CAIE A-Level Physics Graphs, Gradients, Intercepts and Areas

Practise selecting graph variables and scales, identifying graph forms, finding gradients, intercepts, intersections or tangents, and interpreting areas when the model supports…

Exam points

choose variables and scales and determine gradients, intercepts or intersections from experimental graphs
draw and interpret straight-line or curved best-fit trends, including tangents and area under a curve where relevant

[Maximum number: 2]

A diffraction grating is used with different wavelengths of light. The angle $\theta$ of the second order maximum is measured for each wavelength. The variation with wavelength $\lambda$ of $\sin \theta$ is shown in Fig. 5.1.

Fig. 5.1

Determine the gradient of the line shown in Fig. 5.1.

gradient =

e.g. gradient $=(0.40-0.32) /\left[(500-400) \times 10^{-9}\right]$

C1

$=8(.0) \times 10^{5}$

A1

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M.4-Graphs, gradients, intercepts and areas question 1