Units & Dimensions
Q. Which of the following quantities has the dimension of [M^0 L^1 T^-1]?
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A.
Velocity
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B.
Acceleration
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C.
Force
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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]?
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A.
Energy
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B.
Force
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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]?
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A.
Pressure
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B.
Energy
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C.
Force
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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
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C.
Power
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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]?
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A.
Mass
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B.
Time
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C.
Length
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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^1 T^-1]?
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A.
Velocity
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B.
Acceleration
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C.
Force
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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]?
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A.
Energy
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B.
Force
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C.
Pressure
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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 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
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B.
Force
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C.
Energy
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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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Q. Which of the following quantities is measured in Joules?
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A.
Work
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B.
Power
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C.
Energy
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D.
Both Work and Energy
Solution
Both work and energy are measured in Joules (J) in the SI system.
Correct Answer: D — Both Work and Energy
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