JEE Main
Q. Which of the following is an identity?
A.
sin^2 x + cos^2 x = 1
B.
tan x = sin x / cos x
C.
sec x = 1/cos x
D.
All of the above
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Solution
All the given options are trigonometric identities.
Correct Answer: D — All of the above
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Q. Which of the following is equivalent to log_a(b^c)?
A.
c * log_a(b)
B.
log_a(b) / c
C.
log_a(c) + log_a(b)
D.
log_a(b) - c
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Solution
log_a(b^c) = c * log_a(b) by the power rule of logarithms.
Correct Answer: A — c * log_a(b)
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Q. Which of the following is NOT a base unit in the SI system?
A.
Meter
B.
Kilogram
C.
Second
D.
Liter
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Solution
Liter is not a base unit; it is a derived unit for volume, while meter, kilogram, and second are base units.
Correct Answer: D — Liter
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Q. Which of the following is NOT a characteristic of a satellite in a stable orbit?
A.
It experiences no net force.
B.
It moves with constant speed.
C.
It has a constant distance from the Earth.
D.
It is in free fall.
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Solution
A satellite in a stable orbit does experience a net force (gravitational force), but it is in free fall, moving with constant speed along a curved path.
Correct Answer: A — It experiences no net force.
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Q. Which of the following is NOT a characteristic of adsorption?
A.
It is a surface phenomenon.
B.
It is a bulk phenomenon.
C.
It is exothermic in nature.
D.
It reaches equilibrium.
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Solution
Adsorption is a surface phenomenon, while absorption is a bulk phenomenon.
Correct Answer: B — It is a bulk phenomenon.
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Q. Which of the following is NOT a characteristic of chemisorption?
A.
Reversible
B.
High heat of adsorption
C.
Specificity
D.
Monolayer formation
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Solution
Chemisorption is typically irreversible, unlike physisorption which is reversible.
Correct Answer: A — Reversible
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Q. Which of the following is NOT a characteristic of gases?
A.
They have no definite shape.
B.
They are compressible.
C.
They have a definite volume.
D.
They fill the container they are in.
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Solution
Gases do not have a definite volume; they expand to fill their container.
Correct Answer: C — They have a definite volume.
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Q. Which of the following is NOT a characteristic of liquids?
A.
Definite volume
B.
Definite shape
C.
Incompressible
D.
Fluidity
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Solution
Liquids have a definite volume but take the shape of their container, hence they do not have a definite shape.
Correct Answer: B — Definite shape
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Q. Which of the following is not a characteristic of noble gases?
A.
Inertness
B.
Monatomic nature
C.
High reactivity
D.
Low boiling points
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Solution
Noble gases are known for their inertness and low reactivity, making high reactivity incorrect.
Correct Answer: C — High reactivity
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Q. Which of the following is NOT a characteristic of the inductive effect?
A.
Permanent
B.
Distance-dependent
C.
Reversible
D.
Weakens with distance
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Solution
The inductive effect is permanent and weakens with distance, but it is not reversible.
Correct Answer: C — Reversible
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Q. Which of the following is not a characteristic of transition metals?
A.
Variable oxidation states
B.
Formation of colored compounds
C.
High electronegativity
D.
Catalytic properties
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Solution
Transition metals typically have variable oxidation states, form colored compounds, and exhibit catalytic properties, but they do not have high electronegativity.
Correct Answer: C — High electronegativity
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Q. Which of the following is NOT a characteristic of waves?
A.
Reflection
B.
Refraction
C.
Diffraction
D.
Conduction
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Solution
Conduction is a mode of heat transfer, not a characteristic of wave motion. The other options are properties of waves.
Correct Answer: D — Conduction
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Q. Which of the following is NOT a component of a Wheatstone bridge?
A.
Galvanometer
B.
Battery
C.
Inductor
D.
Resistors
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Solution
An inductor is not a component of a Wheatstone bridge; it consists of resistors, a galvanometer, and a battery.
Correct Answer: C — Inductor
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Q. Which of the following is NOT a condition for a Wheatstone bridge to be balanced?
A.
The ratio of resistances must be equal
B.
No current flows through the galvanometer
C.
The resistances must be equal
D.
The potential difference across the galvanometer is zero
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Solution
While the other conditions are necessary for balance, the resistances do not need to be equal, just in the same ratio.
Correct Answer: C — The resistances must be equal
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Q. Which of the following is NOT a condition for Raoult's Law to hold true?
A.
The solution must be ideal.
B.
The solute must be volatile.
