Q. Which of the following is the unit of pressure? (2023)
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A.
Newton
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B.
Pascal
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C.
Joule
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D.
Watt
Solution
The unit of pressure is Pascal (Pa), which is equivalent to N/m².
Correct Answer: B — Pascal
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Q. Which of the following is the upper house of the State Legislature?
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A.
Lok Sabha
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B.
Rajya Sabha
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C.
Vidhan Sabha
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D.
Vidhan Parishad
Solution
Vidhan Parishad is the upper house of the State Legislature.
Correct Answer: D — Vidhan Parishad
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Q. Which of the following is true about a buffer solution?
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A.
Resists changes in pH
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B.
Has a pH of 7
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C.
Contains only strong acids
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D.
Is always neutral
Solution
A buffer solution resists changes in pH upon the addition of small amounts of acid or base.
Correct Answer: A — Resists changes in pH
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Q. Which of the following is true about a saturated solution?
-
A.
It contains more solute than can dissolve
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B.
It contains less solute than can dissolve
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C.
It is always at boiling point
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D.
It is always at freezing point
Solution
A saturated solution contains the maximum amount of solute that can dissolve at a given temperature.
Correct Answer: A — It contains more solute than can dissolve
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Q. Which of the following is true about an exothermic reaction?
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A.
ΔH is positive
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B.
ΔH is negative
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C.
ΔH is zero
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D.
ΔH can be either positive or negative
Solution
In an exothermic reaction, the enthalpy change (ΔH) is negative because heat is released.
Correct Answer: B — ΔH is negative
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Q. Which of the following is true about brittle materials? (2023)
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A.
They can undergo large deformations
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B.
They exhibit high ductility
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C.
They fracture without significant plastic deformation
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D.
They are always elastic
Solution
Brittle materials fracture without significant plastic deformation.
Correct Answer: C — They fracture without significant plastic deformation
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Q. Which of the following is true about elastic potential energy stored in a stretched wire?
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A.
It is proportional to the square of the elongation
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B.
It is proportional to the elongation
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C.
It is independent of the elongation
-
D.
It is inversely proportional to the elongation
Solution
The elastic potential energy stored in a stretched wire is given by U = (1/2) * Y * (ΔL^2 / L), which is proportional to the square of the elongation.
Correct Answer: A — It is proportional to the square of the elongation
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Q. Which of the following is true about exothermic reactions? (2022)
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A.
They absorb heat.
-
B.
They release heat.
-
C.
They have a positive ΔH.
-
D.
They are always spontaneous.
Solution
Exothermic reactions release heat to the surroundings, resulting in a negative change in enthalpy (ΔH < 0).
Correct Answer: B — They release heat.
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Q. Which of the following is true about significant figures?
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A.
All zeros are significant
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B.
Leading zeros are significant
-
C.
Trailing zeros in a whole number are significant
-
D.
Trailing zeros in a decimal are significant
Solution
Trailing zeros in a decimal are significant.
Correct Answer: D — Trailing zeros in a decimal are significant
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Q. Which of the following is true about the adsorption of gases on solids? (2023)
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A.
It is always an exothermic process
-
B.
It is always an endothermic process
-
C.
It can be either exothermic or endothermic
-
D.
It does not involve energy changes
Solution
The adsorption of gases on solids is typically an exothermic process, as energy is released when the gas molecules adhere to the surface.
Correct Answer: A — It is always an exothermic process
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Q. Which of the following is true about the classification of living organisms? (2022)
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A.
It is static and unchanging
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B.
It is based on evolutionary relationships
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C.
It does not consider genetic information
-
D.
It is only based on morphological features
Solution
Modern classification is based on evolutionary relationships, including genetic information.
Correct Answer: B — It is based on evolutionary relationships
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Q. Which of the following is true about the entropy of a system?
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A.
It always decreases.
-
B.
It is a measure of disorder.
-
C.
It is independent of temperature.
-
D.
It can never increase.
Solution
Entropy is a measure of disorder in a system, and it tends to increase in spontaneous processes.
Correct Answer: B — It is a measure of disorder.
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Q. Which of the following is true about the escape velocity from the surface of the Earth?
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A.
It is independent of the mass of the object
-
B.
It is dependent on the mass of the Earth
-
C.
It is dependent on the radius of the Earth
-
D.
All of the above
Solution
Escape velocity is independent of the mass of the object, but it depends on the mass and radius of the Earth.
Correct Answer: D — All of the above
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Q. Which of the following is true about the expression 2^(x+y)?
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A.
It can be expressed as 2^x + 2^y.
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B.
It can be expressed as 2^x * 2^y.
-
C.
It is always greater than 2.
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D.
It is equal to 2 when x and y are both 0.
Solution
Using the property of exponents, 2^(x+y) = 2^x * 2^y.
Correct Answer: B — It can be expressed as 2^x * 2^y.
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Q. Which of the following is true about the Freundlich adsorption isotherm?
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A.
It applies only to monolayer adsorption
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B.
It is applicable to heterogeneous surfaces
-
C.
It assumes a fixed number of adsorption sites
-
D.
It is a linear isotherm
Solution
The Freundlich adsorption isotherm is applicable to heterogeneous surfaces and describes multilayer adsorption.
Correct Answer: B — It is applicable to heterogeneous surfaces
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Q. Which of the following is true about the Gibbs free energy change (ΔG) for a spontaneous process?
-
A.
ΔG > 0
-
B.
ΔG < 0
-
C.
