Physics 9702 · AS & A Level · Errors and uncertainties

Errors and uncertainties — practice question

Complete every question in the spaces given.
(a(i))[1]

Estimate the mass, in g, of a new pencil.

(a(ii))[1]

Estimate the wavelength of ultraviolet radiation.

(b(i))[1]

The period $T$ for the oscillations of a mass $m$ attached to a spring is given by $T = 2\pi\sqrt{\frac{m}{k}}$, where $k$ is the spring constant of the spring. The manufacturer states that the spring has a spring constant of $25\,\text{N m}^{-1} \pm 8\%$. A mass of $200 \times 10^{-3}\,\text{kg} \pm 4 \times 10^{-3}\,\text{kg}$ is hung from the end of the spring and then set into oscillation. Calculate the period $T$ of the oscillations.

(b(ii))[3]

Find $T$, together with its absolute uncertainty, and present it to an appropriate number of significant figures.

Worked solution & mark scheme

This 6-mark question has a full step-by-step worked solution and mark scheme. One marking point: A value within the $1$-$20\,\text{g}$ interval

  • Full mark scheme, point by point
  • Step-by-step worked solution
  • Write your answer & get it marked instantly by AI