Q. The economic policies of the Mughal Empire were characterized by which of the following?
A.
Centralized control over trade
B.
Decentralized revenue collection
C.
Promotion of local handicrafts
D.
All of the above
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Solution
Mughal economic policies included centralized control over trade, decentralized revenue collection, and promotion of local handicrafts, contributing to a vibrant economy.
Correct Answer: D — All of the above
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Q. The efficiency of a Carnot engine depends on: (2022)
A.
The temperature of the hot reservoir only
B.
The temperature of the cold reservoir only
C.
The temperatures of both the hot and cold reservoirs
D.
The type of working substance used
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Solution
The efficiency of a Carnot engine is determined by the temperatures of both the hot and cold reservoirs, given by the formula η = 1 - (T_c/T_h).
Correct Answer: C — The temperatures of both the hot and cold reservoirs
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Q. The efficiency of a heat engine is defined as the ratio of: (2023)
A.
Work done to heat absorbed
B.
Heat rejected to heat absorbed
C.
Work done to heat rejected
D.
Heat absorbed to work done
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Solution
The efficiency of a heat engine is defined as the ratio of work done by the engine to the heat absorbed from the hot reservoir.
Correct Answer: A — Work done to heat absorbed
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Q. The electric field between the plates of a parallel plate capacitor is given by which formula? (2020)
A.
E = V/d
B.
E = Q/A
C.
E = CV
D.
E = 1/(4πε₀r²)
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Solution
The electric field (E) between the plates of a parallel plate capacitor is given by the formula E = V/d, where V is the voltage and d is the separation between the plates.
Correct Answer: A — E = V/d
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Q. The electric field between the plates of a parallel plate capacitor is given by which expression? (2020)
A.
E = V/d
B.
E = d/V
C.
E = CV
D.
E = Q/A
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Solution
The electric field (E) between the plates of a parallel plate capacitor is given by the expression E = V/d, where V is the voltage and d is the distance between the plates.
Correct Answer: A — E = V/d
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Q. The electric field due to a dipole at a point along the axial line is given by which formula? (2023)
A.
k * p / r²
B.
k * p / r³
C.
k * p / r
D.
k * p / r⁴
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Solution
The electric field E due to a dipole at a point along the axial line is given by E = (1/4πε₀) * (2p) / r³.
Correct Answer: B — k * p / r³
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Q. The electric field due to a point charge is given by which formula? (2020)
A.
kQ/r^2
B.
kQ/r
C.
Q/4πε₀r^2
D.
Q/4πε₀r
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Solution
The electric field (E) due to a point charge (Q) is given by E = kQ/r^2, where k is Coulomb's constant.
Correct Answer: A — kQ/r^2
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Q. The electric potential due to a point charge is given by which formula? (2019)
A.
V = kQ/r
B.
V = Q/r
C.
V = kQ/r^2
D.
V = kQ
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Solution
The electric potential (V) due to a point charge (Q) at a distance (r) is given by V = kQ/r, where k is Coulomb's constant.
Correct Answer: A — V = kQ/r
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Q. The electric potential due to a uniformly charged sphere at a point outside the sphere is equivalent to that of?
A.
A point charge at the center
B.
A point charge at the surface
C.
A point charge at the edge
D.
A hollow sphere
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Solution
The electric potential outside a uniformly charged sphere is the same as that due to a point charge located at the center of the sphere.
Correct Answer: A — A point charge at the center
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Q. The electrochemical series is a list of elements arranged according to their: (2022)
A.
Atomic mass
B.
Electronegativity
C.
Standard electrode potentials
D.
Ionization energy
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Solution
The electrochemical series arranges elements based on their standard electrode potentials.
Correct Answer: C — Standard electrode potentials
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Q. The electrochemical series is a list of: (2023)
A.
Reactions
B.
Electrodes arranged by standard electrode potential
C.
Ionic compounds
D.
Gases
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Solution
The electrochemical series is a list of electrodes arranged by their standard electrode potentials, indicating their tendency to gain or lose electrons.
Correct Answer: B — Electrodes arranged by standard electrode potential
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Q. The energy of a simple harmonic oscillator is maximum at which point? (2022)
A.
Mean position
B.
Amplitude
C.
Quarter amplitude
D.
Half amplitude
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Solution
The energy of a simple harmonic oscillator is maximum at the amplitude, where the velocity is zero and all energy is potential.
Correct Answer: B — Amplitude
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Q. The energy of a simple harmonic oscillator is proportional to which of the following?
A.
Displacement
B.
Velocity
C.
Square of amplitude
D.
Frequency
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Solution
The total energy of a simple harmonic oscillator is proportional to the square of the amplitude.
Correct Answer: C — Square of amplitude
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Q. The energy stored in a capacitor is directly proportional to which of the following? (2023)
A.
Charge
B.
Voltage
C.
Capacitance
D.
All of the above
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Solution
The energy stored in a capacitor is given by U = 1/2 CV^2, which shows it is proportional to both charge and voltage.
Correct Answer: D — All of the above
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Q. The energy stored in a capacitor is given by which of the following formulas? (2021)
A.
1/2 CV^2
B.
CV
C.
Q/V
D.
