Precision, Accuracy and Dimensions

46 MCQs This test covers the rules for significant figures, rounding, precision versus accuracy and the assessment of total uncertainty. It also covers dimensions of physical quantities, checking equations and deriving formulas by dimensional analysis.

MCQs

46 questions · 35 min · 46 marks

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Sample questions

The first 5 of 46. Try each one, then tap to see the answer.

  1. Question 1

    The product 2.2 x 2.089 m^2 expressed to the appropriate number of significant figures is:

    • A4.595 m^2
    • B4.59 m^2
    • C4.60 m^2
    • D4.6 m^2
    Show answer

    Answer: D

    The least accurate factor 2.2 has two significant figures so the answer is 4.6 m^2.

  2. Question 2

    The result of the division 45.2 / 6.0 in the appropriate number of significant figures is:

    • A7.5
    • B7.53
    • C7.533
    • D7.5333
    Show answer

    Answer: A

    6.0 has two significant figures so the quotient is written as 7.5.

  3. Question 3

    The result of 24.4 m x 100.0 m / 5.0 m in the appropriate number of significant figures is:

    • A488 m
    • B4900 m
    • C4.88 x 10^2 m
    • D4.9 x 10^2 m
    Show answer

    Answer: D

    The least accurate factor 5.0 has two significant figures so the answer is 4.9 x 10^2 m.

  4. Question 4

    The dimensions of energy are:

    • A[MLT^-2]
    • B[ML^2T^-2]
    • C[ML^2T^-3]
    • D[ML^-1T^-2]
    Show answer

    Answer: B

    Kinetic energy = 1/2 mv^2 has dimensions M x (LT^-1)^2 = ML^2T^-2.

  5. Question 5

    Identify the pair which has identical dimensions:

    • AWork and power
    • BAngular momentum and torque
    • CMoment of inertia and moment of force
    • DImpulse and momentum
    Show answer

    Answer: D

    Impulse = force x time = MLT^-1 which is the dimension of momentum.

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