Q. In simple harmonic motion, the maximum displacement from the mean position is called what?
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A.
Amplitude
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B.
Frequency
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C.
Period
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D.
Wavelength
Solution
The maximum displacement from the mean position in simple harmonic motion is called amplitude.
Correct Answer: A — Amplitude
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Q. In simple harmonic motion, the maximum speed occurs at which point?
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A.
At the mean position
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B.
At the amplitude
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C.
At one-fourth of the amplitude
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D.
At three-fourths of the amplitude
Solution
The maximum speed in SHM occurs at the mean position where the displacement is zero.
Correct Answer: A — At the mean position
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Q. In simple harmonic motion, the restoring force is directly proportional to which of the following?
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A.
Displacement
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B.
Velocity
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C.
Acceleration
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D.
Mass
Solution
The restoring force is directly proportional to the displacement from the mean position.
Correct Answer: A — Displacement
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Q. In simple harmonic motion, the total mechanical energy is conserved. What forms of energy are involved?
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A.
Kinetic and Potential Energy
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B.
Kinetic and Thermal Energy
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C.
Potential and Thermal Energy
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D.
Only Kinetic Energy
Solution
In SHM, the total mechanical energy is the sum of kinetic and potential energy, which remains constant.
Correct Answer: A — Kinetic and Potential Energy
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Q. In simple harmonic motion, the velocity of the particle is maximum when it is at which position?
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A.
Mean position
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B.
Maximum displacement
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C.
Equilibrium position
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D.
None of the above
Solution
In simple harmonic motion, the velocity is maximum at the mean position where the displacement is zero.
Correct Answer: A — Mean position
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Q. In team formation, what does the term 'role ambiguity' refer to?
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A.
Clear definition of tasks
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B.
Uncertainty about individual responsibilities
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C.
Overlapping roles among team members
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D.
A well-structured hierarchy
Solution
Role ambiguity refers to uncertainty about individual responsibilities within a team, which can lead to confusion and decreased effectiveness.
Correct Answer: B — Uncertainty about individual responsibilities
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Q. In the analogy of a circuit, what does a fuse represent? (2020)
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A.
A safety valve
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B.
A water filter
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C.
A water tank
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D.
A pipe connector
Solution
A fuse acts like a safety valve in a water system, protecting the circuit from excessive current by breaking the connection.
Correct Answer: A — A safety valve
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Q. In the analogy of an electrical circuit, what does a battery represent? (2021)
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A.
A water pump
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B.
A water tank
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C.
A filter
-
D.
A pipe
Solution
A battery is analogous to a water pump, as it provides the energy needed to move the current through the circuit.
Correct Answer: A — A water pump
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Q. In the bar graph depicting the monthly expenses of a household, which month had the highest expenditure?
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A.
January
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B.
March
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C.
June
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D.
December
Solution
The bar graph shows that December had the highest expenditure among the months.
Correct Answer: D — December
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Q. In the bar graph showing the distribution of time spent on various activities, which activity took the least time?
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A.
Reading
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B.
Exercise
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C.
Socializing
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D.
Watching TV
Solution
The bar graph shows that Exercise took the least time compared to the other activities.
Correct Answer: B — Exercise
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Q. In the Biot-Savart Law, what does the term 'dl' represent?
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A.
The length of the wire segment
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B.
The distance from the wire to the point of interest
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C.
The current flowing through the wire
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D.
The angle between the wire and the point
Solution
'dl' represents the infinitesimal length of the wire segment that contributes to the magnetic field at a point.
Correct Answer: A — The length of the wire segment
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Q. In the Bohr model of the hydrogen atom, what is the energy of the electron in the n=2 level?
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A.
-13.6 eV
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B.
-3.4 eV
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C.
-1.51 eV
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D.
0 eV
Solution
The energy of an electron in the nth level of hydrogen is given by E_n = -13.6 eV/n². For n=2, E_2 = -13.6 eV/2² = -3.4 eV.
Correct Answer: B — -3.4 eV
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Q. In the Bohr model of the hydrogen atom, what is the radius of the first orbit?
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A.
0.0529 nm
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B.
0.1 nm
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C.
0.529 nm
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D.
0.529 pm
Solution
The radius of the first orbit in the Bohr model is 0.529 Å or 0.0529 nm.
Correct Answer: C — 0.529 nm
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Q. In the calculation 12.11 + 0.3 + 1.234, how many significant figures should the answer have?
Solution
The answer should have 2 decimal places, as 0.3 has the least precision.
Correct Answer: C — 4
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Q. In the complex [Ni(CO)4], what is the hybridization of the nickel atom?
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A.
sp
-
B.
sp2
-
C.
sp3
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D.
d2sp3
Solution
Nickel in [Ni(CO)4] undergoes sp3 hybridization as it forms four sigma bonds with CO ligands.
Correct Answer: C — sp3
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Q. In the context of adsorption, what does the term 'saturation' refer to?
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A.
Complete coverage of the adsorbent surface
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B.
Maximum temperature for adsorption
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C.
Equilibrium state of adsorption and desorption
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D.
None of the above
Solution
Saturation refers to the complete coverage of the adsorbent surface by the adsorbate.
Correct Answer: A — Complete coverage of the adsorbent surface
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Q. In the context of adsorption, what does the term 'selectivity' refer to? (2022)
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A.
The ability to adsorb multiple gases
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B.
The preference for one gas over another
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C.
