Q. Which of the following properties is characteristic of covalent network solids? (2019)
A.
High electrical conductivity
B.
Brittleness
C.
Low melting points
D.
Solubility in water
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Solution
Covalent network solids are typically brittle due to the strong covalent bonds that do not allow for easy deformation.
Correct Answer: B — Brittleness
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Q. Which of the following properties is characteristic of ionic solids? (2021)
A.
High electrical conductivity
B.
Low melting point
C.
Brittleness
D.
Malleability
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Solution
Ionic solids are typically brittle due to the strong electrostatic forces between the ions, which cause them to shatter when force is applied.
Correct Answer: C — Brittleness
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Q. Which of the following properties is characteristic of liquids?
A.
Definite shape
B.
Definite volume
C.
Compressibility
D.
High viscosity
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Solution
Liquids have a definite volume but take the shape of their container.
Correct Answer: B — Definite volume
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Q. Which of the following properties is NOT associated with liquids?
A.
Surface tension
B.
Viscosity
C.
Compressibility
D.
Fluidity
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Solution
Liquids are generally incompressible, so compressibility is not a property associated with them.
Correct Answer: C — Compressibility
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Q. Which of the following properties is NOT typical of elastomers?
A.
High elasticity
B.
Low tensile strength
C.
Good resilience
D.
Brittleness
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Solution
Brittleness is not a typical property of elastomers; they are known for their high elasticity and resilience.
Correct Answer: D — Brittleness
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Q. Which of the following properties is NOT typical of liquids?
A.
High density
B.
Low compressibility
C.
Fixed volume
D.
Fixed shape
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Solution
Liquids have a fixed volume but do not have a fixed shape; they take the shape of their container.
Correct Answer: D — Fixed shape
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Q. Which of the following properties is typical of metallic solids? (2019)
A.
Brittleness
B.
Electrical conductivity
C.
Low melting point
D.
Insulating nature
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Solution
Metallic solids are known for their high electrical conductivity due to the presence of free-moving electrons.
Correct Answer: B — Electrical conductivity
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Q. Which of the following properties of liquids is affected by temperature?
A.
Density
B.
Viscosity
C.
Surface tension
D.
All of the above
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Solution
All these properties change with temperature; for example, viscosity decreases with increasing temperature.
Correct Answer: D — All of the above
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Q. Which of the following provides evidence for evolution through common descent? (2010)
A.
Fossil records
B.
Homologous structures
C.
Vestigial organs
D.
All of the above
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Solution
All of the above options provide evidence for evolution through common descent, showing how different species share common ancestors.
Correct Answer: D — All of the above
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Q. Which of the following quadratic equations has a maximum value?
A.
x² + 4x + 4 = 0
B.
x² - 2x + 1 = 0
C.
x² - 3x + 2 = 0
D.
x² + 2x - 8 = 0
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Solution
A quadratic equation has a maximum value when the coefficient of x² is negative. Here, all options have a positive coefficient, but the first option can be rewritten to show its vertex form.
Correct Answer: A — x² + 4x + 4 = 0
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Q. Which of the following quadrilaterals has all sides equal and opposite angles equal?
A.
Square
B.
Rectangle
C.
Trapezium
D.
Rhombus
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Solution
A rhombus has all sides equal and opposite angles equal.
Correct Answer: D — Rhombus
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Q. Which of the following quadrilaterals has diagonals that are equal in length but not necessarily perpendicular?
A.
Rhombus
B.
Rectangle
C.
Trapezium
D.
Kite
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Solution
In a rectangle, the diagonals are equal in length but are not necessarily perpendicular.
Correct Answer: B — Rectangle
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Q. Which of the following quadrilaterals has diagonals that are equal in length but not perpendicular?
A.
Square
B.
Rectangle
C.
Rhombus
D.
Trapezium
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Solution
In a rectangle, the diagonals are equal in length but not perpendicular.
Correct Answer: B — Rectangle
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Q. Which of the following quadrilaterals has diagonals that are equal in length?
A.
Rhombus
B.
Trapezium
C.
Rectangle
D.
Kite
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Solution
In a rectangle, the diagonals are equal in length.
Correct Answer: C — Rectangle
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Q. Which of the following quadrilaterals has diagonals that are not equal but bisect each other?
A.
Rectangle
B.
