Q. Which of the following quadrilaterals has diagonals that bisect each other at right angles?
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A.
Rectangle
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B.
Square
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C.
Rhombus
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D.
Trapezium
Solution
In a rhombus, the diagonals bisect each other at right angles.
Correct Answer: C — Rhombus
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Q. Which of the following quadrilaterals has opposite sides that are both equal and parallel?
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A.
Trapezium
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B.
Parallelogram
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C.
Kite
-
D.
Rhombus
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
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)
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A.
Square
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B.
Rhombus
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C.
Trapezium
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D.
Kite
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)
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A.
Energy
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B.
Pressure
-
C.
Area
-
D.
Velocity
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)
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A.
Angle
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B.
Force
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C.
Velocity
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D.
Acceleration
Solution
Angle is a dimensionless quantity.
Correct Answer: A — Angle
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Q. Which of the following quantities has no dimensions? (2019)
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A.
Force
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B.
Energy
-
C.
Angle
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D.
Pressure
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)
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A.
Velocity
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B.
Acceleration
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C.
Force
-
D.
Work
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)
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A.
Work
-
B.
Power
-
C.
Energy
-
D.
Force
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?
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A.
Force
-
B.
Work
-
C.
Power
-
D.
Pressure
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]?
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A.
Velocity
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B.
Acceleration
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C.
Frequency
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D.
Force
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]?
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A.
Mass
-
B.
Time
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C.
Length
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D.
Angle
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
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B.
Acceleration
-
C.
Force
-
D.
Pressure
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
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B.
Force
-
C.
Power
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D.
Work
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
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]?
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A.
Energy
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B.
Force
-
C.
Power
-
D.
Work
Solution
Energy and work both have the same dimensions of [M⁰L²T⁻²], as they are equivalent.
Correct Answer: A — Energy
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Q. Which of the following quantities has the dimension [M^0 L^0 T^0]?
-
A.
Mass
-
B.
Time
-
C.
Length
-
D.
Angle
Solution
Angle is a dimensionless quantity and has the dimension [M^0 L^0 T^0].
Correct Answer: D — Angle
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Q. Which of the following quantities has the dimension [M^0 L^0 T^1]? (2022)
-
A.
Speed
-
B.
Time
-
C.
Force
-
D.
Energy
Solution
Time has the dimension [M^0 L^0 T^1].
Correct Answer: B — Time
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Q. Which of the following quantities has the dimension [M^0 L^1 T^-1]?
-
A.
Velocity
-
B.
Acceleration
-
C.
Force
-
D.
Pressure
Solution
Velocity has the dimension [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 [M^1 L^2 T^-2]?
-
A.
Energy
-
B.
Force
-
C.
Pressure
-
D.
Power
Solution
Energy has the dimension [M^1 L^2 T^-2].
Correct Answer: A — Energy
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Q. Which of the following quantities is a scalar?
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A.
Velocity
-
B.
Force
-
C.
Acceleration
-
D.
Temperature
Solution
Temperature is a scalar quantity as it has magnitude but no direction, while velocity, force, and acceleration are vector quantities.
Correct Answer: D — Temperature
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Q. Which of the following quantities is a vector? (2019)
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A.
Speed
-
B.
Distance
-
C.
Displacement
-
D.
Mass
Solution
Displacement is a vector quantity as it has both magnitude and direction, while speed, distance, and mass are scalar quantities.
Correct Answer: C — Displacement
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Q. Which of the following quantities is conserved in a closed system of rotating bodies?
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A.
Linear momentum
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B.
Angular momentum
-
C.
Kinetic energy
-
D.
All of the above
Solution
In a closed system, angular momentum is conserved, while linear momentum and kinetic energy may not be.
Correct Answer: B — Angular momentum
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Q. Which of the following quantities is conserved in a closed system with no external torques?
-
A.
Linear momentum
-
B.
Angular momentum
-
C.
Energy
-
D.
All of the above
Solution
In a closed system with no external torques, angular momentum is conserved.
Correct Answer: B — Angular momentum
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Q. Which of the following quantities is conserved in a closed system with no external torques acting on it?
-
A.
Angular momentum
-
B.
Linear momentum
-
C.
Energy
-
D.
All of the above
Solution
In a closed system with no external torques, angular momentum is conserved.
Correct Answer: A — Angular momentum
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Q. Which of the following quantities is conserved in an isolated system when no external torques act?
-
A.
Linear momentum
-
B.
Angular momentum
-
C.
Both linear and angular momentum
-
D.
Neither
Solution
In an isolated system with no external torques, angular momentum is conserved.
Correct Answer: B — Angular momentum
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Q. Which of the following quantities is conserved in an isolated system? (2023)
-
A.
Energy
-
B.
Momentum
-
C.
Mass
-
D.
All of the above
Solution
In an isolated system, energy, momentum, and mass are all conserved.
Correct Answer: D — All of the above
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Q. Which of the following quantities is conserved in the absence of external torques?
-
A.
Linear momentum
-
B.
Angular momentum
-
C.
Energy
-
D.
All of the above
Solution
In the absence of external torques, angular momentum is conserved.
Correct Answer: B — Angular momentum
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Q. Which of the following quantities is dimensionally consistent with energy?
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A.
Force x Distance
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B.
Mass x Acceleration
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C.
Pressure x Volume
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D.
All of the above
Solution
All the options are dimensionally consistent with energy, as they can be expressed in terms of [M^1 L^2 T^-2].
Correct Answer: D — All of the above
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Q. Which of the following quantities is dimensionless?
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A.
Reynolds number
-
B.
Force
-
C.
Energy
-
D.
Pressure
Solution
Reynolds number is dimensionless as it is a ratio of inertial forces to viscous forces.
Correct Answer: A — Reynolds number
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