Q. If a physical quantity has dimensions [M^0 L^1 T^-1], what is it? (2020)
-
A.
Velocity
-
B.
Acceleration
-
C.
Force
-
D.
Energy
Solution
The dimensions [M^0 L^1 T^-1] correspond to velocity, which is defined as distance traveled per unit time.
Correct Answer:
A
— Velocity
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Q. If a physical quantity has dimensions [M^2 L^3 T^-1], what could it represent? (2020)
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A.
Force
-
B.
Pressure
-
C.
Volume flow rate
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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
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Q. If the mass of an object is measured in kilograms and its volume in cubic meters, what is the unit of density? (2022)
-
A.
kg/m
-
B.
kg/m^3
-
C.
m^3/kg
-
D.
m/kg
Solution
Density is defined as mass per unit volume, so the unit of density is kg/m³.
Correct Answer:
B
— kg/m^3
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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
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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
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Q. The dimensional formula for energy is: (2020)
-
A.
[M^1 L^2 T^-2]
-
B.
[M^2 L^1 T^-2]
-
C.
[M^0 L^2 T^0]
-
D.
[M^1 L^0 T^-1]
Solution
Energy is defined as work done, which has the dimensional formula [M^1 L^2 T^-2].
Correct Answer:
A
— [M^1 L^2 T^-2]
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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]
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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]
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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
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Q. The unit of energy equivalent to 1 Joule is: (2023)
-
A.
1 kg·m²/s²
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B.
1 N·m
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C.
Both 1 kg·m²/s² and 1 N·m
-
D.
None of the above
Solution
1 Joule is defined as 1 kg·m²/s² and also equals 1 N·m, hence both are correct.
Correct Answer:
C
— Both 1 kg·m²/s² and 1 N·m
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Q. The unit of energy in the CGS system is: (2020)
-
A.
Joule
-
B.
Erg
-
C.
Calorie
-
D.
Watt
Solution
In the CGS system, the unit of energy is Erg, where 1 Joule = 10^7 Ergs.
Correct Answer:
B
— Erg
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Q. The unit of energy in the SI system is equivalent to which of the following? (2020)
-
A.
Joule
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B.
Newton-meter
-
C.
Both A and B
-
D.
None of the above
Solution
Energy is measured in Joules, and 1 Joule is defined as 1 Newton-meter, hence both A and B are correct.
Correct Answer:
C
— Both A and B
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Q. What is the base unit of temperature in the SI system? (2020)
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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
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Q. What is the relationship between the units of energy (Joule) and force (Newton)? (2021)
-
A.
1 J = 1 N·m
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B.
1 J = 1 N/m
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C.
1 J = 1 m/N
-
D.
1 J = 1 N^2
Solution
1 Joule is defined as the work done when a force of one Newton moves an object one meter, hence 1 J = 1 N·m.
Correct Answer:
A
— 1 J = 1 N·m
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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
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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
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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
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Q. Which of the following is a base quantity? (2020)
-
A.
Force
-
B.
Energy
-
C.
Length
-
D.
Pressure
Solution
Length is a base quantity in the SI system, while force, energy, and pressure are derived quantities.
Correct Answer:
C
— Length
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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
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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]
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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]
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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)
-
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
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Q. Which of the following quantities has no dimensions? (2019)
-
A.
Force
-
B.
Energy
-
C.
Angle
-
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 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
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