Square
C.
Rhombus
D.
Kite
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Solution
In a kite, the diagonals bisect each other but are not equal in length.
Correct Answer: D — Kite
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Q. Which of the following quadrilaterals has opposite sides that are both equal and parallel?
A.
Trapezium
B.
Parallelogram
C.
Kite
D.
Rhombus
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Solution
A parallelogram is defined as a quadrilateral with opposite sides that are both equal and parallel.
Correct Answer: B — Parallelogram
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Q. Which of the following quadrilaterals has opposite sides that are equal and parallel?
A.
Trapezium
B.
Rhombus
C.
Kite
D.
Scalene
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Solution
A rhombus has opposite sides that are equal and parallel, making it a special type of parallelogram.
Correct Answer: B — Rhombus
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Q. Which of the following quadrilaterals has the property that its diagonals are equal in length? (2023)
A.
Square
B.
Rhombus
C.
Trapezium
D.
Kite
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Solution
A square has equal diagonals, which is a property of squares and rectangles.
Correct Answer: A — Square
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Q. Which of the following quantities has dimensions of M^0L^2T^-2? (2021)
A.
Energy
B.
Pressure
C.
Area
D.
Velocity
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Solution
Area has dimensions of M^0L^2T^-2.
Correct Answer: C — Area
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Q. Which of the following quantities has no dimension? (2023)
A.
Angle
B.
Force
C.
Velocity
D.
Acceleration
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Solution
Angle is a dimensionless quantity.
Correct Answer: A — Angle
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Q. Which of the following quantities has no dimensions? (2019)
A.
Force
B.
Energy
C.
Angle
D.
Pressure
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Solution
Angle is a pure number and has no dimensions, while force, energy, and pressure all have dimensions.
Correct Answer: C — Angle
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Q. Which of the following quantities has the dimension M^0L^1T^-1? (2021)
A.
Velocity
B.
Acceleration
C.
Force
D.
Work
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Solution
Velocity has the dimension M^0L^1T^-1.
Correct Answer: A — Velocity
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Q. Which of the following quantities has the dimension M^1L^2T^-2? (2019)
A.
Work
B.
Power
C.
Energy
D.
Force
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Solution
Work has the dimension M^1L^2T^-2.
Correct Answer: A — Work
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Q. Which of the following quantities has the dimension of energy?
A.
Force
B.
Work
C.
Power
D.
Pressure
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Solution
Work is defined as force times distance, and its dimensions are ML^2T^-2, which are the same as energy.
Correct Answer: B — Work
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Q. Which of the following quantities has the dimension of [M^0 L^0 T^-1]?
A.
Velocity
B.
Acceleration
C.
Frequency
D.
Force
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Solution
Frequency has the dimension of [M^0 L^0 T^-1] as it is defined as the number of cycles per unit time.
Correct Answer: C — Frequency
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Q. Which of the following quantities has the dimension of [M^0 L^0 T^0]?
A.
Mass
B.
Time
C.
Length
D.
Angle
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Solution
Angle is a dimensionless quantity and has the dimension of [M^0 L^0 T^0].
Correct Answer: D — Angle
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Q. Which of the following quantities has the dimension of [M^0 L^1 T^-1]?
A.
Velocity
B.
Acceleration
C.
Force
D.
Pressure
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Solution
Velocity has the dimension of [M^0 L^1 T^-1], as it is defined as distance per unit time.
Correct Answer: A — Velocity
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Q. Which of the following quantities has the dimension of [M^0L^2T^-2]?
A.
Energy
B.
Force
C.
Power
D.
Work
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Solution
Energy and work both have the same dimensions of [M^1L^2T^-2]. Power has dimensions of [M^1L^2T^-3].
Correct Answer: A — Energy
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Q. Which of the following quantities has the dimension of [M^1 L^2 T^-2]?
A.
Pressure
B.
Energy
C.
Force
D.
Work
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Solution
Energy has the dimension of [M^1 L^2 T^-2].
Correct Answer: B — Energy
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Q. Which of the following quantities has the dimension of [M⁰L²T⁻²]?
A.
Energy
B.
Force
C.
Power
D.
Work
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Solution
Energy and work both have the same dimensions of [M⁰L²T⁻²], as they are equivalent.
Correct Answer: A — Energy
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