ΔG = 0
-
D.
ΔG is always positive
Solution
For a spontaneous process, the Gibbs free energy change (ΔG) is less than 0 (ΔG < 0).
Correct Answer: B — ΔG < 0
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Q. Which of the following is true about the Gibbs free energy change (ΔG)?
-
A.
ΔG < 0 indicates a spontaneous process
-
B.
ΔG > 0 indicates a spontaneous process
-
C.
ΔG = 0 indicates a non-spontaneous process
-
D.
ΔG is always positive
Solution
A negative Gibbs free energy change (ΔG < 0) indicates that the process is spontaneous.
Correct Answer: A — ΔG < 0 indicates a spontaneous process
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Q. Which of the following is true about the heat capacity of a substance?
-
A.
It is always constant
-
B.
It depends on the amount of substance
-
C.
It is independent of temperature
-
D.
It is the same for all substances
Solution
Heat capacity depends on the amount of substance; it is not a constant value.
Correct Answer: B — It depends on the amount of substance
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Q. Which of the following is true about the International Date Line?
-
A.
It is at 0° longitude
-
B.
It is at 180° longitude
-
C.
It is at 90° longitude
-
D.
It is at 45° longitude
Solution
The International Date Line is located at 180° longitude.
Correct Answer: B — It is at 180° longitude
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Q. Which of the following is true about the law of conservation of energy?
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A.
Energy can be created
-
B.
Energy can be destroyed
-
C.
Energy can be transformed
-
D.
Energy is always lost
Solution
The law of conservation of energy states that energy cannot be created or destroyed, but it can be transformed from one form to another.
Correct Answer: C — Energy can be transformed
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Q. Which of the following is true about the number 2500?
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A.
It has 2 significant figures
-
B.
It has 3 significant figures
-
C.
It has 4 significant figures
-
D.
It has infinite significant figures
Solution
2500 has 2 significant figures unless specified with a decimal point.
Correct Answer: A — It has 2 significant figures
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Q. Which of the following is true about the period of a satellite in a low Earth orbit compared to a satellite in a high Earth orbit?
-
A.
The period is longer for low Earth orbit
-
B.
The period is shorter for low Earth orbit
-
C.
The periods are the same
-
D.
It depends on the satellite's mass
Solution
The period of a satellite in a low Earth orbit is shorter than that of a satellite in a high Earth orbit due to the stronger gravitational pull.
Correct Answer: B — The period is shorter for low Earth orbit
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Q. Which of the following is true about the period of a satellite in a low Earth orbit compared to a satellite in a geostationary orbit?
-
A.
The period is longer for the low Earth orbit
-
B.
The period is shorter for the low Earth orbit
-
C.
The periods are the same
-
D.
The period depends on the satellite's mass
Solution
A satellite in a low Earth orbit has a shorter orbital period compared to a geostationary satellite due to its closer proximity to Earth.
Correct Answer: B — The period is shorter for the low Earth orbit
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Q. Which of the following is true about the roots of a polynomial of odd degree?
-
A.
It has an even number of roots.
-
B.
It has at least one real root.
-
C.
It has no real roots.
-
D.
It has exactly two real roots.
Solution
A polynomial of odd degree must have at least one real root due to the Intermediate Value Theorem.
Correct Answer: B — It has at least one real root.
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Q. Which of the following is true about the roots of the polynomial P(x) = x^2 + 4x + 4?
-
A.
It has two distinct real roots.
-
B.
It has one real root with multiplicity 2.
-
C.
It has no real roots.
-
D.
It has two complex roots.
Solution
The polynomial can be factored as (x + 2)^2, indicating it has one real root with multiplicity 2.
Correct Answer: B — It has one real root with multiplicity 2.
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Q. Which of the following is true about the roots of the polynomial x^2 + 4x + 4?
-
A.
It has two distinct real roots.
-
B.
It has one real root with multiplicity 2.
-
C.
It has no real roots.
-
D.
It has two complex roots.
Solution
The polynomial can be factored as (x + 2)(x + 2), indicating it has one real root with multiplicity 2.
Correct Answer: B — It has one real root with multiplicity 2.
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Q. Which of the following is true about the shear modulus of a material? (2023)
-
A.
It measures the material's response to shear stress
-
B.
It is always greater than Young's modulus
-
C.
It is independent of temperature
-
D.
It is the same as bulk modulus
Solution
Shear modulus (G) measures the material's response to shear stress, indicating how it deforms under such stress.
Correct Answer: A — It measures the material's response to shear stress
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Q. Which of the following is true about viruses? (2022)
-
A.
They are prokaryotic
-
B.
They can reproduce independently
-
C.
They are acellular
-
D.
They have a cellular structure
Solution
Viruses are acellular and cannot reproduce independently; they require a host cell.
Correct Answer: C — They are acellular
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Q. Which of the following is true for a satellite in a low Earth orbit?
-
A.
It has a very high orbital speed
-
B.
It has a very low orbital speed
-
C.
It does not experience any gravitational force
-
D.
It is not affected by atmospheric drag
Solution
A satellite in a low Earth orbit has a very high orbital speed due to the proximity to the Earth and the gravitational pull.
Correct Answer: A — It has a very high orbital speed
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Q. Which of the following is true for all angles A?
-
A.
sin^2 A + cos^2 A = 1
-
B.
tan A = sin A/cos A
-
C.
sec A = 1/cos A
-
D.
All of the above
Solution
All the given identities are true for all angles A.
Correct Answer: D — All of the above
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