The rate of adsorption
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D.
The temperature dependence of adsorption
Solution
Selectivity in adsorption refers to the preference of an adsorbent for one gas over another, which can be crucial in separation processes.
Correct Answer: B — The preference for one gas over another
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Q. In the context of algebra, which of the following statements best describes the relationship between variables and constants?
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A.
Variables are fixed values while constants can change.
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B.
Constants are fixed values while variables can change.
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C.
Both variables and constants can change.
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D.
Neither variables nor constants can change.
Solution
In algebra, constants are fixed values that do not change, while variables represent values that can vary.
Correct Answer: B — Constants are fixed values while variables can change.
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Q. In the context of atomic structure, what does the term 'isotope' refer to? (2021)
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A.
Atoms with the same number of protons but different neutrons
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B.
Atoms with different numbers of protons
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C.
Atoms with the same mass number
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D.
Atoms that are chemically identical
Solution
Isotopes are defined as atoms that have the same number of protons but different numbers of neutrons.
Correct Answer: A — Atoms with the same number of protons but different neutrons
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Q. In the context of atomic structure, what does the term 'quantum leap' refer to? (2022)
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A.
Movement of electrons in a circular path
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B.
Transition of an electron between energy levels
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C.
Emission of light
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D.
Absorption of energy
Solution
A 'quantum leap' refers to the transition of an electron between discrete energy levels in an atom.
Correct Answer: B — Transition of an electron between energy levels
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Q. In the context of communication, which term is least related?
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A.
Verbal
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B.
Non-verbal
-
C.
Written
-
D.
Digital
Solution
'Digital' refers to a medium rather than a method of communication, while the others are types of communication methods.
Correct Answer: D — Digital
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Q. In the context of constraint-based sets, which of the following statements best describes the relationship between constraints and set membership?
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A.
Constraints define the elements that can belong to a set.
-
B.
Constraints are irrelevant to set membership.
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C.
Set membership is determined solely by the number of elements.
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D.
Constraints only apply to finite sets.
Solution
Constraints are essential in defining the criteria for which elements can be included in a set.
Correct Answer: A — Constraints define the elements that can belong to a set.
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Q. In the context of constraint-based sets, which of the following statements best describes the relationship between elements in a set?
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A.
Elements are independent of each other.
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B.
Elements must adhere to specific rules or conditions.
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C.
Elements can be freely added or removed.
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D.
Elements are always numeric.
Solution
In constraint-based sets, elements are defined by specific rules or conditions that govern their inclusion in the set.
Correct Answer: B — Elements must adhere to specific rules or conditions.
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Q. In the context of constraint-based sets, which of the following statements best describes the relationship between constraints and set elements?
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A.
Constraints limit the number of elements in a set.
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B.
Constraints define the properties of the elements in a set.
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C.
Constraints are irrelevant to the elements of a set.
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D.
Constraints can only be applied to numerical sets.
Solution
Constraints define the properties of the elements in a set, guiding which elements can be included based on specific criteria.
Correct Answer: B — Constraints define the properties of the elements in a set.
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Q. In the context of diffraction, what does the term 'angular width' refer to?
-
A.
The angle between the first and second minima
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B.
The angle of incidence
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C.
The angle of reflection
-
D.
The angle of diffraction
Solution
Angular width refers to the angle between the first and second minima in a diffraction pattern.
Correct Answer: A — The angle between the first and second minima
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Q. In the context of diffraction, what does the term 'coherence' refer to?
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A.
The ability of waves to interfere
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B.
The speed of light
-
C.
The intensity of light
-
D.
The wavelength of light
Solution
Coherence refers to the ability of waves to maintain a constant phase relationship, which is essential for producing clear interference patterns.
Correct Answer: A — The ability of waves to interfere
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Q. In the context of diffraction, what does the term 'resolution' refer to?
-
A.
The ability to distinguish between two closely spaced objects
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B.
The intensity of the diffracted light
-
C.
The wavelength of the light used
-
D.
The width of the slit
Solution
Resolution refers to the ability to distinguish between two closely spaced objects, which is affected by diffraction.
Correct Answer: A — The ability to distinguish between two closely spaced objects
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Q. In the context of disaster management, what does the term 'mitigation' refer to? (2020)
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A.
Emergency response during a disaster
-
B.
Long-term strategies to reduce disaster risk
-
C.
Immediate relief measures post-disaster
-
D.
Reconstruction efforts after a disaster
Solution
Mitigation refers to long-term strategies aimed at reducing disaster risk and minimizing the impact of disasters on communities.
Correct Answer: B — Long-term strategies to reduce disaster risk
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Q. In the context of essay writing for UPSC Mains, which of the following approaches is most effective for structuring an argument?
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A.
Chronological order
-
B.
Problem-solution format
-
C.
Random thoughts
-
D.
Descriptive narrative
Solution
The problem-solution format allows for a clear presentation of issues and potential resolutions, making the argument more persuasive.
Correct Answer: B — Problem-solution format
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Q. In the context of essay writing, what is the significance of a well-defined thesis statement?
-
A.
It is optional and can be omitted.
-
B.
It serves as a roadmap for the essay.
-
C.
It limits the scope of discussion.
-
D.
It should be vague to allow flexibility.
Solution
A well-defined thesis statement serves as a roadmap, guiding the structure and focus of the essay, ensuring coherence.
Correct Answer: B — It serves as a roadmap for the essay.
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