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SECTION 1: SI UNITS & UNIT CONVERSIONS Q1 – Q10
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Question 1 of 50
A physics student measures the length of a laboratory optics bench and records the value as
1.85 meters. For a calculation involving wavelength, the student needs this distance
expressed in millimeters.
A. 1850 mm ✓ CORRECT
B. 18.5 mm
C. 0.185 mm
D. 185 mm
Correct Answer: A
Rationale: Converting meters to millimeters requires multiplying by 1000, since the prefix
milli- represents 10⁻³; therefore, 1.85 m × 1000 mm/m = 1850 mm. Choice B incorrectly
divides by 100 instead of multiplying, confusing the direction of metric prefix conversion.
Remember that moving from a larger base unit to a smaller prefixed unit always yields a
larger numerical value.
Question 2 of 50
An automotive engineer needs to express the engine displacement of 2500 cm³ strictly in SI
base units for a technical report submitted to an international standards committee.
A. 2500 m³
B. 2.5 × 10⁻³ m³ ✓ CORRECT
C. 25 m³
D. 0.25 m³
,Correct Answer: B
Rationale: Since 1 cm = 10⁻² m, then 1 cm³ = (10⁻² m)³ = 10⁻⁶ m³; multiplying 2500 cm³ by
10⁻⁶ m³/cm³ gives 2.5 × 10⁻³ m³. Choice A fails to cube the conversion factor, treating cubic
centimeters as if they were linear centimeters. When converting volume units, always cube
the linear conversion factor.
Question 3 of 50
A nurse administers an intravenous medication at a precise rate of 0.75 mg per minute. The
attending physician asks how many micrograms the patient will receive over a continuous
4-hour infusion.
A. 180 μg
B. 4500 μg
C. 180000 μg ✓ CORRECT
D. 3000 μg
Correct Answer: C
Rationale: First convert 4 hours to 240 minutes, then multiply by 0.75 mg/min to obtain 180
mg; since 1 mg = 1000 μg, the total is 180 × 1000 = 180000 μg. Choice A results from
forgetting to convert hours to minutes and using only 4 minutes in the calculation. Always
verify that time units are consistent before performing dosage calculations.
Question 4 of 50
At a collegiate track meet, a sprinter covers 100 meters in 9.58 seconds. A sports physicist
wants to report the athlete's average speed in kilometers per hour for a broadcast graphic.
A. 10.4 km/h
B. 27.8 km/h
C. 15.6 km/h
D. 37.6 km/h ✓ CORRECT
Correct Answer: D
Rationale: Average speed equals distance divided by time, so 100 m / 9.58 s = 10.438 m/s;
converting to km/h requires multiplying by 3.6, yielding approximately 37.6 km/h. Choice B
incorrectly divides by 3.6 instead of multiplying, which is a common direction error when
converting between m/s and km/h. A useful memory aid is that 1 m/s = 3.6 km/h, so the
numerical value in km/h must be larger.
Question 5 of 50
A water storage tank at a research facility holds exactly 5000 liters when filled to capacity. At
4°C, what is the mass of the water in kilograms? (Density of water at 4°C = 1.00 g/cm³)
, A. 5000 kg ✓ CORRECT
B. 500 kg
C. 50000 kg
D. 50 kg
Correct Answer: A
Rationale: Since 1 liter equals 1000 cm³ and the density of water is 1.00 g/cm³, 5000 liters
corresponds to 5.00 × 10⁶ cm³ with a mass of 5.00 × 10⁶ g, which converts to 5000 kg.
Choice B incorrectly uses a conversion factor of 10 instead of 1000 when moving from grams
to kilograms. Note that for water at 4°C, the numerical value in grams equals the numerical
value in cubic centimeters, making liter-to-kilogram conversions straightforward.
Question 6 of 50
In a dynamics experiment, a force of 45 N is applied to push a cart across a horizontal track.
A student is asked to express this force entirely in fundamental SI base units.
A. 45 kg·m/s
B. 45 kg·m/s² ✓ CORRECT
C. 45 kg·m²/s²
D. 45 kg/s²
Correct Answer: B
Rationale: The newton is a derived unit defined as 1 N = 1 kg·m/s², so 45 N equals 45 kg·m/s²
in base units. Choice C confuses force with energy or work, since kg·m²/s² represents the
joule. When decomposing derived units, always trace back to the defining equation F = ma to
ensure the correct combination of mass, length, and time.
Question 7 of 50
A highway traffic study records a vehicle traveling at 65 miles per hour. An engineer needs
this speed converted to meters per second for a simulation model. (1 mile = 1609 m)
A. 104 m/s
B. 29 m/s
C. 29.0 m/s ✓ CORRECT
D. 17.4 m/s
Correct Answer: C
Rationale: Multiply 65 mi/h by 1609 m/mi and divide by 3600 s/h to obtain 29.05 m/s, which
rounds to 29.0 m/s when reported with three significant figures. Choice B presents the
correct numerical value but drops the trailing zero, failing to maintain the precision implied by
the given data. In physics calculations, preserve significant figures to reflect measurement
uncertainty.