Q. Which of the following statements about circularly polarized light is true?
A.
It has no preferred direction of oscillation
B.
It oscillates in a single plane
C.
It can be converted to linearly polarized light
D.
It is always produced by reflection
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Solution
Circularly polarized light has no preferred direction of oscillation; the electric field vector rotates in a circular motion.
Correct Answer: A — It has no preferred direction of oscillation
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Q. Which of the following statements about colligative properties is true?
A.
They depend on the identity of the solute
B.
They depend on the number of solute particles
C.
They are independent of temperature
D.
They are only applicable to ionic compounds
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Solution
Colligative properties depend on the number of solute particles in a solution, not their identity.
Correct Answer: B — They depend on the number of solute particles
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Q. Which of the following statements about constraint-based sets is true?
A.
All constraints are equal in importance.
B.
Constraints can be hierarchical.
C.
Constraints do not affect the outcome.
D.
Constraints are always numerical.
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Solution
Constraints can be hierarchical, meaning some constraints may take precedence over others in determining set membership.
Correct Answer: B — Constraints can be hierarchical.
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Q. Which of the following statements about constraints in set theory is FALSE?
A.
Constraints can be both inclusive and exclusive.
B.
Constraints can change the nature of the set.
C.
All constraints must be numerical.
D.
Constraints help in defining subsets.
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Solution
The statement that 'all constraints must be numerical' is false; constraints can be based on various properties, not just numerical.
Correct Answer: C — All constraints must be numerical.
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Q. Which of the following statements about coordination compounds is incorrect? (2023)
A.
They can exhibit geometric isomerism.
B.
They can exhibit optical isomerism.
C.
All coordination compounds are colored.
D.
They can form complexes with transition metals.
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Solution
Not all coordination compounds are colored; the color depends on the nature of the metal and the ligands involved. Some coordination compounds can be colorless.
Correct Answer: C — All coordination compounds are colored.
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Q. Which of the following statements about diffraction gratings is true?
A.
They can only produce first-order maxima
B.
They can produce multiple orders of maxima
C.
They do not produce any maxima
D.
They only work with monochromatic light
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Solution
Diffraction gratings can produce multiple orders of maxima due to the constructive interference of light waves.
Correct Answer: B — They can produce multiple orders of maxima
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Q. Which of the following statements about diffraction is true?
A.
Diffraction can occur with any type of wave
B.
Diffraction only occurs with sound waves
C.
Diffraction is only observed in light waves
D.
Diffraction is a phenomenon exclusive to electromagnetic waves
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Solution
Diffraction can occur with any type of wave, including sound, light, and water waves.
Correct Answer: A — Diffraction can occur with any type of wave
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Q. Which of the following statements about dynamic equilibrium is true?
A.
The concentrations of reactants and products are equal
B.
The rate of the forward reaction equals the rate of the reverse reaction
C.
The reaction has stopped
D.
The system is at rest
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Solution
In dynamic equilibrium, the rates of the forward and reverse reactions are equal, but the concentrations of reactants and products may not be equal.
Correct Answer: B — The rate of the forward reaction equals the rate of the reverse reaction
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Q. Which of the following statements about elastic potential energy stored in a stretched wire is true?
A.
It is proportional to the square of the extension
B.
It is proportional to the extension
C.
It is independent of the material
D.
It is always constant
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Solution
The elastic potential energy stored in a stretched wire is given by U = (1/2) * F * x, which is proportional to the square of the extension.
Correct Answer: A — It is proportional to the square of the extension
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Q. Which of the following statements about electric field lines is true?
A.
They can cross each other
B.
They are always straight
C.
They point from positive to negative charges
D.
They are always circular
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Solution
Electric field lines point from positive to negative charges, indicating the direction of the electric field.
Correct Answer: C — They point from positive to negative charges
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Q. Which of the following statements about electromagnetic waves is true?
A.
They require a medium to propagate
B.
They travel at the speed of sound
C.
They are transverse waves
D.
They are longitudinal waves
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Solution
Electromagnetic waves are transverse waves that do not require a medium to propagate and travel at the speed of light in a vacuum.
Correct Answer: C — They are transverse waves
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Q. Which of the following statements about electrons is true?
A.
They have a positive charge
B.
They are found in the nucleus
C.
They have a negligible mass
D.
They are stationary
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Solution
Electrons have a negligible mass compared to protons and neutrons.
Correct Answer: C — They have a negligible mass
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Q. Which of the following statements about enthalpy is true?
A.
Enthalpy is an extensive property.
B.
Enthalpy is an intensive property.
C.
Enthalpy cannot be measured directly.
D.
Enthalpy is always positive.
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Solution
Enthalpy is an extensive property, meaning it depends on the amount of substance present.
Correct Answer: A — Enthalpy is an extensive property.
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Q. Which of the following statements about entropy is true?
A.
Entropy is a measure of disorder.
B.
Entropy decreases in spontaneous processes.
C.
Entropy is always constant.
D.
Entropy cannot be calculated.
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Solution
Entropy is a measure of disorder in a system.
Correct Answer: A — Entropy is a measure of disorder.
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Q. Which of the following statements about equilibrium constants is true?
A.
K is temperature dependent
B.
K is pressure dependent
C.
K is concentration dependent
D.
K is always equal to 1
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Solution
The equilibrium constant K is dependent on temperature; changing the temperature will change the value of K.
Correct Answer: A — K is temperature dependent
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Q. Which of the following statements about ethers is true?
A.
