Major Competitive Exams

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Q. For the quadratic equation x² + 2x + k = 0 to have real roots, what is the condition on k? (2021)
  • A. k ≥ 1
  • B. k ≤ 1
  • C. k > 1
  • D. k < 1
Q. For the quadratic equation x² + 6x + k = 0 to have no real roots, what must be the value of k? (2021)
  • A. k < 9
  • B. k > 9
  • C. k = 9
  • D. k ≤ 9
Q. For the quadratic equation x² + 6x + k = 0 to have real roots, what is the minimum value of k? (2021)
  • A. -9
  • B. -6
  • C. 0
  • D. 6
Q. For the quantum state with n=3, l=1, how many possible values can m_l take?
  • A. 1
  • B. 2
  • C. 3
  • D. 5
Q. For the reaction 2A ⇌ B + C, if the initial concentration of A is 0.5 M and at equilibrium, [B] = 0.2 M, what is the equilibrium concentration of A?
  • A. 0.1 M
  • B. 0.2 M
  • C. 0.3 M
  • D. 0.4 M
Q. For the reaction 2A ⇌ B + C, if the initial concentration of A is 0.5 M and at equilibrium, the concentration of B is 0.2 M, what is the equilibrium concentration of A?
  • A. 0.1 M
  • B. 0.2 M
  • C. 0.3 M
  • D. 0.4 M
Q. For the reaction 2A(g) ⇌ B(g) + C(g), if the concentration of B is increased, what will happen to the equilibrium?
  • A. Shift to the left
  • B. Shift to the right
  • C. No shift
  • D. Depends on temperature
Q. For the reaction 2NO(g) + O2(g) ⇌ 2NO2(g), if the initial concentrations are [NO]=0.5 M and [O2]=0.5 M, what will be the equilibrium concentration of NO2 if Kc=4?
  • A. 0.1 M
  • B. 0.2 M
  • C. 0.3 M
  • D. 0.4 M
Q. For the reaction 2SO2(g) + O2(g) ⇌ 2SO3(g), if the concentration of SO2 is doubled, what happens to the equilibrium constant?
  • A. It doubles
  • B. It remains the same
  • C. It halves
  • D. It quadruples
Q. For the reaction 2SO2(g) + O2(g) ⇌ 2SO3(g), if the volume of the container is decreased, what will happen to the equilibrium? (2021)
  • A. Shift to the right
  • B. Shift to the left
  • C. No change
  • D. Depends on the temperature
Q. For the reaction 2SO2(g) + O2(g) ⇌ 2SO3(g), what happens if the volume of the container is decreased? (2021)
  • A. Equilibrium shifts to the left
  • B. Equilibrium shifts to the right
  • C. No change
  • D. Depends on temperature
Q. For the reaction 2SO2(g) + O2(g) ⇌ 2SO3(g), what happens to the equilibrium if the volume of the container is decreased? (2022)
  • A. Equilibrium shifts to the left
  • B. Equilibrium shifts to the right
  • C. No effect on equilibrium
  • D. Equilibrium constant changes
Q. For the reaction 2SO2(g) + O2(g) ⇌ 2SO3(g), what happens to the equilibrium position if SO3 is removed from the system? (2023)
