Units & Dimensions
Q. If a physical quantity has dimensions [M^2 L^3 T^-1], what could it represent? (2020)
-
A.
Force
-
B.
Pressure
-
C.
Volume flow rate
-
D.
Energy
Solution
The dimensions [M^2 L^3 T^-1] correspond to volume flow rate, which is volume per unit time.
Correct Answer: C — Volume flow rate
Learn More →
Q. If the speed of light is 3 x 10^8 m/s, what is its value in km/s? (2021)
-
A.
3 x 10^5 km/s
-
B.
3 x 10^6 km/s
-
C.
3 x 10^7 km/s
-
D.
3 x 10^8 km/s
Solution
To convert m/s to km/s, divide by 1000. Therefore, 3 x 10^8 m/s = 3 x 10^5 km/s.
Correct Answer: A — 3 x 10^5 km/s
Learn More →
Q. The dimensional formula for frequency is: (2023)
-
A.
[T^-1]
-
B.
[M^0 L^0 T^-1]
-
C.
[M^1 L^1 T^-1]
-
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]
Learn More →
Q. The dimensional formula for velocity is: (2022)
-
A.
[M^0 L^1 T^-1]
-
B.
[M^1 L^1 T^0]
-
C.
[M^1 L^0 T^-1]
-
D.
[M^0 L^0 T^1]
Solution
Velocity is defined as displacement per unit time, hence its dimensional formula is [M^0 L^1 T^-1].
Correct Answer: A — [M^0 L^1 T^-1]
Learn More →
Q. The unit of electric charge in the SI system is: (2022)
-
A.
Coulomb
-
B.
Ampere
-
C.
Volt
-
D.
Ohm
Solution
Coulomb (C) is the SI unit of electric charge.
Correct Answer: A — Coulomb
Learn More →
Q. What is the base unit of temperature in the SI system? (2020)
-
A.
Celsius
-
B.
Fahrenheit
-
C.
Kelvin
-
D.
Rankine
Solution
The base unit of temperature in the SI system is Kelvin (K).
Correct Answer: C — Kelvin
Learn More →
Q. What is the SI unit of electric charge? (2020)
-
A.
Coulomb
-
B.
Ampere
-
C.
Volt
-
D.
Ohm
Solution
The SI unit of electric charge is Coulomb (C).
Correct Answer: A — Coulomb
Learn More →
Q. What is the unit of electric charge in the SI system? (2019)
-
A.
Coulomb
-
B.
Ampere
-
C.
Volt
-
D.
Ohm
Solution
The unit of electric charge is Coulomb (C).
Correct Answer: A — Coulomb
Learn More →
Q. What is the unit of work in the SI system? (2023)
-
A.
Joule
-
B.
Newton
-
C.
Watt
-
D.
Pascal
Solution
The SI unit of work is Joule (J).
Correct Answer: A — Joule
Learn More →
Q. Which of the following is a base unit in the SI system? (2020)
-
A.
Liter
-
B.
Meter
-
C.
Newton
-
D.
Joule
Solution
Meter is a base unit in the SI system, while liter, newton, and joule are derived units.
Correct Answer: B — Meter
Learn More →
Q. Which of the following is the correct dimensional formula for acceleration? (2022)
-
A.
[M^0 L^1 T^-2]
-
B.
[M^1 L^0 T^-2]
-
C.
[M^1 L^1 T^-1]
-
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]
Learn More →
Q. Which of the following is the correct dimensional formula for energy? (2023)
-
A.
[M^1 L^2 T^-2]
-
B.
[M^1 L^1 T^-1]
-
C.
[M^0 L^2 T^-1]
-
D.
[M^2 L^1 T^-2]
Solution
Energy has the dimensional formula [M^1 L^2 T^-2], as it is defined as work done, which is force times distance.
Correct Answer: A — [M^1 L^2 T^-2]
Learn More →
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]
Learn More →
Q. Which of the following is the unit of pressure? (2023)
-
A.
Newton
-
B.
Pascal
-
C.
Joule
-
D.
Watt
Solution
The unit of pressure is Pascal (Pa), which is equivalent to N/m².
Correct Answer: B — Pascal
Learn More →
Q. Which of the following quantities is not a scalar? (2021)
-
A.
Mass
-
B.
Temperature
-
C.
Velocity
-
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
Learn More →
Showing 1 to 15 of 15 (1 Pages)
