Questions on Derived Units
Multiple-Choice Questions – Derived Units
1. Which of the following is a derived unit in the SI system?
A) Kilogram
B) Meter
C) Second
D) Newton
E) Kelvin
2. What is the derived SI unit of force?
A) Pascal
B) Joule
C) Watt
D) Newton
E) Ampere
3. What is the unit of pressure in SI derived units?
A) Newton
B) Pascal
C) Watt
D) Coulomb
E) Volt
4. What is the formula for density in terms of SI base units?
A) kg·m
B) m³/kg
C) kg/m³
D) m/kg³
E) kg·m²
5. What is the derived unit for energy?
A) Newton
B) Watt
C) Joule
D) Pascal
E) Ohm
6. Which derived unit represents power?
A) Joule
B) Watt
C) Volt
D) Tesla
E) Ohm
7. The unit Joule is equivalent to:
A) kg·m/s
B) kg·m/s²
C) kg·m²/s²
D) kg/m²·s
E) m²·s²
8. Which of the following is the SI unit for work?
A) Newton
B) Pascal
C) Joule
D) Tesla
E) Watt
9. What does the derived unit Pascal represent?
A) Energy
B) Pressure
C) Charge
D) Magnetic field
E) Speed
10. What is the SI derived unit for electric potential (voltage)?
A) Ampere
B) Coulomb
C) Volt
D) Ohm
E) Tesla
11. The derived unit Watt equals:
A) Joule/second
B) Newton/second
C) Pascal·second
D) Volt·Coulomb
E) Coulomb/second
12. Which unit is used to measure electric resistance?
A) Ampere
B) Coulomb
C) Ohm
D) Volt
E) Tesla
13. Which of the following is NOT a derived unit?
A) Newton
B) Joule
C) Second
D) Pascal
E) Watt
14. The unit Tesla measures:
A) Pressure
B) Magnetic flux density
C) Energy
D) Power
E) Voltage
15. What is the formula for acceleration?
A) m/s
B) kg·m/s²
C) m/s²
D) s/m²
E) kg/s²
16. Which of the following is a scalar derived quantity?
A) Force
B) Acceleration
C) Power
D) Momentum
E) Velocity
17. What is the base unit combination for pressure (Pascal)?
A) kg·m/s²
B) kg/(m·s²)
C) kg·m²/s²
D) kg/m·s
E) m²/s²
18. What derived unit is used for electric charge?
A) Coulomb
B) Volt
C) Ohm
D) Ampere
E) Tesla
19. Which is a valid combination of base units for the Watt?
A) kg·m/s²
B) kg·m²/s³
C) kg·m²/s²
D) m²/s²
E) kg/s²
20. The unit for frequency is:
A) Joule
B) Tesla
C) Hertz
D) Pascal
E) Newton
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Answer Key with Extended Explanations
1. D) Newton
Newton is a derived unit of force (kg·m/s²).
2. D) Newton
SI unit of force = Newton (N), defined as kg·m/s².
3. B) Pascal
1 Pascal = 1 Newton/m² = pressure.
4. C) kg/m³
Density = mass/volume = kg/m³.
5. C) Joule
Joule is the unit of energy or work (kg·m²/s²).
6. B) Watt
Watt = energy per time = J/s.
7. C) kg·m²/s²
1 Joule = 1 kg·m²/s².
8. C) Joule
Work = force × distance = Newton·meter = Joule.
9. B) Pressure
Pressure = force/area = N/m² = Pascal.
10. C) Volt
Volt = electric potential (Joule/Coulomb).
11. A) Joule/second
Watt = power = energy/time = J/s.
12. C) Ohm
Ohm = V/A = unit of electrical resistance.
13. C) Second
Second is a base unit, not derived.
14. B) Magnetic flux density
Tesla measures magnetic field strength.
15. C) m/s²
Acceleration = change in velocity over time.
16. C) Power
Power is scalar (Watt), unlike force or velocity.
17. B) kg/(m·s²)
Pressure = force/area = (kg·m/s²)/m² = kg/(m·s²).
18. A) Coulomb
Coulomb is the SI unit of electric charge.
19. B) kg·m²/s³
Watt = J/s = (kg·m²/s²)/s = kg·m²/s³.
20. C) Hertz
Hertz = frequency = 1/s = cycles per second.
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