  • A. The equilibrium shifts to the left
  • B. The equilibrium shifts to the right
  • C. The equilibrium remains unchanged
  • D. The reaction stops
Q. For the reaction 2SO2(g) + O2(g) ⇌ 2SO3(g), what will happen if the volume of the container is increased? (2020) 2020
  • A. Equilibrium shifts to the right
  • B. Equilibrium shifts to the left
  • C. No change in equilibrium
  • D. Reaction stops
Q. For the reaction 4H2(g) + 2O2(g) ⇌ 4H2O(g), what is the change in Gibbs free energy at equilibrium?
  • A. Positive
  • B. Negative
  • C. Zero
  • D. Depends on temperature
Q. For the reaction 4HCl(g) ⇌ 2H2(g) + Cl2(g), what is the effect of adding HCl on the equilibrium?
  • A. Shift to the left
  • B. Shift to the right
  • C. No effect
  • D. Depends on the temperature
Q. For the reaction A + B ⇌ C + D, if the concentration of C is decreased, what will be the effect on the equilibrium?
  • A. Shift to the right
  • B. Shift to the left
  • C. No change
  • D. Increase in temperature
Q. For the reaction A(g) ⇌ B(g) + C(g), if the concentration of B is increased, what will be the effect on the equilibrium? (2020)
  • A. Shift to the right
  • B. Shift to the left
  • C. No effect
  • D. Increase in temperature
Q. For the reaction A(g) ⇌ B(g), if the concentration of A is increased, what will happen to the concentration of B at equilibrium?
  • A. Increase
  • B. Decrease
  • C. Remain the same
  • D. Cannot be determined
Q. For the reaction A(g) ⇌ B(g), if the concentration of B is increased, what will happen to the concentration of A at equilibrium?
  • A. Increase
  • B. Decrease
  • C. Remain the same
  • D. Cannot be determined
Q. For the reaction CO(g) + 2H2(g) ⇌ CH3OH(g), what is the effect of increasing the concentration of H2?
  • A. Shifts equilibrium to the right
  • B. Shifts equilibrium to the left
  • C. No effect
  • D. Increases the rate of reaction
Q. For the reaction CO(g) + 2H2(g) ⇌ CH3OH(g), what will happen if H2 is removed from the system?
  • A. Shifts to the right
  • B. Shifts to the left
  • C. No change
  • D. Increases the rate of reaction
Q. For the reaction CO(g) + 2H2(g) ⇌ CH3OH(g), what will happen if the concentration of H2 is increased?
  • A. Equilibrium shifts to the left
  • B. Equilibrium shifts to the right
  • C. No change
  • D. Rate of reaction decreases
Q. For the reaction CO(g) + 2H2(g) ⇌ CH3OH(g), what will happen if the pressure is increased?
  • A. Equilibrium shifts to the left
  • B. Equilibrium shifts to the right
  • C. No change in equilibrium
  • D. Equilibrium constant increases
Q. For the reaction N2(g) + 3H2(g) ⇌ 2NH3(g), if the concentration of NH3 is increased, what will happen to the equilibrium?
  • A. Shift to the right
  • B. Shift to the left
  • C. No change
  • D. Increase the rate of reaction
Q. For the reaction N2(g) + 3H2(g) ⇌ 2NH3(g), what happens if the volume of the container is decreased?
  • A. Equilibrium shifts to the left
  • B. Equilibrium shifts to the right
  • C. No change in equilibrium
  • D. Equilibrium constant changes
Q. For the reaction N2(g) + 3H2(g) ⇌ 2NH3(g), what happens to the equilibrium constant if the temperature is increased?
  • A. Increases
  • B. Decreases
  • C. Remains the same
  • D. Depends on the pressure
Q. For the reaction N2(g) + 3H2(g) ⇌ 2NH3(g), what happens to the equilibrium if the volume of the container is decreased? (2020)
  • A. Equilibrium shifts to the right
  • B. Equilibrium shifts to the left
  • C. No change in equilibrium
  • D. Equilibrium shifts to the side with more moles
Q. For the reaction N2(g) + 3H2(g) ⇌ 2NH3(g), what happens to the equilibrium position if the pressure is increased?
  • A. Shifts to the left
  • B. Shifts to the right
  • C. No change
  • D. Depends on temperature
Q. For the reaction N2(g) + 3H2(g) ⇌ 2NH3(g), what happens to the equilibrium position if the volume of the container is decreased?
  • A. Equilibrium shifts to the left
  • B. Equilibrium shifts to the right
  • C. No change in equilibrium
  • D. Equilibrium shifts in both directions
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