Length, mass and temperature are all SI base quantities. State two other SI base quantities.
- (a)Length, mass and temperature are all SI base quantities. State two other SI base quantities.[2]
- (b)(i)The acceleration of free fall g may be determined from an oscillating pendulum using the equation g = 4π²l –––– T² where l is the length of the pendulum and T is the period of oscillation. In an experiment, the measured values for an oscillating pendulum are l = 1.50m ± 2% and T = 2.48s ± 3%. Calculate the acceleration of free fall g.[1]
- (b)(ii)Determine the percentage uncertainty in g.[2]
- (b)(iii)Use your answers in (b)(i) and (b)(ii) to determine the absolute uncertainty of the calculated value of g.[1]
Mark scheme
Marking points from the official mark scheme (Feb/Mar 2020). The mark or mark type is shown in brackets.
- B2 time
- B2 (electric) current
- B2 allow amount of substance
- B2 allow luminous intensity
- B2 any two of the above quantities, 1 mark each
- C1 g = (4π² × 1.50) / (2.48²)
- A1 = 9.63 m s⁻²
- C1 percentage uncertainty = 2 + (3 × 2)
- C1 or fraction uncertainty = 0.02 + (0.03 × 2)
- A1 percentage uncertainty = 8%
- A1 absolute uncertainty = 0.08 x 9.6
- A1 = 0.8 m s⁻²
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