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SI units and prefixes Transitional Reasoning Practice

Physics · Introduction to Physics · Physics · Measurement & Units

9 Physics practice questions on SI units and prefixes. Questions that build towards applied reasoning.

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Questions

  1. 1.

    In a microfluidic sorting system, an electrostatic actuator applies a constant driving force of 60 µN to propel a biological cell through a micro-channel. The cell is displaced along the channel by a distance of 25 mm under the action of this force. What is the total mechanical work done on the cell, expressed in microjoules (µJ)?

    • A) 1.5 µJ
    • B) 15 µJ
    • C) 150 µJ
    • D) 1500 µJ
  2. 2.

    An aerospace engineering team tests a composite alloy for turbine blades and determines that it can withstand a maximum tensile stress of 450 MPa before deforming. Tensile stress is defined as force per unit area, where 1 Pa = 1 N/m². To verify that this value complies with a simulation algorithm configured exclusively with SI base units, how is 450 MPa expressed in terms of kilograms, meters, and seconds?

    • A) 4.5×108 kg⋅m−1⋅s−24.5 \times 10^8\text{ kg}\cdot\text{m}^{-1}\cdot\text{s}^{-2}
    • B) 4.5×108 kg⋅m⋅s−24.5 \times 10^8\text{ kg}\cdot\text{m}\cdot\text{s}^{-2}
    • C) 4.5×105 kg⋅m−1⋅s−24.5 \times 10^5\text{ kg}\cdot\text{m}^{-1}\cdot\text{s}^{-2}
    • D) 4.5×108 kg⋅m−1⋅s−14.5 \times 10^8\text{ kg}\cdot\text{m}^{-1}\cdot\text{s}^{-1}
  3. 3.

    A micro-battery designed for an implantable biosensor is charged at a steady current of 80 µA over an operational period of 2.5 hours. To record the stored charge in an international database that requires standard SI units, a technician must determine the total electric charge transferred in coulombs (C). What is the total electric charge delivered to the battery?

    • A) 0.00020 C
    • B) 0.012 C
    • C) 7.2 C
    • D) 0.72 C
  4. 4.

    A materials scientist evaluates a porous aerogel block developed for thermal insulation in an aerospace instrument. The block has a mass of 180 mg and occupies a volume of 75 cm³. To record the specimen's density in an international database that requires standard SI base units, what is the density of the aerogel block in kg/m³?

    • A) 2.4 kg/m³
    • B) 2400 kg/m³
    • C) 0.42 kg/m³
    • D) 0.0024 kg/m³
  5. 5.

    In a biomedical testing facility, an automated acoustic probe measures the speed of an ultrasonic wave through a synthetic tissue phantom. The probe records that the wave travels a distance of 4.5 cm in a time duration of 30 µs. Based on standard SI prefix definitions, what is the propagation speed of the wave expressed in meters per second (m/s)?

    • A) 1.5 m/s
    • B) 150 m/s
    • C) 1500 m/s
    • D) 15 000 m/s
  6. 6.

    A laboratory filter collects micro-particles from an aerosol sample during an air quality study. A precision balance measures the total collected mass of the particles as 1.8 mg. If each individual particle has an average mass of 4.0 ng, how many particles are present on the filter?

    • A) 4.5×1054.5 \times 10^5
    • B) 4.5×1024.5 \times 10^2
    • C) 4.5×1064.5 \times 10^6
    • D) 4.5×1084.5 \times 10^8
  7. 7.

    An engineer evaluates two pulse generators, X and Y, during a laboratory test. Generator X delivers an average power of 8.0 MW over a pulse duration of 2.5 µs, while Generator Y outputs a total pulse energy of 50 mJ. Based on standard SI prefix definitions, what is the ratio of the energy delivered by Generator X to the energy delivered by Generator Y?

    • A) 400
    • B) 40
    • C) 0.40
    • D) 0.040
  8. 8.

    A biomedical technician prepares an implantable cylindrical micro-capsule that has a uniform cross-sectional area of 4.0 mm² and a length of 15 mm. To ensure standard reporting in an international database, the capsule's volume must be recorded in the SI base unit for volume. What is the volume of this capsule in m³?

    • A) 6.0×10−86.0 \times 10^{-8} m³
    • B) 6.0×10−56.0 \times 10^{-5} m³
    • C) 6.0×10−76.0 \times 10^{-7} m³
    • D) 6.0×10−26.0 \times 10^{-2} m³
  9. 9.

    An electronics technician measures the standby leakage currents of four circuit components during a quality-control test. The recorded currents are 0.04 mA for Component W, 40 µA for Component X, 400 nA for Component Y, and 4×10−54 \times 10^{-5} A for Component Z. Based on standard SI prefix definitions, which components have the exact same leakage current?

    • A) Components W, X, and Z only
    • B) Components W and X only
    • C) Components X and Y only
    • D) Components W, X, Y, and Z

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