C.
The solute and solvent must be miscible.
D.
The temperature must be constant.
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Solution
Raoult's Law applies to ideal solutions, and it is not necessary for the solute to be volatile.
Correct Answer: B — The solute must be volatile.
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Q. Which of the following is NOT a derivative of carboxylic acid?
A.
Ester
B.
Amide
C.
Acid chloride
D.
Alcohol
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Solution
Alcohols are not derivatives of carboxylic acids; they are separate functional groups.
Correct Answer: D — Alcohol
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Q. Which of the following is not a f-block element?
A.
Uranium
B.
Plutonium
C.
Zirconium
D.
Neptunium
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Solution
Zirconium (Zr) is a d-block element, while Uranium, Plutonium, and Neptunium are f-block elements.
Correct Answer: C — Zirconium
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Q. Which of the following is NOT a factor affecting solubility?
A.
Temperature
B.
Pressure
C.
Nature of solute and solvent
D.
Color of solute
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Solution
Color of solute does not affect its solubility; solubility is influenced by temperature, pressure, and the nature of solute and solvent.
Correct Answer: D — Color of solute
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Q. Which of the following is NOT a factor affecting the solubility of a solute in a solvent?
A.
Temperature
B.
Pressure
C.
Nature of solute and solvent
D.
Color of solute
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Solution
The color of the solute does not affect its solubility; solubility is influenced by temperature, pressure, and the nature of the solute and solvent.
Correct Answer: D — Color of solute
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Q. Which of the following is NOT a family of curves?
A.
y = kx^2
B.
y = ksin(x)
C.
y = kx
D.
y = k/x
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Solution
y = kx represents a family of straight lines, but it is not a family of curves.
Correct Answer: C — y = kx
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Q. Which of the following is NOT a function of carbohydrates?
A.
Energy storage
B.
Structural support
C.
Hormone production
D.
Cell recognition
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Solution
Carbohydrates are primarily involved in energy storage, structural support, and cell recognition, but they do not produce hormones.
Correct Answer: C — Hormone production
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Q. Which of the following is NOT a function of lipids?
A.
Energy storage
B.
Insulation
C.
Hormone production
D.
Genetic information storage
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Solution
Lipids do not store genetic information; that function is performed by nucleic acids.
Correct Answer: D — Genetic information storage
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Q. Which of the following is NOT a function of proteins?
A.
Enzymatic activity
B.
Energy storage
C.
Transport of molecules
D.
Cell signaling
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Solution
While proteins can be involved in energy metabolism, they are not primarily used for energy storage; carbohydrates and fats serve that purpose.
Correct Answer: B — Energy storage
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Q. Which of the following is not a fundamental force of nature?
A.
Gravitational force
B.
Electromagnetic force
C.
Nuclear force
D.
Frictional force
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Solution
Frictional force is not a fundamental force of nature; it is a macroscopic force resulting from the interaction of surfaces.
Correct Answer: D — Frictional force
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Q. Which of the following is NOT a fundamental quantity?
A.
Length
B.
Mass
C.
Time
D.
Force
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Solution
Force is not a fundamental quantity; it is a derived quantity based on mass, length, and time.
Correct Answer: D — Force
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Q. Which of the following is not a fundamental unit?
A.
Meter
B.
Kilogram
C.
Second
D.
Joule
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Solution
Joule is not a fundamental unit; it is a derived unit.
Correct Answer: D — Joule
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Q. Which of the following is not a hydrogen compound?
A.
H2O
B.
NH3
C.
CH4
D.
CO2
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Solution
Carbon dioxide (CO2) is not a hydrogen compound as it does not contain hydrogen.
Correct Answer: D — CO2
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Q. Which of the following is NOT a method of producing polarized light?
A.
Reflection
B.
Refraction
C.
Scattering
D.
Diffraction
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Solution
Diffraction does not produce polarized light; it is a phenomenon related to the bending of waves around obstacles.
Correct Answer: D — Diffraction
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Q. Which of the following is NOT a method to increase the rate of adsorption?
A.
Increasing temperature
B.
Increasing surface area
C.
Increasing pressure
D.
Decreasing particle size
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Solution
Increasing temperature generally decreases the rate of adsorption for exothermic processes, while the other options increase the rate.
Correct Answer: A — Increasing temperature
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Q. Which of the following is not a p-block element?
A.
Carbon
B.
Boron
C.
Sodium
D.
Nitrogen
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Solution
Sodium is an s-block element, while the others are p-block elements.
Correct Answer: C — Sodium
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