1/2 QV
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Solution
The energy (U) stored in a capacitor is given by the formula U = 1/2 CV^2, where C is capacitance and V is voltage.
Correct Answer: A — 1/2 CV^2
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Q. The energy stored in an object due to its position is called _____. (2019)
A.
Kinetic energy
B.
Potential energy
C.
Thermal energy
D.
Chemical energy
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Solution
Potential energy is the energy stored in an object due to its position or configuration.
Correct Answer: B — Potential energy
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Q. The enthalpy change for a reaction can be calculated using which of the following?
A.
Bond energies
B.
Standard enthalpies of formation
C.
Calorimetry
D.
All of the above
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Solution
The enthalpy change for a reaction can be calculated using bond energies, standard enthalpies of formation, and calorimetry.
Correct Answer: D — All of the above
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Q. The enthalpy change for the reaction A + B → C is +50 kJ/mol. What can be said about the reaction?
A.
It is exothermic
B.
It is endothermic
C.
It is spontaneous
D.
It is at equilibrium
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Solution
A positive enthalpy change indicates that the reaction absorbs heat, thus it is endothermic.
Correct Answer: B — It is endothermic
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Q. The enthalpy of vaporization of a substance is defined as:
A.
The heat required to melt the substance
B.
The heat required to convert a liquid into a gas
C.
The heat released during condensation
D.
The heat required to raise the temperature of a substance
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Solution
The enthalpy of vaporization is the heat required to convert a liquid into a gas at constant temperature and pressure.
Correct Answer: B — The heat required to convert a liquid into a gas
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Q. The enthalpy of vaporization of water is approximately ____ kJ/mol.
A.
40.79
B.
60.79
C.
80.79
D.
100.79
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Solution
The enthalpy of vaporization of water is approximately 40.79 kJ/mol.
Correct Answer: A — 40.79
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Q. The enthalpy of vaporization of water is approximately:
A.
40.79 kJ/mol
B.
2260 kJ/mol
C.
100 kJ/mol
D.
60 kJ/mol
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Solution
The enthalpy of vaporization of water is approximately 2260 kJ/mol.
Correct Answer: B — 2260 kJ/mol
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Q. The entropy change for a phase transition at constant temperature is given by:
A.
ΔS = ΔH/T
B.
ΔS = T/ΔH
C.
ΔS = ΔH*T
D.
ΔS = ΔH + T
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Solution
For a phase transition at constant temperature, the change in entropy is given by ΔS = ΔH/T, where ΔH is the enthalpy change.
Correct Answer: A — ΔS = ΔH/T
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Q. The entropy change for a reaction can be calculated using which of the following?
A.
ΔS = ΣS(products) - ΣS(reactants)
B.
ΔS = ΣS(reactants) - ΣS(products)
C.
ΔS = Q/T
D.
ΔS = W/T
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Solution
The change in entropy for a reaction is calculated using the formula ΔS = ΣS(products) - ΣS(reactants).
Correct Answer: A — ΔS = ΣS(products) - ΣS(reactants)
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Q. The entropy of a perfect crystal at absolute zero is given by:
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Solution
According to the third law of thermodynamics, the entropy of a perfect crystal at absolute zero is zero.
Correct Answer: B — 0
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Q. The entropy of a perfect crystal at absolute zero is:
A.
Maximum
B.
Minimum
C.
Undefined
D.
Infinite
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Solution
According to the third law of thermodynamics, the entropy of a perfect crystal at absolute zero is zero, which is the minimum value.
Correct Answer: B — Minimum
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Q. The entropy of a perfect crystal at absolute zero temperature is given by which law?
A.
Third law of thermodynamics
B.
First law of thermodynamics
C.
Second law of thermodynamics
D.
Zeroth law of thermodynamics
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Solution
The third law of thermodynamics states that the entropy of a perfect crystal approaches zero as the temperature approaches absolute zero.
Correct Answer: A — Third law of thermodynamics
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Q. The entropy of a perfect crystal at absolute zero temperature is given by:
A.
0
B.
1
C.
Infinity
D.
Depends on the substance
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Solution
According to the third law of thermodynamics, the entropy of a perfect crystal at absolute zero is exactly zero.
Correct Answer: A — 0
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Q. The entropy of a perfect crystalline substance at absolute zero is given by which law?
A.
Third law of thermodynamics
B.
First law of thermodynamics
C.
Second law of thermodynamics
D.
Zeroth law of thermodynamics
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Solution
The third law of thermodynamics states that the entropy of a perfect crystalline substance approaches zero as the temperature approaches absolute zero.
Correct Answer: A — Third law of thermodynamics
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Q. The entropy of a perfect crystalline substance at absolute zero is given by: (2021)
A.
0 J/K
B.
1 J/K
C.
2 J/K
D.
Depends on the substance
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Solution
According to the third law of thermodynamics, the entropy of a perfect crystalline substance at absolute zero is exactly zero.
Correct Answer: A — 0 J/K
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Q. The entropy of a perfect crystalline substance at absolute zero is:
A.
Zero
B.
Maximum
C.
Undefined
D.
Infinite
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Solution
According to the third law of thermodynamics, the entropy of a perfect crystalline substance at absolute zero is zero.
Correct Answer: A — Zero
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