A unit may be stated with a prefix that represents a power-of-ten multiple or submultiple. Complete Table 1.1 to show the name and symbol of each prefix and the corresponding power-of-ten multiple or submultiple. Table 1.1 prefix | power-of-ten multiple or submultiple kilo (k) | 10³ tera (T) | ( ) | 10⁻¹²
- (a)A unit may be stated with a prefix that represents a power-of-ten multiple or submultiple. Complete Table 1.1 to show the name and symbol of each prefix and the corresponding power-of-ten multiple or submultiple. Table 1.1 prefix | power-of-ten multiple or submultiple kilo (k) | 10³ tera (T) | ( ) | 10⁻¹²[2]
- (b)In the following list, underline all the units that are SI base units. ampere coulomb metre newton[1]
- (c)(i)The potential difference V between the two ends of a uniform metal wire is given by V = 4ρLI / πd² where d is the diameter of the wire, I is the current in the wire, L is the length of the wire, and ρ is the resistivity of the metal. For a particular wire, the percentage uncertainties in the values of some of the above quantities are listed in Table 1.2. Table 1.2 quantity | percentage uncertainty d | ±3.0% I | ±2.0% L | ±2.5% V | ±3.5% The quantities listed in Table 1.2 have values that are used to calculate ρ as 4.1 × 10⁻⁷ Ωm. For this value of ρ, calculate: (i) the percentage uncertainty percentage uncertainty = ................................................... %[2]
- (c)(ii)(ii) the absolute uncertainty. absolute uncertainty = .................................................... Ωm[1]
Mark scheme
Marking points from the official mark scheme (Oct/Nov 2021). The mark or mark type is shown in brackets.
- [B1] 10¹²
- [B1] pico (p)
- [B1] ampere and metre both underlined (and no other units underlined)
- [C1] percentage uncertainty = 3.5 + (3.0 × 2) + 2.5 + 2.0
- [A1] = 14%
- [A1] absolute uncertainty = 4.1 × 10⁻⁷ × 14 / 100
- [A1] = 6 × 10⁻⁸ Ωm
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