Units & Dimensions
Q. The dimensional formula for frequency is: (2023)
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A.
[T^-1]
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B.
[M^0 L^0 T^-1]
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C.
[M^1 L^1 T^-1]
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D.
[M^0 L^1 T^0]
Solution
Frequency is defined as the number of cycles per unit time, hence its dimensional formula is [T^-1].
Correct Answer: A — [T^-1]
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Q. What is the SI unit of electric charge? (2020)
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A.
Coulomb
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B.
Ampere
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C.
Volt
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D.
Ohm
Solution
The SI unit of electric charge is Coulomb (C).
Correct Answer: A — Coulomb
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Q. What is the unit of electric charge in the SI system? (2019)
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A.
Coulomb
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B.
Ampere
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C.
Volt
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D.
Ohm
Solution
The unit of electric charge is Coulomb (C).
Correct Answer: A — Coulomb
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Q. What is the unit of work in the SI system? (2023)
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A.
Joule
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B.
Newton
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C.
Watt
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D.
Pascal
Solution
The SI unit of work is Joule (J).
Correct Answer: A — Joule
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Q. Which of the following is a base unit in the SI system? (2020)
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A.
Liter
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B.
Meter
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C.
Newton
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D.
Joule
Solution
Meter is a base unit in the SI system, while liter, newton, and joule are derived units.
Correct Answer: B — Meter
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Q. Which of the following is the correct dimensional formula for acceleration? (2022)
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A.
[M^0 L^1 T^-2]
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B.
[M^1 L^0 T^-2]
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C.
[M^1 L^1 T^-1]
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D.
[M^0 L^0 T^-2]
Solution
Acceleration is defined as the change in velocity per unit time, so its dimensional formula is [M^0 L^1 T^-2].
Correct Answer: A — [M^0 L^1 T^-2]
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Q. Which of the following is the correct dimensional formula for frequency? (2021)
-
A.
[M^0 L^0 T^-1]
-
B.
[M^0 L^1 T^-1]
-
C.
[M^1 L^0 T^-1]
-
D.
[M^0 L^0 T^1]
Solution
Frequency has the dimensional formula [M^0 L^0 T^-1].
Correct Answer: A — [M^0 L^0 T^-1]
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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 quantities is not a scalar? (2021)
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A.
Mass
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B.
Temperature
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C.
Velocity
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D.
Speed
Solution
Velocity is a vector quantity as it has both magnitude and direction, while mass, temperature, and speed are scalar quantities.
Correct Answer: C — Velocity
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