A student determines the internal diameter ddd of a cylindrical vial by measuring the height hhh of a water column inside it when different volumes VVV of water are added.
Describe how the student should read the scale of a measuring cylinder to avoid a line-of-sight (parallax) error.
The student plots a graph of V/cm3V / \text{cm}^3V/cm3 on the yyy-axis against h/cmh / \text{cm}h/cm on the xxx-axis and draws a straight line of best fit. The line of best fit passes through the points (1.0,5.0)(1.0, 5.0)(1.0,5.0) and (13.0,59.0)(13.0, 59.0)(13.0,59.0). Calculate the gradient GGG of this line, including its unit.
The internal diameter ddd of the cylindrical vial is given by the equation:
d=kG d = k \sqrt{G} d=kGwhere k=1.13 cmk = 1.13\text{ cm}k=1.13 cm. Calculate ddd to 2 significant figures.
Suggest one practical reason why the calculated value for ddd is only an approximation.
164 exam-style questions on CIE IGCSE Physics Physical quantities and measurement techniques, covering Physical quantities and measurement techniques. Each one has a worked solution and a mark scheme showing where the marks go.