution
Cu is oxidized to Cu2+ as it loses electrons in the reaction.
Correct Answer:
B
— Cu
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Q. In the redox reaction 2Ag+ + Zn → 2Ag + Zn2+, which species is oxidized? (2021)
A.
Ag+
B.
Zn
C.
Ag
D.
Zn2+
Show solution
Solution
Zn is oxidized to Zn2+ as it loses electrons.
Correct Answer:
B
— Zn
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Q. In the redox reaction 2MnO4- + 5C2O4^2- + 16H+ → 2Mn^2+ + 10CO2 + 8H2O, what is the oxidation state of carbon in C2O4^2-?
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Solution
In C2O4^2-, the oxidation state of carbon is +3.
Correct Answer:
C
— +4
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Q. In thin film interference, which of the following will cause a shift in the interference pattern? (2022)
A.
Change in wavelength
B.
Change in film thickness
C.
Change in angle of incidence
D.
All of the above
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Solution
All these factors can affect the path difference and thus shift the interference pattern in thin film interference.
Correct Answer:
D
— All of the above
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