Ethers are more polar than alcohols
B.
Ethers have higher boiling points than alcohols
C.
Ethers are less reactive than alcohols
D.
Ethers can form hydrogen bonds with water
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Solution
Ethers are generally less reactive than alcohols due to the absence of a hydroxyl group.
Correct Answer: C — Ethers are less reactive than alcohols
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Q. Which of the following statements about evolution is true? (2000)
A.
Evolution is a linear process.
B.
Evolution can occur in response to environmental changes.
C.
All traits are adaptive.
D.
Evolution results in perfect organisms.
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Solution
Evolution can occur in response to environmental changes, allowing species to adapt to new conditions over time.
Correct Answer: B — Evolution can occur in response to environmental changes.
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Q. Which of the following statements about exponents is false?
A.
a^m * a^n = a^(m+n)
B.
a^m / a^n = a^(m-n)
C.
a^0 = 0
D.
a^(-n) = 1/a^n
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Solution
The statement a^0 = 0 is false; in fact, a^0 = 1 for any non-zero a.
Correct Answer: C — a^0 = 0
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Q. Which of the following statements about exponents is incorrect?
A.
a^(m+n) = a^m * a^n
B.
a^(m-n) = a^m / a^n
C.
a^m * b^m = (ab)^m
D.
a^m + a^n = a^(m+n)
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Solution
The statement a^m + a^n = a^(m+n) is incorrect; addition of exponents does not apply in this manner.
Correct Answer: D — a^m + a^n = a^(m+n)
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Q. Which of the following statements about factors is incorrect?
A.
Every number has at least two factors.
B.
Factors can be negative.
C.
The number itself is always a factor.
D.
Factors of a prime number are only 1 and the number itself.
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Solution
Every number has at least two factors: 1 and the number itself, but some numbers can have more than two factors.
Correct Answer: A — Every number has at least two factors.
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Q. Which of the following statements about fluids is true?
A.
Fluids can only flow in one direction
B.
Fluids have a definite shape
C.
Fluids can exert pressure in all directions
D.
Fluids are incompressible
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Solution
Fluids can exert pressure in all directions, which is a fundamental property of fluids.
Correct Answer: C — Fluids can exert pressure in all directions
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Q. Which of the following statements about gases is true? (2022)
A.
Gases have a definite shape and volume
B.
Gases are incompressible
C.
Gases fill the entire volume of their container
D.
Gases have a fixed molecular arrangement
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Solution
Gases fill the entire volume of their container due to the high kinetic energy of their particles, allowing them to spread out.
Correct Answer: C — Gases fill the entire volume of their container
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Q. Which of the following statements about geometric progressions is true?
A.
The ratio of consecutive terms is constant.
B.
The sum of terms is always positive.
C.
The first term must be greater than the second.
D.
The common ratio can only be an integer.
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Solution
In a geometric progression, the ratio of consecutive terms is indeed constant, which defines the progression.
Correct Answer: A — The ratio of consecutive terms is constant.
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Q. Which of the following statements about geostationary satellites is true?
A.
They orbit the Earth in a polar orbit
B.
They have a period of 24 hours
C.
They are closer to the Earth than low Earth orbit satellites
D.
They can be used for global positioning
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Solution
Geostationary satellites have an orbital period equal to the Earth's rotation period, which is 24 hours.
Correct Answer: B — They have a period of 24 hours
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Q. Which of the following statements about gravitational potential energy (U) is true?
A.
U increases as two masses move closer together
B.
U decreases as two masses move closer together
C.
U is always positive
D.
U is independent of distance
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Solution
Gravitational potential energy decreases as two masses move closer together, as U = -G * (m1 * m2) / r.
Correct Answer: B — U decreases as two masses move closer together
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Q. Which of the following statements about gravitational potential energy is true?
A.
It is always positive.
B.
It can be negative.
C.
It is independent of the reference point.
D.
It increases with distance.
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Solution
Gravitational potential energy can be negative depending on the reference point chosen.
Correct Answer: B — It can be negative.
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Q. Which of the following statements about haloalkanes is true?
A.
They are polar compounds
B.
They are non-polar compounds
C.
They do not react with nucleophiles
D.
They are always solids
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Solution
Haloalkanes are polar compounds due to the electronegativity difference between carbon and halogen.
Correct Answer: A — They are polar compounds
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Q. Which of the following statements about harmonic progression is true?
A.
The sum of the terms is always positive.
B.
The terms can be negative.
C.
The terms are always integers.
D.
The common difference is always positive.
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Solution
In a harmonic progression, the terms can be negative as long as their reciprocals form an arithmetic progression.
Correct Answer: B — The terms can be negative.
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Q. Which of the following statements about hybrid sets is true?
A.
Hybrid sets can only contain numerical elements.
B.
The union of two hybrid sets is always a hybrid set.
C.
Hybrid sets cannot be empty.
D.
The intersection of two hybrid sets is always empty.
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Solution
The union of two hybrid sets combines all unique elements from both sets, thus it remains a hybrid set.
Correct Answer: B — The union of two hybrid sets is always a hybrid set.
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Q. Which of the following statements about hydrogen is incorrect? (2019)
A.
Hydrogen is the lightest element.
B.
Hydrogen can form covalent bonds.
C.
Hydrogen exists as a diatomic molecule in nature.
D.
Hydrogen is a metal at room temperature.
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Solution
Hydrogen is a non-metal at room temperature and does not exhibit metallic properties.
Correct Answer: D — Hydrogen is a metal at room temperature.
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